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Manual Casio FX-CG20

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  • Casio FX-CG20 - page 1

    CASIO W orldwide Education W ebsite http://edu.casio .com CASIO EDUCA TIONAL FOR UM http://edu.casio .com/f or um/ fx - CG 1 0 fx- CG2 0 Sof t wa r e User’s Guide E CASIO ...

  • Casio FX-CG20 - page 2

    CASIO i • The contents of this user’s guide are subject to change without notice. • No part of this user’s guide may be reproduced in any form without the express written consent of the manufacturer. • Be sure to keep all user documentation handy for future reference. ...

  • Casio FX-CG20 - page 3

    CASIO ii Content s Getting Acquainted — Read This First! Chapter 1 Basic Operation 1. Keys ...................................................................................................................... ........ 1-1 2. Display .................................................................................................................. ...

  • Casio FX-CG20 - page 4

    CASIO iii Chapter 6 Statistical Graphs and Calculations 1. Before Performing Statistical Calculations .................................................................... 6-1 2. Calculating and Graphing Single-Variable Statistical Data ........................................... 6-8 3. Calculating and Graphing Paired-Variable Statistical Data (Curv ...

  • Casio FX-CG20 - page 5

    CASIO iv Chapter 12 System Manager 1. Using the System Manager ......................................................................................... 12-1 2. System Settings .......................................................................................................... 12-1 Chapter 13 Data Communication 1. Performing Data Communicatio ...

  • Casio FX-CG20 - page 6

    CASIO v G et ting A cqu ainte d — Read This F irst ! k About this User’s Guide u Math natural input and display Under its initial default settings, the calculator is set up to use the “Math input/output mode”, which enables natural input and display of math expressions. This means you can input fractions, square roots, derivatives, and othe ...

  • Casio FX-CG20 - page 7

    CASIO vi u Menu Titles • Menu titles in this User’s Guide include the key operation required to display the menu being explained. The key operation for a menu that is displayed by pressing K and then {LIST} would be shown as: [OPTN] - [LIST] . • 6 ( g ) key operations to change to another menu page are not shown in menu title key operations. ...

  • Casio FX-CG20 - page 8

    CASIO 1-1 Chapter 1 Basic Op eration 1. Keys k Key Table P age P age P age P age P age P age P age P age P age P age P age 2-1 1-31 1-32 1-2 2-16 2-16 2-1 2-1, 2-22 2-1 2-7 2-35 2-16 2-9 5-52 5-4 5-50 5-54 5-2, 5-33 5-8 1-27 2-16 2-17 2-17 1-22, 2-22 2-22 2-22 1-19 1-8 2-1 2-1 2-11 2-1 1-7,1-17 2-1 1-12 2-16 2-9 1-11 5-4, 5-15 2-48 1-36 1-12 3-3 2- ...

  • Casio FX-CG20 - page 9

    CASIO 1-2 k Key Markings Many of the calculator’s keys are used to perform more than one function. The functions marked on the keyboard are color coded to help you find the one you need quickly and easily. Function Key Operation 1 log l 2 10 x !l 3 B al The following describes the color coding used for key markings. Color Key Operation Yellow Pre ...

  • Casio FX-CG20 - page 10

    CASIO 1-3 2. Display k Selecting Icons This section describes how to select an icon in the Main Menu to enter the mode you want. u To select an icon 1. Press m to display the Main Menu. 2. Use the cursor keys ( d , e , f , c ) to move the highlighting to the icon you want. 3. Press w to display the initial screen of the mode whose icon you selected ...

  • Casio FX-CG20 - page 11

    CASIO 1-4 Icon Mode Name Description Table Use this mode to store functions, to generate a numeric table of different solutions as the values assigned to variables in a function change, and to draw graphs. Recursion Use this mode to store recursion formulas, to generate a numeric table of different solutions as the values assigned to variables in a ...

  • Casio FX-CG20 - page 12

    CASIO 1-5 k About the Function Menu Use the function keys ( 1 to 6 ) to access the menus and commands in the menu bar along the bottom of the display screen. You can tell whether a menu bar item is a menu or a command by its appearance. k Status Bar The status bar is an area that displays messages and the current status of the calculator. It is alw ...

  • Casio FX-CG20 - page 13

    CASIO 1-6 k About Display Screens This calculator uses two types of display screens: a text screen and a graph screen. The text screen can show 21 columns and 8 lines of characters, with the bottom line used for the function key menu. The graph screen uses an area that measures 384 (W) × 216 (H) dots. Text Screen Graph Screen k Normal Display The ...

  • Casio FX-CG20 - page 14

    CASIO 1-7 k Special Display Formats This calculator uses special display formats to indicate fractions, hexadecimal values, and degrees/minutes/seconds values. u Fractions .................... Indicates: 456 12 23 u Hexadecimal Values .................... Indicates: 0ABCDEF1 (16) , which equals 180150001 (10) u Degrees/Minutes/Seconds ............. ...

  • Casio FX-CG20 - page 15

    CASIO 1-8 u To change a step Example To change cos60 to sin60 Ac ga ddd D s u To delete a step Example To change 369 × × 2 to 369 × 2 A dgj**c d D In the insert mode, the D key operates as a backspace key. u To insert a step Example To change 2.36 2 to sin2.36 2 A c.dg x ddddddd s k Parentheses Colors during Calculation Formula Input Parentheses ...

  • Casio FX-CG20 - page 16

    CASIO 1-9 • Inputting a closing parenthesis assigns it the same color as the corresponding opening parenthesis. • The parentheses of parenthetical expressions that are of the same level are the same color. Executing a calculation causes the color of all parentheses to become black. k Using Replay Memory The last calculation performed is always ...

  • Casio FX-CG20 - page 17

    CASIO 1-10 After you press A , you can press f or c to recall previous calculations, in sequence from the newest to the oldest (Multi-Replay Function). Once you recall a calculation, you can use e and d to move the cursor around the calculation and make changes in it to create a new calculation. Example 2 A bcd+efg w cde-fgh w A f (One calculation ...

  • Casio FX-CG20 - page 18

    CASIO 1-11 k Using the Clipboard for Copy and Paste You can copy (or cut) a function, command, or other input to the clipboard, and then paste the clipboard contents at another location. Note In the Math input/output mode, the copy (or cut) range you can specify is limited by the range of movement of the cursor. In the case of parentheses, you can ...

  • Casio FX-CG20 - page 19

    CASIO 1-12 u Pasting Text Move the cursor to the location where you want to paste the text, and then press ! j (PASTE). The contents of the clipboard are pasted at the cursor position. A ! j (PASTE) k Catalog Function The Catalog is an alphabetic list of all the commands available on this calculator. You can input a command by calling up the Catalo ...

  • Casio FX-CG20 - page 20

    CASIO 1-13 4. Using the Math Input/Output Mode Selecting “Math” for the “Input/Output” mode setting on the Setup screen (page 1-32) turns on the Math input/output mode, which allows natural input and display of certain functions, just as they appear in your textbook. • The operations in this section all are performed in the Math input/out ...

  • Casio FX-CG20 - page 21

    CASIO 1-14 Function/Symbol Key Operation Bytes Parentheses ( and ) 1 Braces (Used during list input.) ! * ( { ) and ! / ( } ) 1 Brackets (Used during matrix input.) ! + ( [ ) and ! - ( ] ) 1 * 1 Mixed fraction is supported in the Math input/output mode only. * 2 For information about function input from the MATH function menu, see “Using the MATH ...

  • Casio FX-CG20 - page 22

    CASIO 1-15 u Math Input/Output Mode Input Examples This section provides a number of different examples showing how the MATH function menu and other keys can be used during Math input/output mode natural input. Be sure to pay attention to the input cursor position as you input values and data. Example 1 To input 2 3 + 1 A c M d e +b w Example 2 To ...

  • Casio FX-CG20 - page 23

    CASIO 1-16 Example 3 To input 1+ x + 1 dx 0 1 A b+ 4 (MATH) 6 ( g ) 1 ( ∫ d x ) v +b e a f b e w Example 4 To input 2 × 1 2 2 1 2 2 A c* 4 (MATH) 1 (MAT) 1 (2×2) v b c c ee !x ( ' ) c e e !x ( ' ) c ee v b c c w ...

  • Casio FX-CG20 - page 24

    CASIO 1-17 u When the calculation does not fit within the display window Arrows appear at the left, right, top, or bottom edge of the display to let you know when there is more of the calculation off the screen in the corresponding direction. When you see an arrow, you can use the cursor keys to scroll the screen contents and view the part you want ...

  • Casio FX-CG20 - page 25

    CASIO 1-18 This capability can be used with the following functions. Function Key Operation Original Expression Expression After Insertion Improper Fraction v Power M ' !x ( ' ) Cube Root ! ( ( 3 ' ) Power Root ! M ( x ' ) e x !I ( e x ) 10 x !l (10 x ) log(a,b) 4 (MATH) 2 (log a b) Absolute Value 4 (MATH) 3 (Abs) First Derivati ...

  • Casio FX-CG20 - page 26

    CASIO 1-19 • Note the following cursor operations you can use while inputting a calculation with Math input/output mode. To do this: Press this key: Move the cursor from the end of the calculation to the beginning e Move the cursor from the beginning of the calculation to the end d k Using Undoing and Redoing Operations You can use the following ...

  • Casio FX-CG20 - page 27

    CASIO 1-20 k Math Input/Output Mode Calculation Result Display Fractions, matrices, and lists produced by Math input/output mode calculations are displayed in natural format, just as they appear in your textbook. Sample Calculation Result Displays • Fractions are displayed either as improper fractions or mixed fractions, depending on the “Frac ...

  • Casio FX-CG20 - page 28

    CASIO 1-21 k History Function The history function maintains a history of calculation expressions and results in the Math input/output mode. Up to 30 sets of calculation expressions and results are maintained. b+c w *c w You can also edit the calculation expressions that are maintained by the history function and recalculate. This will recalculate ...

  • Casio FX-CG20 - page 29

    CASIO 1-22 k Calculation Operations in the Math Input/Output Mode This section introduces Math input/output mode calculation examples. • For details about calculation operations, see “Chapter 2 Manual Calculations”. u Performing Function Calculations Using Math Input/Output Mode Example Operation = 4×5 6 10 3 ( ) = 3 π 2 1 cos (Angle: Rad) ...

  • Casio FX-CG20 - page 30

    CASIO 1-23 k Performing Matrix Calculations Using Math Input/Output Mode u To specify the dimensions (size) of a matrix 1. In the Run-Matrix mode, press !m (SET UP) 1 (Math) J . 2. Press 4 (MATH) to display the MATH menu. 3. Press 1 (MAT) to display the following menu. • { 2 × 2 } … {inputs a 2 × 2 matrix} • { 3 × 3 } … {inputs a 3 × 3 ...

  • Casio FX-CG20 - page 31

    CASIO 1-24 u To input cell values Example To perform the calculation shown below The following operation is a continuation of the example calculation on the previous page. b e b v c ee dd e bd v e ee f e g e *i w u To assign a matrix created using Math input/output mode to a specified matrix memory Example To assign the calculation result to Mat J ...

  • Casio FX-CG20 - page 32

    CASIO 1-25 k Using Graph Modes and the Equation Mode in the Math Input/Output Mode Using the Math input/output mode with any of the modes below lets you input numeric expressions just as they are written in your text book and view calculation results in natural display format. Modes that support input of expressions as they are written in textbooks ...

  • Casio FX-CG20 - page 33

    CASIO 1-26 Example 2 In the Graph mode, input the function y = x 2 − x −1 d x ∫ x 4 1 2 1 0 and then graph it. Make sure that initial default settings are configured on the View Window. m Graph K 2 (CALC) 3 ( ∫ d x ) b v e e vx -b v c e v -b e a e vw 6 (DRAW) • Math Input/Output Mode Input and Result Display in the Equation Mode You can u ...

  • Casio FX-CG20 - page 34

    CASIO 1-27 5. Option (OPTN) Menu The option menu gives you access to scientific functions and features that are not marked on the calculator’s keyboard. The contents of the option menu differ according to the mode you are in when you press the K key. • The option menu does not appear if you press K while binary, octal, decimal, or hexadecimal i ...

  • Casio FX-CG20 - page 35

    CASIO 1-28 6. Variable Data (VARS) Menu To recall variable data, press J to display the variable data menu. { V-WIN } / { FACTOR } / { STAT } / { GRAPH } / { DYNA } / { TABLE } / { RECURSION } / { EQUATION } / { FINANCE } / { Str } • Note that the EQUATION and FINANCE items appear for function keys ( 3 and 4 ) only when you access the variable da ...

  • Casio FX-CG20 - page 36

    CASIO 1-29 • { PTS } ... {summary point data menu} • { x 1 } / { y 1 } / { x 2 } / { y 2 } / { x 3 } / { y 3 } ... coordinates of summary points • { INPUT } ... {statistical calculation input values} • { n } / { ¯ x } / { s x } / { n 1 } / { n 2 } / { ¯ x 1 } / { ¯ x 2 } / { s x 1 } / { s x 2 } / { s p } ... {size of sample}/{mean of sam ...

  • Casio FX-CG20 - page 37

    CASIO 1-30 u TABLE — Recalling table setup and content data • { Start } / { End } / { Pitch } ... {table range start value}/{table range end value}/{table value increment} • { Result * 1 } ... {matrix of table contents} * 1 The Result item appears only when the TABLE menu is displayed in the Run-Matrix and Program modes. u RECURSION — Recal ...

  • Casio FX-CG20 - page 38

    CASIO 1-31 7. Program (PRGM) Menu To display the program (PRGM) menu, first enter the Run-Matrix or Program mode from the Main Menu and then press ! J (PRGM). The following are the selections available in the program (PRGM) menu. • The program (PRGM) menu items are not displayed when “Math” is selected for the “Input/ Output” mode setting ...

  • Casio FX-CG20 - page 39

    CASIO 1-32 8. Using the Setup Screen The mode’s Setup screen shows the current status of mode settings and lets you make any changes you want. The following procedure shows how to change a setup. u To change a mode setup 1. Select the icon you want and press w to enter a mode and display its initial screen. Here we will enter the Run-Matrix mode. ...

  • Casio FX-CG20 - page 40

    CASIO 1-33 u Func Type (graph function type) Pressing one of the following function keys also switches the function of the v key. • { Y= } / { r= } / { Parm } / { X= } ... {rectangular coordinate (Y= f ( x ) type)}/{polar coordinate}/ {parametric}/{rectangular coordinate (X= f ( y ) type)} graph • { Y> } / { Y< } / { Y t } / { Y s } ... { ...

  • Casio FX-CG20 - page 41

    CASIO 1-34 u List File (list file display settings) • { FILE } ... {settings of list file on the display} u Sub Name (list naming) • { On } / { Off } ... {display on}/{display off} u Graph Func (function display during graph drawing and trace) • { On } / { Off } ... {display on}/{display off} u Dual Screen (dual screen mode status) • { G+G ...

  • Casio FX-CG20 - page 42

    CASIO 1-35 u Slope (display of derivative at current pointer location in conic section graph) • { On } / { Off } ... {display on}/{display off} u Payment (payment period setting) • { BEGIN } / { END } ... {beginning}/{end} setting of payment period u Date Mode (number of days per year setting) • { 365 } / { 360 } ... interest calculations usi ...

  • Casio FX-CG20 - page 43

    CASIO 1-36 9. Using Screen Capture Any time while operating the calculator, you can capture an image of the current screen and save it in capture memory. u To capture a screen image 1. Operate the calculator and display the screen you want to capture. 2. Press ! h (CAPTURE). • This displays a memory area selection dialog box. 3. Input a value fro ...

  • Casio FX-CG20 - page 44

    CASIO 1-37 10. When you keep having problems… If you keep having problems when you are trying to perform operations, try the following before assuming that there is something wrong with the calculator. k Getting the Calculator Back to its Original Mode Settings 1. From the Main Menu, enter the System mode. 2. Press 5 (RESET). 3. Press 1 (SETUP), ...

  • Casio FX-CG20 - page 45

    CASIO 1-38 u Reset Use reset when you want to delete all data currently in calculator memory and return all mode settings to their initial defaults. Before performing the reset operation, first make a written copy of all important data. For details, see “Reset” (page 12-4). k Low Battery Message If the following message appears on the display, ...

  • Casio FX-CG20 - page 46

    CASIO 1-39 Note • The fx-CG10 will not be able to import image files saved using the above procedures on the fx-CG20. • The fx-CG20 will be able to read image files saved using the above procedures on the fx- CG10. • eActivity files that contain inserted images that were stored (or updated) on the fx-CG20 cannot be opened with the fx-CG10. ? ...

  • Casio FX-CG20 - page 47

    CASIO 2-1 Chapter 2 Man ua l C al cu lat io ns 1. Basic Calculations k Arithmetic Calculations • Enter ar ithmetic calculations as they are written, from left to right. • Use the - ke y to input the minus sign bef ore a negative v alue. • Calculations are performed inter nally with a 15-digit mantissa. The result is rounded to a 10- digit man ...

  • Casio FX-CG20 - page 48

    CASIO 2-2 Example 1 100 ÷ 6 = 16.66666666... Condition Operation Display 100 / 6 w 16.66666667 4 decimal places !m (SET UP) ff 1 (Fix) e wJw 16.6667 5 significant digits !m (SET UP) ff 2 (Sci) f wJw 1.6667 E +01 Cancels specification !m (SET UP) ff 3 (Nor m) Jw 16.66666667 * 1 Displa yed v alues are rounded off to the place y ou specify . Example ...

  • Casio FX-CG20 - page 49

    CASIO 2-3 k Calculation Priority Sequence This calculator emplo ys tr ue algebraic logic to calculate the par ts of a f or mula in the f ollowing order : 1 T ype A functions • Coordinate transf or mation P ol ( x , y ), Rec ( r , θ ) • Functions that include parentheses (such as der ivativ es, integ rations, Σ , etc.) d / d x , d 2 / d x 2 , ...

  • Casio FX-CG20 - page 50

    CASIO 2-4 Example 2 + 3 × (log sin2 π 2 + 6.8) = 22.07101691 (angle unit = Rad) • When functions with the same pr iority are used in ser ies, e x ecution is performed from r ight to left. e x In 120 → e x {In( 120 )} Otherwise, e xecution is from left to right. • Compound functions are ex ecuted from r ight to left. • Anything contained w ...

  • Casio FX-CG20 - page 51

    CASIO 2-5 • In the cases shown below , a calculation result may be ab le to be displa yed in ' f or mat e ven if their coefficients ( a , c , d ) are outside the abo ve r anges. A ' format calculation result uses a common denominator . a ' b c + d ' e f → a ´ ' b + d ´ ' e c ´ * c ´ is the least common multiple ...

  • Casio FX-CG20 - page 52

    CASIO 2-6 u Calculation Result Display Range with π A calculation results is displa yed using π format in the follo wing cases. • When the calculation result can be display ed in the f or m n π n is an integer up to |10 6 |. • When the calculation result can be display ed in the f or m a b c π or b c π Howe v er , {number of a digits + num ...

  • Casio FX-CG20 - page 53

    CASIO 2-7 k Overflow and Errors Exceeding a specified input or calculation range , or attempting an illegal input causes an error message to appear on the displa y . Fur ther operation of the calculator is impossible while an error message is displa yed. For details , see the “Error Message T able” on page α -1. • Most of the calculator’ s ...

  • Casio FX-CG20 - page 54

    CASIO 2-8 u T o assign a value to a variable [v alue] a [variable name] w Example 1 T o assign 123 to variable A A bcd a av (A) w Example 2 T o add 456 to variable A and store the result in variable B Aav (A) +efg a al (B) w • Y ou can input an X v ariable by pressing a + (X) or v . Pressing a + (X) will input X, while pressing v will input x . V ...

  • Casio FX-CG20 - page 55

    CASIO 2-9 Example T o assign string “ABC” to Str 1 and then output Str 1 to the display !m (SET UP) 2 (Line) J A!a ( A -LOCK) E (”) v (A) l (B) I (C) E (”) a (Releases Alpha Loc k.) a J 6 ( g ) 5 (Str) b w 5 (Str) b w String is display ed justified left. • P erf or m the abov e operation in the Linear input/output mode. It cannot be perfo ...

  • Casio FX-CG20 - page 56

    CASIO 2-10 u T o recall a function Example T o recall the contents of function memory number 1 A K 6 ( g ) 6 ( g ) 3 (FUNCMEM) 2 (RECALL) b w • The recalled function appears at the current location of the cursor on the display . u T o recall a function as a variable A d a av (A) w b a al (B) w K 6 ( g ) 6 ( g ) 3 (FUNCMEM) 3 (fn) b+c w u T o disp ...

  • Casio FX-CG20 - page 57

    CASIO 2-11 k Answer Function The Ans wer Function automatically stores the last result y ou calculated by pressing w (unless the w ke y operation results in an error). The result is stored in the ans wer memor y . • The largest value that the ans wer memor y can hold is 15 digits for the mantissa and 2 digits f or the e xponent. • Answ er memor ...

  • Casio FX-CG20 - page 58

    CASIO 2-12 3. Specifying the Angle Unit and Display Format Bef ore perf or ming a calculation, you should use the Setup screen to specify the angle unit and displa y f or mat. k Setting the Angle Unit [SET UP] - [Angle] 1. On the Setup screen, highlight “Angle”. 2. Press the function ke y for the angle unit y ou want to specify , then press J . ...

  • Casio FX-CG20 - page 59

    CASIO 2-13 u T o specify the number of significant digits ( Sci) Example T o specify three significant digits 2 (Sci) d w Press the number key that corresponds to the number of significant digits you want to specify ( n = 0 to 9). Specifying 0 makes the number of significant digits 10. • Display ed v alues are rounded off to the number of signifi ...

  • Casio FX-CG20 - page 60

    CASIO 2-14 4. Function Calculations k Function Menus This calculator includes fiv e function menus that giv e you access to scientific functions not printed on the ke y panel. • The contents of the function menu diff er according to the mode you entered from the Main Menu bef ore y ou pressed the K ke y . The follo wing examples sho w function me ...

  • Casio FX-CG20 - page 61

    CASIO 2-15 u Angle Units, Coordinate Conversion, Sexagesimal Operations (ANGLE) [OPTN] - [ANGLE] • { ° } / { r } / { g } ... {degrees}/{radians}/{grads} f or a specific input value • { ° ’ ” } ... {specifies degrees (hours), minutes , seconds when inputting a degrees/minutes/ seconds value} • { ° ’ ” } ... {conv er ts decimal value ...

  • Casio FX-CG20 - page 62

    CASIO 2-16 k T rigonometric and Inverse T rigonometric Functions • Be sure to set the angle unit before perf or ming tr igonometr ic function and inv erse trigonometr ic function calculations. • Be sure to specify Comp for Mode in the Setup screen. Example Operation cos ( π 3 rad) = 2 1 (0.5) !m (SET UP) cccccc 2 (Rad) J c$!E ( π ) c 3 w < ...

  • Casio FX-CG20 - page 63

    CASIO 2-17 k Hyperbolic and Inverse Hyperbolic Functions • Be sure to specify Comp for Mode in the Setup screen. Example Operation sinh 3.6 = 18.28545536 K 6 ( g ) 2 (HYPERBL) 1 (sinh) 3.6 w cosh –1 20 15 = 0.7953654612 K 6 ( g ) 2 (HYPERBL) 5 (cosh –1 ) $ 20 c 15 w <Linear input/output mode> K 6 ( g ) 2 (HYPERBL) 5 (cosh –1 ) ( 20 / ...

  • Casio FX-CG20 - page 64

    CASIO 2-18 Ran# Examples Example Operation Ran# (Generates a random n umber .) K 6 ( g ) 3 (PROB) 4 (RAND) 1 (Ran#) w (Each press of w generates a ne w random number .) w w Ran# 1 (Generates the first random n umber in sequence 1.) (Generates the second random n umber in sequence 1.) K 6 ( g ) 3 (PROB) 4 (RAND) 1 (Ran#) 1 w w Ran# 0 (Initializes th ...

  • Casio FX-CG20 - page 65

    CASIO 2-19 u Random Integer Generation (RanInt#) RanInt# generates random integers that f all between two specified integers . RanInt# (A, B [, n ]) A < B |A|,|B| < 1 E 10 B – A < 1 E 10 1 < n < 999 • A is the star t value and B is the end v alue. Omitting a value f or n returns a generated random number as-is . Specifying a valu ...

  • Casio FX-CG20 - page 66

    CASIO 2-20 u Random Number Generation in Accordance with Binomial Distribution (RanBin#) This function generates random integers in accordance with binomial distrib ution based on v alues specified for the n umber of tr ials n and probability p . RanBin# ( n , p [, m ]) 1 < n < 100000 1 < m < 999 0 < p < 1 • Omitting a value f o ...

  • Casio FX-CG20 - page 67

    CASIO 2-21 k Permutation and Combination u Permutation u Combination • Be sure to specify Comp for Mode in the Setup screen. Example 1 T o calculate the possible number of different arrangements using 4 items selected from among 10 items Formula Operation 10 P 4 = 5040 10 K 6 ( g ) 3 (PROB) 2 ( n P r ) 4 w Example 2 T o calculate the possible num ...

  • Casio FX-CG20 - page 68

    CASIO 2-22 k Fractions • In the Math input/output mode, the fraction input method is diff erent from that descr ibed below . For fr action input operations in the Math input/output mode, see page 1-13. • Be sure to specify Comp for Mode in the Setup screen. Example Operation 2 1 73 –– + 3 –– = –– – 5 4 20 = 3.65 (Conv ersion to de ...

  • Casio FX-CG20 - page 69

    CASIO 2-23 k Logical Operators (AND, OR, NOT , XOR) [OPTN] - [LOGIC] The logical operator menu pro vides a selection of logical operators . • { And } / { Or } / { Not } / { Xor } ... {logical AND}/{logical OR}/{logical NOT}/{logical XOR} • Be sure to specify Comp for Mode in the Setup screen. Example What is the logical AND of A and B when A = ...

  • Casio FX-CG20 - page 70

    CASIO 2-24 5. Numerical Calculations The f ollowing e xplains the numerical calculation operations included in the function menu displa yed when K 4 (CALC) is pressed. The f ollowing calculations can be perf or med. • { Int÷ } / { Rmdr } / { Simp } ... {quotient}/{remainder}/{simplification} • { Solve } / { d / d x } / { d 2 / d x 2 } / { ∫ ...

  • Casio FX-CG20 - page 71

    CASIO 2-25 k Simplification [OPTN] - [CALC] - [Simp] The “ ' Simp” function can be used to simplify fractions manually . The f ollowing operations can be used to perf or m simplification when an unsimplified calculation result is on the display . • { Simp } w ... This function automatically simplifies the displa yed calculation result us ...

  • Casio FX-CG20 - page 72

    CASIO 2-26 Example 2 T o simplify 27 63 specifying a divisor of 9 = 27 63 3 7 A$ ch c gd w K 4 (CALC) 6 ( g ) 6 ( g ) 3 (Simp) j w • An error occurs if simplification cannot be performed using the specified divisor . • Ex ecuting ' Simp while a value that cannot be simplified is displa yed will return the or iginal v alue, without displa y ...

  • Casio FX-CG20 - page 73

    CASIO 2-27 • The lower limit and upper limit specify the r ange of the solution. Y ou can input a v alue or an e xpression as the range. • The follo wing functions cannot be used within any of the arguments . Solv e(, d 2 / d x 2 (, FMin(, FMax(, Σ ( Up to 10 calculation results can be displa yed sim ultaneously in ListAns format. • The mess ...

  • Casio FX-CG20 - page 74

    CASIO 2-28 In this definition, infinitesimal is replaced by a sufficiently small A x , with the value in the neighborhood of f ' ( a ) calculated as: Example T o determine the derivative at x = 3 for the function y = x 3 + 4 x 2 + x – 6 Input the function f ( x ). A K 4 (CALC) 2 ( d / d x ) v M d e +e vx + v -g e Input point x = a f or which ...

  • Casio FX-CG20 - page 75

    CASIO 2-29 k Second Derivative Calculations [OPTN] - [CALC] - [ d 2 / d x 2 ] After displa ying the function analysis menu, y ou can input second der ivativ es using the f ollowing syntax. <Math input/output mode> K 4 (CALC) 3 (d 2 /d x 2 ) f ( x ) e a or 4 (MA TH) 5 (d 2 /d x 2 ) f ( x ) e a <Linear input/output mode> K 4 (CALC) 3 ( d ...

  • Casio FX-CG20 - page 76

    CASIO 2-30 k Integration Calculations [OPTN] - [CALC] - [ ∫ d x ] T o perf or m integration calculations , first display the function analysis men u and then input the v alues using the syntax below . <Math input/output mode> K 4 (CALC) 4 ( ∫ d x ) f ( x ) e a f b or 4 (MA TH) 6 ( g ) 1 ( ∫ d x ) f ( x ) e a f b <Linear input/output ...

  • Casio FX-CG20 - page 77

    CASIO 2-31 Note the f ollowing points to ensure correct integr ation values . (1) When cyclical functions f or integration v alues become positive or negativ e for diff erent divisions, perf or m the calculation for single cycles , or divide between negativ e and positive , and then add the results together . P ositive par t ( S ) Negative part ( S ...

  • Casio FX-CG20 - page 78

    CASIO 2-32 Integration Calculation Precautions • In the function f ( x ), only X can be used as a variab le in expressions . Other variab les (A through Z e xcluding X, r ,  ) are treated as constants, and the v alue currently assigned to that v ar iable is applied during the calculation. • Input of “ tol ” and closing parenthesis can be ...

  • Casio FX-CG20 - page 79

    CASIO 2-33 • Input integers only for the initial term ( α ) of sequence a k and last ter m ( β ) of sequence a k . • Input of n and the closing parentheses can be omitted. If you omit n , the calculator automatically uses n = 1. • Make sure that the v alue used as the final ter m β is greater than the v alue used as the initial ter m α . ...

  • Casio FX-CG20 - page 80

    CASIO 2-34 • Input of n and the closing parenthesis can be omitted. • Discontinuous points or sections with drastic fluctuation can adv ersely aff ect precision or e ven cause an error . • Inputting a larger value f or n increases the precision of the calculation, b ut it also increases the amount of time required to perf or m the calculation ...

  • Casio FX-CG20 - page 81

    CASIO 2-35 Press K 3 (COMPLEX) to displa y the comple x calculation number menu, which contains the f ollowing items . • { i } ... {imaginar y unit i input} • { Abs } / { Arg } ... obtains {absolute value}/{argument} • { Conjg } ... {obtains conjugate} • { ReP } / { ImP } ... {real}/{imaginar y} par t extraction • { ' r ∠  } / { ...

  • Casio FX-CG20 - page 82

    CASIO 2-36 k Complex Number Format Using Polar Form Example 2 ∠ 30 × 3 ∠ 45 = 6 ∠ 75 !m (SET UP) cccccc 1 (Deg) c 3 ( r ∠  ) J A c !v ( ∠ ) da*d !v ( ∠ ) ef w k Absolute V alue and Argument [OPTN] - [COMPLEX] - [Abs]/[Arg] The unit regards a comple x number in the f or m a + b i as a coordinate on a Gaussian plane, and calculates ab ...

  • Casio FX-CG20 - page 83

    CASIO 2-37 k Conjugate Complex Numbers [OPTN] - [COMPLEX] - [Conjg] A comple x number of the f or m a + b i becomes a conjugate comple x number of the f or m a – b i . Example T o calculate the conjugate complex number for the complex number 2 + 4 i A K 3 (COMPLEX) 4 (Conjg) (c+e 1 ( i ) ) w k Extraction of Real and Imaginary Parts [OPTN] - [COMP ...

  • Casio FX-CG20 - page 84

    CASIO 2-38 7. Binary , Octal, Decimal, and Hexadecimal Calculations with Integers Y ou can use the Run-Matrix mode and binar y , octal, decimal, and he xadecimal settings to perf or m calculations that inv olv e binar y , octal, decimal and hexadecimal v alues. Y ou can also conv er t between number systems and perf or m bitwise operations . • Y ...

  • Casio FX-CG20 - page 85

    CASIO 2-39 k Selecting a Number System Y ou can specify decimal, hexadecimal, binary , or octal as the def ault number system using the Setup screen. u T o perform a binary , octal, decimal, or hexadecimal calculation [SET UP] - [Mode] - [Dec]/[Hex]/[Bin]/[Oct] 1. In the Main Menu, select Run-Matrix . 2. Press !m (SET UP). Mov e the highlighting to ...

  • Casio FX-CG20 - page 86

    CASIO 2-40 u Negative V alues Example T o determine the negative of 1 10010 2 !m (SET UP) Mov e the highlighting to “Mode”, and then press 4 (Bin) J . A2 (LOGIC) 1 (Neg) bbaaba w • Negative binary , octal, and he xadecimal values are produced b y taking the binar y two’ s complement and then retur ning the result to the original number base ...

  • Casio FX-CG20 - page 87

    CASIO 2-41 8. Matrix Calculations F rom the Main Menu, enter the Run-Matrix mode, and press 3 ( ' MA T) to perform Matr ix calculations. 26 matrix memor ies (Mat A through Mat Z) plus a Matr ix Ans wer Memor y (MatAns), make it possible to perf or m the follo wing matr ix operations . • Addition, subtraction, m ultiplication, division • Sc ...

  • Casio FX-CG20 - page 88

    CASIO 2-42 u Creating a Matrix T o create a matrix, you must first define its dimensions (siz e) in the Matr ix Editor . Then you can input v alues into the matr ix. u T o specify the dimensions (size) of a matrix Example T o create a 2-row × 3-column matrix in the area named Mat B Highlight Mat B. c 3 (DIM) (This step can be omitted.) Specify the ...

  • Casio FX-CG20 - page 89

    CASIO 2-43 u Deleting Matrices Y ou can delete either a specific matr ix or all matrices in memor y . u T o delete a specific matrix 1. While the Matrix Editor is on the displa y , use f and c to highlight the matrix you want to delete. 2. Press 1 (DELETE). 3. Press 1 (Y es) to delete the matrix or 6 (No) to abor t the operation without deleting an ...

  • Casio FX-CG20 - page 90

    CASIO 2-44 u Row Calculations The f ollowing menu appears whene ver y ou press 1 (RO W-OP) while a recalled matrix is on the displa y . • { SW AP } ... {row s wap} • { Row } ... {product of specified row and scalar} • { Row + } ... {addition of one row and the product of a specified row with a scalar} • { Row+ } ... {addition of specified r ...

  • Casio FX-CG20 - page 91

    CASIO 2-45 u T o calculate the scalar multiplication of a row and add the result to another row Example T o calculate the product of row 2 and the scalar 4, then add the result to row 3 1 (RO W -OP) 3 ( Row+) Input multiplier v alue.* e w Specify number of ro w whose product should be calculated. c w Specify number of ro w where result should be ad ...

  • Casio FX-CG20 - page 92

    CASIO 2-46 u T o insert a row Example T o insert a new row between rows one and two 2 (RO W) c 2 (INSERT) u T o add a row Example T o add a new row below row 3 2 (RO W) cc 3 (ADD) u Column Operations • { DELETE } ... {delete column} • { INSERT } ... {inser t column} • { ADD } ... {add column} u T o delete a column Example T o delete column 2 ...

  • Casio FX-CG20 - page 93

    CASIO 2-47 k T ransferring Data between Matrices and CSV Files Y ou can impor t the contents of a CSV file stored with this calculator or transf erred from a computer into one of the matrix memor ies (Mat A through Mat Z, and MatAns). Y ou also can sav e the contents of one of the matr ix memor ies (Mat A through Mat Z, and MatAns) as a CSV file. u ...

  • Casio FX-CG20 - page 94

    CASIO 2-48 Important! • When saving matrix data to a CSV file, some data is con ver ted as described below . - Comple x number data: Only the real number par t is extr acted. - F raction data: Conv er ted to calculation line format (Example: 2 { 3 { 4 → =2+3/4) - ' and π data: Conv er ted to a decimal value (Example: ' 3 → 1.732050 ...

  • Casio FX-CG20 - page 95

    CASIO 2-49 u Matrix Data Input Format [OPTN] - [MA T] - [Mat] The f ollowing sho ws the format you should use when inputting data to create a matrix using the Mat command. = [ [a 11 , a 12 , ..., a 1 n ] [a 21 , a 22 , ..., a 2 n ] .... [a m 1 , a m 2 , ..., a mn ] ] → Mat [letter A through Z] Example T o input the following data as Matrix A: ! + ...

  • Casio FX-CG20 - page 96

    CASIO 2-50 u T o check the dimensions of a matrix [OPTN] - [MA T] - [Dim] Use the Dim command to check the dimensions of an e xisting matr ix. Example 1 T o check the dimensions of Matrix A K 2 (MA T) 6 ( g ) 2 (Dim) 6 ( g ) 1 (Mat) av (A) w The displa y shows that Matrix A consists of two rows and three columns . Since the result of the Dim comman ...

  • Casio FX-CG20 - page 97

    CASIO 2-51 Example 1 T o assign 10 to the cell at row 1, column 2 of the following matrix: Matrix A = 1 2 3 4 5 6 ba a K 2 (MA T) 1 (Mat) av (A) ! + (  ) b,c ! - (  ) w Example 2 Multiply the value in the cell at row 2, column 2 of the above matrix by 5 K 2 (MA T) 1 (Mat) av (A) ! + (  ) c,c ! - (  ) *f w u T o fill a matrix with identi ...

  • Casio FX-CG20 - page 98

    CASIO 2-52 u T o assign the contents of a matrix column to a list [OPTN] - [MA T] - [Mat → Lst] Use the f ollowing f or mat with the Mat → List command to specify a column and a list. Mat → List (Mat X, m ) → List n X = matr ix name (A through Z) m = column number n = list number Example T o assign the contents of column 2 of the following ...

  • Casio FX-CG20 - page 99

    CASIO 2-53 u Matrix Arithmetic Operations [OPTN] - [MA T] - [Mat]/[Identity] Example 1 T o add the following two matrices (Matrix A + Matrix B): K 2 (MA T) 1 (Mat) av (A) + 1 (Mat) al (B) w Example 2 T o multiply the two matrices in Example 1 (Matrix A × Matrix B) K 2 (MA T) 1 (Mat) av (A) * 1 (Mat) al (B) w • The two matrices must hav e the sam ...

  • Casio FX-CG20 - page 100

    CASIO 2-54 u Matrix T ransposition [OPTN] - [MA T] - [T rn] A matrix is transposed when its rows become columns and its columns become ro ws. Example T o transpose the following matrix: Matrix A = 1 2 3 4 5 6 K 2 (MA T) 4 (T r n) 1 (Mat) av (A) w u Row Echelon Form [OPTN] - [MA T] - [Ref] This command uses the Gaussian elimination algorithm to find ...

  • Casio FX-CG20 - page 101

    CASIO 2-55 u Reduced Row Echelon Form [OPTN] - [MA T] - [Rref] This command finds the reduced row echelon f or m of a matr ix. Example T o find the reduced row echelon form of the following matrix: Matrix A = K 2 (MA T) 6 ( g ) 5 (Rref) 6 ( g ) 1 (Mat) av (A) w • The row echelon f or m and reduced row echelon f or m operation ma y not produce acc ...

  • Casio FX-CG20 - page 102

    CASIO 2-56 u Squaring a Matrix [ x 2 ] Example T o square the following matrix: Matrix A = K 2 (MA T) 1 (Mat) av (A) xw u Raising a Matrix to a Power [^] Example T o raise the following matrix to the third power: Matrix A = K 2 (MA T) 1 (Mat) av (A) M d w • For matrix pow er calculations, calculation is possib le up to a power of 32766. u Determi ...

  • Casio FX-CG20 - page 103

    CASIO 2-57 u Complex Number Calculations with a Matrix Example T o determine the absolute value of a matrix with the following complex number elements: Matrix D = K 6 ( g ) 4 (NUMERIC) 1 (Abs) K 2 (MA T) 1 (Mat) as (D) w • The follo wing comple x number functions are suppor ted in matr ices. i , Abs, Arg, Conjg, ReP , ImP , ' a+b i , ' ...

  • Casio FX-CG20 - page 104

    CASIO 2-58 9. Metric Conversion Calculations Y ou can conv er t values from one unit of measurement to another . Measurement units are classified according to the f ollowing 11 categories. The indicators in the “Display Name” column show the te xt that appears in the calculator’ s function menu. Important! Metric conv ersion commands are supp ...

  • Casio FX-CG20 - page 105

    CASIO 2-59 k Performing a Unit Conversion Calculation [OPTN] - [CONVERT] Input the v alue you are con ver ting from and the conv ersion commands using the syntax shown below to perf or m a unit conv ersion calculation. {v alue conv er ting from}{conv ersion command 1} ' {conv ersion command 2} • Use {conv ersion command 1} to specify the uni ...

  • Casio FX-CG20 - page 106

    CASIO 2-60 k Unit Conversion Command List Cat. Display Name Unit Cat. Display Name Unit Length fm fermi V olume cm 3 cubic centimeter Å angstrom mL milliliter μ m micrometer L liter mm millimeter m 3 cubic meter cm centimeter in 3 cubic inch m meter ft 3 cubic f oot km kilometer fl_oz(UK) ounce AU astronomical unit fl_oz(US) fluid ounce (U .S .) ...

  • Casio FX-CG20 - page 107

    CASIO 2-61 Cat. Display Name Unit Cat. Display Name Unit T emperature °C deg rees Celsius Pressure Pa P ascal K K elvin kP a Kilo P ascal °F degrees F ahrenheit mmH 2 O millimeter of water °R deg rees Rankine mmHg millimeter of Mercur y V elocity m/s meter per second atm atmosphere km/h kilometer per hour inH 2 O inch of water knot knot inHg inc ...

  • Casio FX-CG20 - page 108

    CASIO 3-1 Chapter 3 Li s t F un c t io n A list is a storage place f or multiple data items . This calculator lets you store up to 26 lists in a single file , and you can store up to six files in memor y . Stored lists can be used in arithmetic and statistical calculations, and f or graphing. Element number Display range Cell Column List name Sub n ...

  • Casio FX-CG20 - page 109

    CASIO 3-2 2. Input the value 4 in the second cell, and then input the result of 2 + 3 in the ne xt cell. e w c+d w • Y ou can also input the result of an e xpression or a comple x number into a cell. • Y ou can input v alues up to 999 cells in a single list. u T o batch input a series of values 1. Use the cursor ke ys to mov e the highlighting ...

  • Casio FX-CG20 - page 110

    CASIO 3-3 2. Press K and input the expression. K 1 (LIST) 1 (List) b+ K 1 (LIST) 1 (List) c w • Y ou can also use ! b (List) in place of K 1 (LIST) 1 (List). k Editing List V alues u T o change a cell value Use the cursor ke ys to mov e the highlighting to the cell whose value y ou want to change. Input the new v alue and press w to replace the o ...

  • Casio FX-CG20 - page 111

    CASIO 3-4 u T o insert a new cell 1. Use the cursor ke ys to mov e the highlighting to the location where you w ant to inser t the new cell. 2. Press 6 ( g ) 5 (INSERT) to inser t a new cell, which contains a v alue of 0, causing e verything below it to be shifted down. • The cell inser t operation does not aff ect cells in other lists. If the da ...

  • Casio FX-CG20 - page 112

    CASIO 3-5 • The follo wing operation displa ys a sub name in the Run-Matrix mode. !m (SET UP) 2 (Line) J ! b (List) n ! + ( [ ) a ! - ( ] ) w ( n = list number from 1 to 26) • Though you can input up to 8 b ytes for the sub name , only the characters that can fit within the List Editor cell will be displa yed. • The List Editor SUB cell is no ...

  • Casio FX-CG20 - page 113

    CASIO 3-6 u T o change the color of all the data in a particular list 1. Use the cursor ke ys to mov e the highlighting to the list name of the list whose character color y ou want to change. • Be sure to select a list that already contains input data. Y ou will not be able to perf or m the ne xt step if you select a list that does not contain an ...

  • Casio FX-CG20 - page 114

    CASIO 3-7 u T o sort multiple lists Y ou can link multiple lists together f or a sor t so that all of their cells are rearranged in accordance with the sor ting of a base list. The base list is sor ted into either ascending order or descending order , while the cells of the linked lists are arranged so that the relativ e relationship of all the row ...

  • Casio FX-CG20 - page 115

    CASIO 3-8 k Accessing the List Data Manipulation Function Menu All of the f ollowing e xamples are perf or med after enter ing the Run-Matrix mode. Press K and then 1 (LIST) to displa y the list data manipulation menu, which contains the f ollowing items . • { List } / { Lst → Mat } / { Dim } / { Fill( } / { Seq } / { Min } / { Max } / { Mean } ...

  • Casio FX-CG20 - page 116

    CASIO 3-9 u T o create a list by specifying the number of data items [OPTN] - [LIST] - [Dim] Use the f ollowing procedure to specify the number of data in the assignment statement and create a list. <number of data n > a K 1 (LIST) 3 (Dim) 1 (List) <list number 1 - 26> w ( n = 1 - 999) Example T o create five data items (each of which c ...

  • Casio FX-CG20 - page 117

    CASIO 3-10 u T o find the minimum value in a list [OPTN] - [LIST] - [Min] K 1 (LIST) 6 ( g ) 1 (Min) 6 ( g ) 6 ( g ) 1 (List) <list number 1 - 26> ) w Example T o find the minimum value in List 1 (36, 16, 58, 46, 56) A K 1 (LIST) 6 ( g ) 1 (Min) 6 ( g ) 6 ( g ) 1 (List) b) w u T o find which of two lists contains the greatest value [OPTN] - [ ...

  • Casio FX-CG20 - page 118

    CASIO 3-11 Example T o calculate the median of values in List 1 (36, 16, 58, 46, 56), whose frequency is indicated by List 2 (75, 89, 98, 72, 67) A K 1 (LIST) 6 ( g ) 4 (Med) 6 ( g ) 6 ( g ) 1 (List) b, 1 (List) c) w u T o combine lists [OPTN] - [LIST] - [Augment] • Y ou can combine two diff erent lists into a single list. The result of a list co ...

  • Casio FX-CG20 - page 119

    CASIO 3-12 u T o calculate the cumulative frequency of each data item [OPTN] - [LIST] - [Cuml] K 1 (LIST) 6 ( g ) 6 ( g ) 3 (Cuml) 6 ( g ) 1 (List) <list number 1 - 26> w • The result of this operation is stored in ListAns Memory . Example T o calculate the cumulative frequency of each data item in List 1 (2, 3, 6, 5, 4) A K 1 (LIST) 6 ( g ...

  • Casio FX-CG20 - page 120

    CASIO 3-13 u T o calculate the differences between neighboring data inside a list [OPTN] - [LIST] - [ Δ List] K 1 (LIST) 6 ( g ) 6 ( g ) 5 ( Δ List) <list number 1 - 26> w • The result of this operation is stored in ListAns Memory . Example T o calculate the difference between the data items in List 1 (1, 3, 8, 5, 4) A K 1 (LIST) 6 ( g ) ...

  • Casio FX-CG20 - page 121

    CASIO 3-14 k Inputting a List into a Calculation There are three methods you can use to input a list into a calculation. • Specification of the list number of a list created with List Editor . • Specification of the sub name of a list created with List Editor . • Direct input of a list of values . u T o specify the list number of a list creat ...

  • Casio FX-CG20 - page 122

    CASIO 3-15 u T o assign the contents of one list to another list Use a to assign the contents of one list to another list. Example T o assign the contents of List 3 (41, 65, 22) to List 1 K 1 (LIST) 1 (List) d a 1 (List) b w In place of 1 (LIST) 1 (List) d operation in the abo ve procedure , you could input ! * ( { ) eb,gf,cc ! / ( } ). u T o recal ...

  • Casio FX-CG20 - page 123

    CASIO 3-16 k Graphing a Function Using a List When using the graphing functions of this calculator , you can input a function such as Y1 = List 1X. If List 1 contains the v alues 1, 2, 3, this function will produces three graphs: Y = X, Y = 2X, Y = 3X. There are cer tain limitations on using lists with graphing functions. k Inputting Scientific Cal ...

  • Casio FX-CG20 - page 124

    CASIO 3-17 k Performing Scientific Function Calculations Using a List Lists can be used just as numeric values are in scientific function calculations . When the calculation produces a list as a result, the list is stored in ListAns Memor y . Example T o use List 3 41 65 22 to perform sin (List 3) Use radians as the angle unit. s K 1 (LIST) 1 (List ...

  • Casio FX-CG20 - page 125

    CASIO 3-18 5. Using CSV Files Y ou can impor t the contents of a CSV file stored with this calculator or transf erred from a computer into the List Editor . Y ou also can sa ve the contents of all the list data in the List Editor as a CSV file. These operations are perf or med using the CSV function menu, which appears when you press 6 ( g ) 6 ( g ...

  • Casio FX-CG20 - page 126

    CASIO 3-19 4. On the select file dialog box that appears , use f and c to mov e the highlighting to the file you w ant to impor t and then press w . • This impor ts the contents of the CSV file you specified to the List Editor . • If you pressed 1 (LO AD) 1 (LIST) in step 3, impor t star ts from the row where the highlighted cell is located, ov ...

  • Casio FX-CG20 - page 127

    CASIO 3-20 u T o save the contents of all the list data in the List Editor as a single CSV file 1. While the List Editor is on the display , press 6 ( g ) 6 ( g ) 1 (CSV) to displa y the CSV function menu. 2. Press 2 (SA VE • AS). • This displays a f older selection screen. 3. Select the folder where y ou want to sa ve the CSV file . • T o st ...

  • Casio FX-CG20 - page 128

    CASIO 4-1 Chapter 4 Eq u a t io n C al c u l a t i o n s F rom the Main Menu, enter the Equation mode. • { SIMUL } ... {linear equation with 2 to 6 unknowns} • { POL Y } ... {degree 2 to 6 equation} • { SOL VER } ... {Solve calculation} 1. Simultaneous Linear Equations You can solve simultaneous linear equations with two to six unknowns. • ...

  • Casio FX-CG20 - page 129

    CASIO 4-2 Example To solve the following simultaneous linear equations for x , y , and z 4 x + y – 2 z = – 1 x + 6 y + 3 z = 1 – 5 x + 4 y + z = – 7 1 m Equation 2 1 (SIMUL) 2 (3) 3 e w b w- c w- b w b w g w d w b w - f w e w b w- h w 4 1 (SOLVE) • Internal calculations are performed using a 15-digit mantissa, but results are displayed us ...

  • Casio FX-CG20 - page 130

    CASIO 4-3 2. High-order Equations from 2nd to 6th Degree Your calculator can be used to solve high-order equations from 2nd to 6th degree. • Quadratic Equation: ax 2 + bx + c = 0 ( a  0) • Cubic Equation: ax 3 + bx 2 + cx + d = 0 ( a  0) • Quartic Equation: ax 4 + bx 3 + cx 2 + dx + e = 0 ( a  0) … 1. From the Main Menu, enter the ...

  • Casio FX-CG20 - page 131

    CASIO 4-4 Complex Number Solution (Example: x 3 + 2 x 2 + 3 x + 2 = 0) Comple x Mode: Real (page 1-33) Comple x Mode: a + b i Comple x Mode: r ∠ θ • Internal calculations are performed using a 15-digit mantissa, but results are displayed using a 10-digit mantissa and a 2-digit exponent. • It may take considerable time for the calculation res ...

  • Casio FX-CG20 - page 132

    CASIO 4-5 3. In the table of variables that appears on the display, input values for each variable. • You can also specify values for Upper and Lower to define the upper and lower limits of the range of solutions. • An error occurs if the solution falls outside the range you specify. 4. Select the variable for which you want to solve to obtain ...

  • Casio FX-CG20 - page 133

    CASIO 5-1 Chapter 5 Graphing Select the icon in the Main Menu that suits the type of graph you want to draw or the type of table you want to generate. • Graph … General function graphing • Run-Matrix … Manual graphing (pages 5-25 to 5-29) • Table … Number table generation (pages 5-30 to 5-35) • Dyna Graph … Dynamic graphing (pages 5 ...

  • Casio FX-CG20 - page 134

    CASIO 5-2 In the case of the Table mode, a number table is created in the same color as the line where its function is registered. Table relation list screen → Table screen • You can change the color used to draw the graph and the number table character color. For details, see “Changing Graph Properties” (page 5-15). k How to draw a simple ...

  • Casio FX-CG20 - page 135

    CASIO 5-3 k How to draw a simple graph (2) You can store up to 20 functions in memory and then select the one you want for graphing. 1. From the Main Menu, enter the Graph mode. 2. Specify the function type and input the function whose graph you want to draw. You can use the Graph mode to draw a graph for the following types of expressions: rectang ...

  • Casio FX-CG20 - page 136

    CASIO 5-4 2 (Union) .... Fills all areas where the conditions of the graphed inequalities are satisfied. • Pressing ! f (FORMAT) while the graph relation list screen or graph screen displays a dialog box that you can use to change the graph line style and graph line color. For details, see “Changing Graph Properties” (page 5-15). Example Inpu ...

  • Casio FX-CG20 - page 137

    CASIO 5-5 Polar coordinate parameter T θ min/T θ max ... Minimum/maximum T, θ values T θ ptch ... T, θ pitch 3. Press c to move the highlighting and input an appropriate value for each parameter, pressing w after each. • { INITIAL } / { TRIG } / { STANDRD } … V-Window {initial settings}/{initial settings using specified angle unit}/{standa ...

  • Casio FX-CG20 - page 138

    CASIO 5-6 u V-Window Setting Precautions • Inputting zero for T θ ptch causes an error. • Any illegal input (out of range value, negative sign without a value, etc.) causes an error. • When T θ max is less than T θ min, T θ ptch becomes negative. • You can input expressions (such as 2 π ) as V-Window parameters. • When the V-Window s ...

  • Casio FX-CG20 - page 139

    CASIO 5-7 u To recall V-Window memory settings 1. From the Main Menu, enter the Graph mode. 2. Press !3 (V-WIN) to display the V-Window setting screen. 3. Press 4 (V-MEM) 2 (RECALL) to display the pop-up window. 4. Press a number key to specify the V-Window memory number for the settings you want to recall, and then press w . Pressing b w recalls t ...

  • Casio FX-CG20 - page 140

    CASIO 5-8 k Zoom This function lets you enlarge and reduce the graph on the screen. 1. Draw the graph. 2. Specify the zoom type. !2 (ZOOM) 1 (BOX) ... Box zoom Dra w a bo x around a display area, and that area is enlarged to fill the entire screen. 2 (F ACT OR) ... F actor zoom Specifies the x -axis and y -axis zoom f actors for f actor zoom. 3 (IN ...

  • Casio FX-CG20 - page 141

    CASIO 5-9 Example Graph y = ( x + 5)( x + 4)( x + 3), and then perform a box zoom. Use the following V-Window settings. Xmin = –8, Xmax = 8, Xscale = 2 Ymin = –4, Ymax = 2, Yscale = 1 1 m Graph !3 (V -WIN) - i w i w c w c - e w c w b wJ 3 (TYPE) 1 (Y=) ( v +f)( v +e) ( v +d) w 6 (DRA W) 2 !2 (ZOOM) 1 (BO X) 3 d ~ d w 4 d ~ d , f ~ f w • You m ...

  • Casio FX-CG20 - page 142

    CASIO 5-10 u T o pan the screen 1. While the graph screen is on the display, press K 2 (PAN). • This enters the Pan mode and displays a pointer ( ) in the center of the screen. 2. Move the pointer to the location on the screen you want to grab and then press w . • This causes the pointer to change from to . 3. Use the cursor keys to shift the s ...

  • Casio FX-CG20 - page 143

    CASIO 5-11 5. When the “V-Window values for specified background will be loaded. OK?” confirmation dialog box appears, press 1 (YES) to apply the V-Window settings saved with the g3p file or 6 (NO) to retain the current V-Window settings. • Pressing 1 (YES) overwrites all V-Window setting values except T  min, T  max, and T  ptch wit ...

  • Casio FX-CG20 - page 144

    CASIO 5-12 6. On the File Name dialog box that appears, enter a name up to eight characters long and then press w . • This saves the background image under the name you specify. It also changes the image specified for the “Background” item on the Setup screen to the newly saved background image. k Adjusting the Lightness (Fade I/O) of the Bac ...

  • Casio FX-CG20 - page 145

    CASIO 5-13 3. Drawing a Graph You can store up to 20 functions in memory. Functions in memory can be edited, recalled, and graphed. k Specifying the Graph Type Before you can store a graph function in memory, you must first specify its graph type. 1. While the graph relation list is on the display, press 3 (TYPE) to display the graph type menu, whi ...

  • Casio FX-CG20 - page 146

    CASIO 5-14 u To store a parametric function Example To store the following expressions in memory areas Xt3 and Yt3: x = 3 sinT y = 3 cosT 3 (TYPE) 3 (Param) (Specifies parametric expression.) d svw (Inputs and stores x expression.) d cvw (Inputs and stores y expression.) u To create a composite function Example To use relations in Y1 and Y2 to crea ...

  • Casio FX-CG20 - page 147

    CASIO 5-15 u To assign values to the coefficients and variables of a graph function Example To assign the values −1, 0, and 1 to variable A in Y = AX 2 −1, and draw a graph for each value 3 (TYPE) 1 (Y=) av (A) vx -b w J 4 (GRAPH) 1 (Y) b( av (A) ! . (=) - b) w J 4 (GRAPH) 1 (Y) b( av (A) ! . (=) a) w J 4 (GRAPH) 1 (Y) b( av (A) ! . (=) b) w ff ...

  • Casio FX-CG20 - page 148

    CASIO 5-16 3. Use f and c to move the highlighting to “Line Style” and then press w . 4. On the list of line styles that appears, use f and c to move the highlighting to the desired style and then press w . • You also can select an option by pressing the number key that corresponds to the number to the left of the desired option. 5. Use f and ...

  • Casio FX-CG20 - page 149

    CASIO 5-17 u To change the line style of a graph function 1. On the graph relation list screen, use f and c to highlight the relation whose line style you want to change. 2. Press 4 (TOOL) 1 (STYLE). 3. Select the line style. Example To change the line style of y = 2 x 2 – 3, which is stored in area Y1, to “Broken” 4 (TOOL) 1 (STYLE) 3 ( ) (S ...

  • Casio FX-CG20 - page 150

    CASIO 5-18 u To delete a function 1. While the graph relation list is on the display, press f or c to move the highlighting to the area that contains the function you want to delete. 2. Press 2 (DELETE) or D . 3. Press 1 (Yes) to delete the function or 6 (No) to abort the procedure without deleting anything. • Using the above procedure to delete ...

  • Casio FX-CG20 - page 151

    CASIO 5-19 • Grid: Line (Axes: On, Label: Off) This setting causes scale lines to be displayed for the x - axis and y -axis. Changing the V-Window Xscale setting to 0 while “Line” is specified for the Grid setting will cause the horizontal lines to disappear from the display. Changing the V- Window Yscale setting to 0 will cause the vertical ...

  • Casio FX-CG20 - page 152

    CASIO 5-20 u To store graph functions in graph memory 1. Press 4 (TOOL) 2 (GPH-MEM) 1 (STORE) to display the pop-up window. 2. Press a number key to specify the graph memory where you want to save the graph function, and then press w . Pressing b w stores the graph function to Graph Memory 1 (G-Mem1). • There are 20 graph memories numbered G-Mem1 ...

  • Casio FX-CG20 - page 153

    CASIO 5-21 k Saving Graph Screen Contents as an Image (g3p File) There are two methods that can be used to save a g3p file. • Saving to Picture Memory This method lets you assign a number from 1 to 20 to an image when you save it. It stores the image in the storage memory’s PICT folder as a file with a name from Pict01.g3p through Pict20.g3p. ? ...

  • Casio FX-CG20 - page 154

    CASIO 5-22 • To store the image in a folder, use f and c to move the highlighting to the desired folder and then press 1 (OPEN). → 3. Press 1 (SAVE • AS). 4. On the File Name dialog box that appears, enter a name up to eight characters long and then press w . k Recalling an Image (g3p File) to a Graph Screen There are two methods that can be ...

  • Casio FX-CG20 - page 155

    CASIO 5-23 5. Drawing Two Graphs on the Same Screen k Copying the Graph to the Sub-screen Dual Graph lets you split the screen into two parts. Then you can graph two different functions in each for comparison, or draw a normal size graph on one side and its enlarged version on the other side. This makes Dual Graph a powerful graph analysis tool. Wi ...

  • Casio FX-CG20 - page 156

    CASIO 5-24 Pressing 1 (SELECT) while one of the functions marked “ R ” or “ B ” is highlighted would causes its “ R ” or “ B ” indicator to be cleared. A function without an indicator is drawn as the main screen graph (on the left side of the display). • The graph properties operation can be performed only for the graph that is on ...

  • Casio FX-CG20 - page 157

    CASIO 5-25 6. Manual Graphing k Rectangular Coordinate Graph Inputting the Graph command in the Run-Matrix mode enables drawing of rectangular coordinate graphs. 1. From the Main Menu, enter the Run-Matrix mode. 2. On the Setup screen, change “Input/Output” setting to “Linear”. 3. Configure V-Window settings. 4. Input the commands for drawi ...

  • Casio FX-CG20 - page 158

    CASIO 5-26 k Drawing Multiple Graphs on the Same Screen (Overwrite Graph) Use the following procedure to assign various values to a variable contained in an expression and overwrite the resulting graphs on the screen. 1. From the Main Menu, enter the Graph mode. 2. On the Setup screen, change the “Dual Screen” setting to “Off”. 3. Configure ...

  • Casio FX-CG20 - page 159

    CASIO 5-27 • You cannot change the line color or line style for graphs drawn using the above operation. • The value of only one of the variables in the expression can change. • Any of the following cannot be used for the variable name: X, Y, r , θ , T. • You cannot assign a variable to the variable inside the function. • When Simul Graph ...

  • Casio FX-CG20 - page 160

    CASIO 5-28 Example Register {3, 1, − 1} in List 1, and then graph y = (List 1) x 2 − 3. Use the following V-Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 1 m Statistics d w b w- b w 2 m Graph 3 !m (SET UP) cccc 3 (Off) J 4 !3 (V-WIN) - f w f w b w c - ba w ba w c wJ 5 3 (TYPE) 1 (Y=) ! b (List) b vx -d w ...

  • Casio FX-CG20 - page 161

    CASIO 5-29 u To graph a function using copy and paste 1. Copy the function you want to graph to the clipboard. 2. From the Main Menu, enter the Graph mode. 3. On the Setup screen, change the “Dual Screen” setting to “Off”. 4. Configure V-Window settings. 5. Draw the graph. 6. Paste the expression. Example While the graph of y = 2 x 2 + 3 x ...

  • Casio FX-CG20 - page 162

    CASIO 5-30 7. Using Tables From the Main Menu, enter the Table mode. k Storing a Function and Generating a Number Table u To store a function Example To store the function y = 3 x 2 – 2 in memory area Y1 Use f and c to move the highlighting in the table relation list to the memory area where you want to store the function. Next, input the functio ...

  • Casio FX-CG20 - page 163

    CASIO 5-31 u To generate a table using a list 1. While the table relation list is on the screen, display the Setup screen. 2. Highlight “Variable” and then press 2 (LIST) to display the pop-up window. 3. Select the list whose values you want to assign for the x -variable. • To select List 6, for example, press g w . This causes the setting of ...

  • Casio FX-CG20 - page 164

    CASIO 5-32 u To generate a differential number table Changing the setting of Setup screen’ s “Deriv ative” item to “On” causes a number table that includes the derivativ e to be displa yed whene v er you generate a n umber table . Locating the cursor at a differential coefficient displays “ dY/dX ” in the top line, which indicates dif ...

  • Casio FX-CG20 - page 165

    CASIO 5-33 k Copying a Table Column to a List A simple operation lets you copy the contents of a numeric table column into a list. Use d and e to move the cursor to the column you want to copy. The cursor can be in any row. u To copy a table to a list Example To copy the contents of Column x into List 1 K 1 (LISTMEM) Input the number of the list yo ...

  • Casio FX-CG20 - page 166

    CASIO 5-34 Example Store the two functions below, generate a number table, and then draw a line graph. Specify a range of –3 to 3, and an increment of 1. Y1 = 3 x 2 – 2, Y2 = x 2 Use the following V-Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –2, Ymax = 10, Yscale = 2 1 m Table 2 !3 (V-WIN) a w g w b w c - c w ba w c wJ 3 3 (TYPE) ...

  • Casio FX-CG20 - page 167

    CASIO 5-35 Example Store the function Y1 = 3 x 2 – 2 and simultaneously display its number table and line graph. Use a table range of –3 to 3 with an increment of 1. Use the following V-Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –2, Ymax = 10, Yscale = 2 1 m Table 2 !3 (V-WIN) a w g w b w c - c w ba w c wJ 3 !m (SET UP) ccc 1 (T+G ...

  • Casio FX-CG20 - page 168

    CASIO 5-36 8. Modifying a Graph A Modify function lets you modify the value of a variable in a graph expression (for example, the value of A in Y = AX 2 ) from the graph screen and view how the change affects the graph. k Modify Function Overview The Modify function can be used in the Graph mode and Conic Graphs mode. To execute the Modify function ...

  • Casio FX-CG20 - page 169

    CASIO 5-37 k Modify Function Operations u To modify a graph in the Graph mode 1. From the Main Menu, enter the Graph mode. 2. On the Setup screen, change the “Dual Screen” setting to “Off”. 3. Configure V-Window settings. 4. Specify the function type and enter a function that contains variables. • In addition to manual input, you also can ...

  • Casio FX-CG20 - page 170

    CASIO 5-38 9 - c w 0 J u To modify a graph in the Conic Graphs mode Example In the Conic Graphs mode, register the parametric equation X = H + T ; Y = K + AT 2 and the initial values A=2, H=0, K=0. Next, use the Modify function to change H to −1 and then change K to −1, and observe the changes in the graph. 1. From the Main Menu, enter the Coni ...

  • Casio FX-CG20 - page 171

    CASIO 5-39 7. Press c . Check to make sure that the K=0 line is magenta colored and then press d . 8. To exit the Modify operation, press J . k Copying a Graph Expression to the Graph Relation List while the Modify Function is Running You can use the following procedure to copy the expression (including its currently assigned coefficient values) us ...

  • Casio FX-CG20 - page 172

    CASIO 5-40 9. Dynamic Graphing k Using Dynamic Graph Dynamic Graph lets you define a range of values for the coefficients in a function, and then observe how a graph is affected by changes in the value of a coefficient. It helps to see how the coefficients and terms that make up a function influence the shape and position of a graph. 1. From the Ma ...

  • Casio FX-CG20 - page 173

    CASIO 5-41 Example Use Dynamic Graph to graph y = A ( x – 1) 2 – 1, in which the value of coefficient A changes from 2 through 5 in increments of 1. The graph is drawn 10 times. 1 m Dyna Graph 2 !3 (V-WIN) 1 (INITIAL) J 3 !m (SET UP) c 2 (Stop) J 4 5 (BUILT-IN) c 1 (SELECT) 5 ! f (FORMAT) b (Black) 6 4 (VAR) c w b w- b w 7 2 (SET) c w f w b wJ ...

  • Casio FX-CG20 - page 174

    CASIO 5-42 Example Use Dynamic Graph to graph y = A x , in which the value of coefficient A changes from 1 through 4 in increments of 1. The Graph is drawn 10 times. 1 m Dyna Graph 2 !3 (V-WIN) 1 (INITIAL) J 3 !m (SET UP) cc 1 (On) J 4 5 (BUILT-IN) 1 (SELECT) 5 4 (VAR) b w a w 6 2 (SET) b w e w b wJ 7 3 (SPEED) 3 ( ) J 8 6 (DYNA) k Graph Calculatio ...

  • Casio FX-CG20 - page 175

    CASIO 5-43 u To save data in Dynamic Graph memory 1. While a Dynamic Graph draw operation is being performed, press A to change to the speed adjustment menu. 2. Press 5 (STORE). In response to the confirmation dialog that appears, press 1 (Yes) to save the data. u To recall data from Dynamic Graph memory 1. Display the Dynamic Graph relation list. ...

  • Casio FX-CG20 - page 176

    CASIO 5-44 Example Generate a number table from recursion between three terms as expressed by a n +2 = a n +1 + a n , with initial terms of a 1 = 1, a 2 = 1 (Fibonacci sequence), as n changes in value from 1 to 6. 1 m Recursion 2 3 (TYPE) 3 ( a n +2 ) 3 4 ( n . a n ··) 3 ( a n +1 ) + 2 ( a n ) w 4 5 (SET) 2 ( a 1 ) b w g w b w b wJ 5 6 (TABLE) * ...

  • Casio FX-CG20 - page 177

    CASIO 5-45 1 m Recursion 2 !3 (V-WIN) a w g w b w c - bf w gf w f wJ 3 3 (TYPE) 2 ( a n +1 ) c 2 ( a n ) +b w 4 5 (SET) 2 ( a 1 ) b w g w b wJ 5 1 (SEL+S) f 2 ( ) J 6 6 (TABLE) 7 5 (GPH-CON) • You can change the graph line color and line style from the recursion formula screen and from the graph screen. To change from the recursion formula screen ...

  • Casio FX-CG20 - page 178

    CASIO 5-46 1 m Recursion 2 !3 (V-WIN) a w c w b w c a w e w b wJ 3 3 (TYPE) 2 ( a n +1 ) a.j 2 ( a n ) w 4 ( n . a n ··) 3 ( b n ) +a.b 1 ( n ) -a.c w 4 5 (SET) 2 ( a 1 ) b w ba w b w b wJ 5 6 (TABLE) 6 3 (PHASE) • The color used for phase plotting is the color assigned to the initial expression. When phase plotting from expression a n and expr ...

  • Casio FX-CG20 - page 179

    CASIO 5-47 • When “On” is selected “ Σ Display” on the Setup screen and all three of the expressions you input in the Recursion mode are selected for table creation, use the function menu that appears when you press 3 (PHASE) on the table screen to specify which two of the expressions you want to use, and to specify whether you want to u ...

  • Casio FX-CG20 - page 180

    CASIO 5-48 Example To draw the WEB graph for the recursion formula a n +1 = –3( a n ) 2 + 3 a n , b n +1 = 3 b n + 0.2, and check for divergence or convergence. Use the following table range: Start = 0, End = 6, a 0 = 0.01, a n Str = 0.01, b 0 = 0.11, b n Str = 0.11 1 m Recursion 2 !3 (V-WIN) a w b w b w c a w b w b wJ 3 3 (TYPE) 2 ( a n +1 ) - d ...

  • Casio FX-CG20 - page 181

    CASIO 5-49 3. Select the pattern of the function in accordance with the type of graph you want to draw. R w 4. Enter the coefficients of the function and draw the graph. Example To input the rectangular coordinate function x = 2 y 2 + y − 1 and graph a parabola open on the right, and then input the polar coordinate function r = 4cos θ and draw a ...

  • Casio FX-CG20 - page 182

    CASIO 5-50 12. Drawing Dots, Lines, and Text on the Graph Screen (Sketch) The sketch function lets you draw points and lines inside of graphs. You can select one of five different line styles and seven colors for drawing with the sketch function. u To draw dots, lines, and text on the graph screen 1. From the Main Menu, enter the Graph mode. 2. Con ...

  • Casio FX-CG20 - page 183

    CASIO 5-51 8. Use the cursor keys to move the pointer ( ) to the location where you want to draw, and press w .* 3 * 1 The above shows the function menu that appears in the Graph mode. Menu items may differ somewhat in other modes. * 2 In the case of an inverse function graph, drawing starts immediately after you select this option. The line style ...

  • Casio FX-CG20 - page 184

    CASIO 5-52 13. Function Analysis k Reading Coordinates on a Graph Line Trace lets you move a pointer along a graph and read out coordinates on the display. 1. From the Main Menu, enter the Graph mode. 2. Draw the graph. 3. Press !1 (TRACE), and a pointer appears in the center of the graph.* 1 4. Use d and e to move the pointer along the graph to th ...

  • Casio FX-CG20 - page 185

    CASIO 5-53 • Pressing w while the pointer is on a graph (during Trace, G-Solve, etc.) will place a dot at the pointer location along with a label which shows the coordinates at the dot location. Pressing aD removes the last dot and coordinate label that was created. • Dots created with the above operation will appear as  for coordinate value ...

  • Casio FX-CG20 - page 186

    CASIO 5-54 k Coordinate Rounding This function rounds off coordinate values displayed by Trace. 1. From the Main Menu, enter the Graph mode. 2. Draw the graph. 3. Press !2 (ZOOM) 6 ( g ) 3 (ROUND). This causes the V-Window settings to be changed automatically in accordance with the Rnd value. 4. Press !1 (TRACE), and then use the cursor keys to mov ...

  • Casio FX-CG20 - page 187

    CASIO 5-55 u To calculate the root of a graph 1. Draw a graph. 2. Press !5 (G-SOLVE) 1 (ROOT). 3. If there are multiple graphs on the graph screen, one of them will start flashing. Use f and c to move the flashing to the graph you want to analyze. 4. To select the flashing graph, press w . This displays the value produced by the analysis. Example G ...

  • Casio FX-CG20 - page 188

    CASIO 5-56 Example Graph the two functions shown below, and determine the point of intersection between Y1 and Y2. Y1 = x + 1, Y2 = x 2 • You can calculate the point of intersection for rectangular coordinate graphs (Y= f ( x ) type) and inequality graphs (Y > f ( x ), Y < f ( x ), Y ≥ f ( x ) or Y ≤ f ( x )) only. • Either of the fol ...

  • Casio FX-CG20 - page 189

    CASIO 5-57 u To calculate the integral value for a given range Use the following procedure to obtain integration values for a given range. 1. Draw the graph. 2. Press !5 (G-SOLVE) 6 ( g ) 3 ( ∫ d x ) 1 ( ∫ d x ). If there are multiple graphs on the graph screen, one of them will start flashing. 3. Use f and c to move the flashing to the graph y ...

  • Casio FX-CG20 - page 190

    CASIO 5-58 Example To graph Y = sin X, and then determine the graph integration value and area value for the region between the root of the minus value nearest the origin and the root of the plus value nearest the origin Integration value Area value • If there are 21 or more roots between the two roots you specify, an error will occur. • Integr ...

  • Casio FX-CG20 - page 191

    CASIO 5-59 k Conic Section Graph Analysis You can determine approximations of the following analytical results using conic section graphs. 1. From the Main Menu, enter the Conic Graphs mode. 2. Select the function type. 1 (RECT).... {rectangular coordinate} 2 (POL).... {polar coordinate} 3 (PARAM).... {parametric} 3. Use f and c to select the conic ...

  • Casio FX-CG20 - page 192

    CASIO 5-60 u To calculate the focus and length of latus rectum Example To determine the focus and length of latus rectum for the parabola X = (Y – 2) 2 + 3 Use the following V-Window settings. Xmin = –1, Xmax = 10, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 m Conic Graphs w b w c w d w6 (DRA W) !5 (G-SOL VE) 1 (FOCUS) (Calculates the f ocus.) ...

  • Casio FX-CG20 - page 193

    CASIO 5-61 u To calculate the center Example To determine the center for the circle (X + 2) 2 + (Y + 1) 2 = 2 2 m Conic Graphs cccc w - c w- b w c w6 (DRA W) !5 (G-SOL VE) 1 (CENTER) (Calculates the center .) ...

  • Casio FX-CG20 - page 194

    CASIO 6-1 Chapter 6 Statistical Graphs and Calculations Important! This chapter contains a number of gr aph screen shots. In each case, ne w data v alues were input in order to highlight the par ticular character istics of the graph being dr awn. Note that when you tr y to dra w a similar graph, the unit uses data v alues that you ha v e input usin ...

  • Casio FX-CG20 - page 195

    CASIO 6-2 k General Graph Settings [GRAPH]-[SET] This section describes how to use the general gr aph settings screen to make the f ollowing settings f or each graph (GRAPH1, GRAPH2, GRAPH3). • Graph T ype The initial def ault graph type setting f or all the graphs is scatter graph. Y ou can select one of a v ar iety of other statistical graph ty ...

  • Casio FX-CG20 - page 196

    CASIO 6-3 u T o display the general graph settings screen Pressing 1 (GRAPH) 6 (SET) displa ys the general gr aph settings screen. • StatGraph (statistical graph specification) • { GRAPH1 } / { GRAPH2 } / { GRAPH3 } ... graph {1}/{2}/{3} • Graph T ype (graph type specification) • { Scatter } / { xy Line } / { NPPlot } / { Pie } ... {scatter ...

  • Casio FX-CG20 - page 197

    CASIO 6-4 For this graph type: Selecting this: Causes this to happen: NPPlot, Pie, Bar On The color specified f or the list data is reflected in the graph. Off List data color specifications are ignored. Hist, Broken X&F req Colors specified f or both the XList and F requency data list are reflected in the graph. • When the same lines of the ...

  • Casio FX-CG20 - page 198

    CASIO 6-5 • { Auto } ... Cycles the color used f or graph dra wing in the f ollowing sequence f or each data item (or data pair): blue , red, green, magenta, blac k. Cycle is repeated after all five colors are used. F or some graphs , different par ts of the graph (points , lines, etc.) are automatically dra wn using diff erent colors. {A uto} ca ...

  • Casio FX-CG20 - page 199

    CASIO 6-6 When “Hist” (Histogram) is selected as the Graph T ype: • Hist Area (Specifies the fill color of a histogram.) Settings are the same as those for Pie Area. • Hist Border (Specifies the border line color of a histogram.) Settings are the same as those for Pie Border . • The Hist Border setting is alwa ys “Link” whenev er anyt ...

  • Casio FX-CG20 - page 200

    CASIO 6-7 • D1 Area, D2 Area, D3 Area (Specifies the fill colors of bar graphs Data 1, Data 2, and Data 3.) Settings are the same as those for Hist Area. • D1 Border , D2 Border , D3 Border (Specifies the border colors of bar graphs Data 1, Data 2, and Data 3.) Settings are the same as those for Hist Border . k Graph Draw/Non-draw Status [GRAPH ...

  • Casio FX-CG20 - page 201

    CASIO 6-8 2. Calculating and Graphing Single-V ariable Statistical Data Single-v ar iable data is data with only a single v ariable . If you are calculating the a verage height of the members of a class f or e xample, there is only one v ar iable (height). Single-v ar iable statistics include distribution and sum. The f ollowing types of gr aphs ar ...

  • Casio FX-CG20 - page 202

    CASIO 6-9 k Histogram XList specifies the list where the data is input, while F req specifies the list where the data frequency is input. 1 is specified f or F req when frequency is not specified. ⇒ w (Dra w) The displa y screen appears as shown abo ve bef ore the gr aph is drawn. At this point, you can change the Star t and Width values . k Med- ...

  • Casio FX-CG20 - page 203

    CASIO 6-10 k Bar Graph Y ou can specify up to three lists for dr awing a bar g raph. The graph is labeled [1], [2], [3], and so on, corresponding to lines 1, 2, 3, and so on of the list used f or the graph data. • Any of the f ollowing causes an error and cancels bar gr aph dra wing. - A Condition ERR OR occurs when drawing of m ultiple graphs is ...

  • Casio FX-CG20 - page 204

    CASIO 6-11 ⇒ w (Dra w) The displa y screen appears as shown abo ve bef ore the gr aph is drawn. At this point, you can change the Star t and Width values . k Displaying the Calculation Results of a Drawn Single-V ariable Graph Single-v ar iable statistics can be e xpressed as both graphs and parameter v alues. When these graphs are displa yed, th ...

  • Casio FX-CG20 - page 205

    CASIO 6-12 k Calculation Methods for the Std and OnData Settings Q1 and Q3 can be calculated in accordance with the Setup screen’ s “Q1Q3 T ype” setting as described below . u Std With this calculation method, processing depends on whether the number of elements n in the population is an e ven n umber or odd number . When the number of elemen ...

  • Casio FX-CG20 - page 206

    CASIO 6-13 Center P oint Center P oint u OnData The Q1 and Q3 v alues for this calculation method are described below . Q1 = {value of element whose cum ulative frequency r atio is greater than 1/4 and nearest to 1/4} Q3 = {value of element whose cum ulative frequency r atio is greater than 3/4 and nearest to 3/4} The f ollowing sho ws an actual ex ...

  • Casio FX-CG20 - page 207

    CASIO 6-14 3. Calculating and Graphing Paired-V ariable Statistical Data (Curve Fitting) k Drawing a Scatter Diagram and xy Line Graph The f ollowing procedure plots a scatter diagr am and connects the dots to produce an xy line graph. 1. F rom the Main Menu, enter the Statistics mode. 2. Input the data into a list. 3. Specify Scatter (scatter diag ...

  • Casio FX-CG20 - page 208

    CASIO 6-15 k Drawing a Regression Graph Use the f ollowing procedure to input paired-v ariable statistical data, perf or m a regression calculation using the data, and then graph the results . 1. F rom the Main Menu, enter the Statistics mode. 2. Input the data into a list, and plot the scatter diagr am. 3. Select the regression type , e xecute the ...

  • Casio FX-CG20 - page 209

    CASIO 6-16 k Displaying Regression Calculation Results Whene ver y ou perf or m a regression calculation, the regression f or mula parameter (such as a and b in the linear regression y = ax + b ) calculation results appear on the display . The regression f or mula parameter calculation results also appear as soon as y ou press 1 (CALC) and then a f ...

  • Casio FX-CG20 - page 210

    CASIO 6-17 Cubic regression Model f or mula ....... y = ax 3 + bx 2 + cx + d a .......... reg ression third coefficient b .......... reg ression second coefficient c .......... regression first coefficient d .......... reg ression constant ter m ( y -intercept) Quadratic regression Model f or mula ....... y = ax 2 + bx + c a .......... reg ression ...

  • Casio FX-CG20 - page 211

    CASIO 6-18 k Logarithmic Regression Graph Logarithmic regression e xpresses y as a logar ithmic function of x . The standard logar ithmic regression f or mula is y = a + b × In x , so if we sa y that X = In x , the f or mula corresponds to linear regression f or mula y = a + b X. 1 (CALC) 6 ( g ) 2 (Log) 6 (DRA W) The f ollowing is the logarithmic ...

  • Casio FX-CG20 - page 212

    CASIO 6-19 k Power Regression Graph P ower reg ression expresses y as a propor tion of the power of x . The standard power regression f or mula is y = a × x b , so if we tak e the logar ithm of both sides we get In y = In a + b × In x . Ne xt, if we sa y X = In x , Y = In y , and A = In a , the f or mula corresponds to linear regression f or mula ...

  • Casio FX-CG20 - page 213

    CASIO 6-20 k Logistic Regression Graph Logistic regression is best applied f or time-based phenomena in which there is a continual increase until a saturation point is reached. The f ollowing is the logistic regression model f or mula. 1 (CALC) 6 ( g ) 6 ( g ) 1 (Logistic) 6 (DRA W) • Cer tain types of data ma y take a long time to calculate. Thi ...

  • Casio FX-CG20 - page 214

    CASIO 6-21 k Displaying the Calculation Results of a Drawn Paired-V ariable Graph P aired-v ar iable statistics can be e xpressed as both graphs and parameter v alues. When these graphs are displa yed, the paired-v ariable calculation results appear as shown belo w when you press 1 (CALC) 1 (2-V AR). • Use c to scroll the list so you can vie w th ...

  • Casio FX-CG20 - page 215

    CASIO 6-22 4. Performing Statistical Calculations All of the statistical calculations up to this point were perf or med after displa ying a graph. The f ollowing procedures can be used to perf or m statistical calculations alone. u T o specify statistical calculation data lists Y ou hav e to input the statistical data f or the calculation you w ant ...

  • Casio FX-CG20 - page 216

    CASIO 6-23 k Paired-V ariable Statistical Calculations In the pre vious e xample under “Displa ying the Calculation Results of a Drawn P aired-V ariable Graph”, statistical calculation results were displa yed after the gr aph was dra wn. These were numeric e xpressions of the characteristics of variables used in the g raphic displa y . These v ...

  • Casio FX-CG20 - page 217

    CASIO 6-24 u Calculation of the Correlation Coefficient (r), Coefficient of Determination (r 2 ) and Mean Square Error (MSe) After the regression f or mula parameters on the reg ression calculation result screen, the f ollowing parameters also appear on the displa y . The parameters that appear depend on the regression f or mula. Correlation coeffi ...

  • Casio FX-CG20 - page 218

    CASIO 6-25 • P ower Regression .......................... • Sin Regression ............................... • Logistic Regression ........................ u Estimated V alue Calculation for Regression Graphs The Statistics mode also includes a Y -CAL function that uses regression to calculate the estimated y -v alue for a particular x -value a ...

  • Casio FX-CG20 - page 219

    CASIO 6-26 u Regression Formula Copy Function from a Regression Calculation Result Screen In addition to the nor mal regression f or mula cop y function that lets you cop y the regression calculation result screen after dra wing a statistical graph (such as Scatter Plot), the Statistics mode also has a function that lets you cop y the regression f ...

  • Casio FX-CG20 - page 220

    CASIO 6-27 k Normal Probability Distribution Calculation Y ou can calculate nor mal probability distr ibutions f or single-variable statistics with the Run-Matrix mode. Press K 6 ( g ) 3 (PROB) 6 ( g ) to display a function men u, which contains the follo wing items. • { P( } / { Q( } / { R( } ... obtains nor mal probability {P( t )}/{Q( t )}/{R( ...

  • Casio FX-CG20 - page 221

    CASIO 6-28 1. F rom the Main Menu, enter the Statistics mode. 2. Input the height data into List 1 and the frequency data into List 2. 3. P erf or m the single-variable statistical calculations . Y ou can obtain the nor malized v ariate immediately after perf or ming single-variable statistical calculations only . 2 (CALC) 6 (SET) 1 (LIST) b w c 2 ...

  • Casio FX-CG20 - page 222

    CASIO 6-29 k Drawing a Normal Probability Distribution Graph Y ou can draw a normal probability distribution graph using man ual graphing with the Run-Matrix mode. 1. F rom the Main Menu, enter the Run-Matrix mode. 2. Input the commands to draw a rectangular coordinate g raph. 3. Input the probability value . Example T o draw a normal probability P ...

  • Casio FX-CG20 - page 223

    CASIO 6-30 k Determining Sample Standard Deviation and Sample V ariance from List Data Y ou can use functions to deter mine sample standard deviation and sample v ar iance for specified list data. This calculation is performed in the Run-Matrix mode. Y ou can perf or m calculations using data you sa v ed to a list (List 1 to List 26) with the Stati ...

  • Casio FX-CG20 - page 224

    CASIO 6-31 k Calculations Using the TEST Command Y ou can use special functions in the Run-Matrix mode or Program mode to perform calculations that are the same as the Statistics mode Z T est, t T est, and other test calculations (page 6-32). Example T o determine the z score and p -value when a one-sample Z test is performed under the conditions b ...

  • Casio FX-CG20 - page 225

    CASIO 6-32 5. T ests The Z T est provides a v ar iety of diff erent standardization-based tests. They mak e it possible to test whether or not a sample accurately represents the population when the standard de viation of a population (such as the entire population of a countr y) is known from pre vious tests. Z testing is used f or mar ket research ...

  • Casio FX-CG20 - page 226

    CASIO 6-33 The f ollowing pages e xplain v ar ious statistical calculation methods based on the principles described abov e. Details concer ning statistical principles and ter minology can be found in an y standard statistics te xtbook. On the initial Statistics mode screen, press 3 (TEST) to displa y the test menu, which contains the f ollowing it ...

  • Casio FX-CG20 - page 227

    CASIO 6-34 u 1-Sample Z T est This test is used when the population standard de viation is known to test the h ypothesis. The 1-Sample Z T est is applied to the nor mal distr ibution. P erform the f ollowing ke y operations from the List Editor . 3 (TEST) 1 (Z) 1 (1-SAMPLE) The f ollowing sho ws the parameter data specification items that are diff ...

  • Casio FX-CG20 - page 228

    CASIO 6-35 The f ollowing sho ws the parameter data specification items that are diff erent from list data specification. Calculation Result Output Example μ 1 ≠ μ 2 ............ direction of test s x 1 ................ Displa yed only f or Data:List setting. s x 2 ................ Displa yed only f or Data:List setting. • [Sav e Res] does no ...

  • Casio FX-CG20 - page 229

    CASIO 6-36 u 2-Prop Z T est This test is used to compare the propor tion of successes. The 2-Prop Z T est is applied to the nor mal distribution. P erform the f ollowing ke y operation from the List Editor . 3 (TEST) 1 (Z) 4 (2-PROP) Calculation Result Output Example p 1 > p 2 ............ direction of test • [Sav e Res] does not sav e the p 1 ...

  • Casio FX-CG20 - page 230

    CASIO 6-37 u 1-Sample t T est This test uses the h ypothesis test f or a single unknown population mean when the population standard de viation is unknown. The 1-Sample t T est is applied to t distr ibution. P erform the f ollowing ke y operations from the List Editor . 3 (TEST) 2 (t) 1 (1-SAMPLE) The f ollowing sho ws the parameter data specificat ...

  • Casio FX-CG20 - page 231

    CASIO 6-38 The f ollowing sho ws the parameter data specification items that are diff erent from list data specification. Calculation Result Output Example μ 1 ≠ μ 2 ............ direction of test s p ................. Displa yed only when P ooled:On setting. • [Sav e Res] does not sav e the μ 1 condition in line 2. u LinearReg t T est Linea ...

  • Casio FX-CG20 - page 232

    CASIO 6-39 Pressing 6 (COPY) while a calculation result is on the displa y copies the regression f or mula to the graph relation list. When there is a list specified f or the [Resid List] item on the Setup screen, regression f or mula residual data is automatically sav ed to the specified list after the calculation is finished. • Y ou cannot dra ...

  • Casio FX-CG20 - page 233

    CASIO 6-40 Ne xt, specify the lists that contain the data. The f ollowing sho ws the meaning of the abov e items. Obser ved ...... name of list (1 to 26) that contains obser v ed counts (all cells positive integers) Expected ....... name of list (1 to 26) that is for sa ving e xpected frequency CNTRB ......... Specifies a list (List 1 to List 26) a ...

  • Casio FX-CG20 - page 234

    CASIO 6-41 • The matr ix must be at least two lines b y two columns . An error occurs if the matr ix has only one line or one column. • Pressing 1 (Mat) while the “Obser ved” and “Expected” parameter settings are highlighted will displa y the Matr ix (A to Z) setting screen. • Pressing 2 ( ' MA T) while setting parameters enters ...

  • Casio FX-CG20 - page 235

    CASIO 6-42 Y ou can use the follo wing graph analysis functions after dr awing a gr aph. • 1 (F) ... Displa ys F v alue. Pressing 1 (F) displa ys the F value at the bottom of the displa y , and displa ys the pointer at the corresponding location in the graph (unless the location is off the g raph screen). T wo points are displa y ed in the case o ...

  • Casio FX-CG20 - page 236

    CASIO 6-43 The f ollowing item appears in the case of T wo-W ay ANO V A only . F actor B ........ list to be used for category data (List 1 to 26) GphColor ...... specifies the graph line color (page 6-33) After setting all the parameters , use c to mov e the highlighting to “Ex ecute” and then press one of the function ke ys shown belo w to pe ...

  • Casio FX-CG20 - page 237

    CASIO 6-44 • Graphing is av ailable with T wo-W a y ANO V A only . V -Window settings are perf or med automatically , regardless of Setup screen settings. • Using the T race function automatically stores the number of conditions to v ar iable A and the mean v alue to variable M, respectiv ely . k ANOV A (T wo-W ay) u Description The nearby tab ...

  • Casio FX-CG20 - page 238

    CASIO 6-45 The abov e test indicates that the time diff erential is not significant, the temperature diff erential is significant, and interaction is highly significant. u Input Example u Results ...

  • Casio FX-CG20 - page 239

    CASIO 6-46 6. Confidence Interval A confidence inter val is a r ange (inter val) that includes a statistical v alue, usually the population mean. A confidence inter val that is too broad mak es it difficult to get an idea of where the population v alue (tr ue value) is located. A narrow confidence inter v al, on the other hand, limits the populatio ...

  • Casio FX-CG20 - page 240

    CASIO 6-47 u General Confidence Interval Precaution Inputting a v alue in the range of 0 < C-Le vel < 1 f or the C-Lev el setting sets a v alue you input. Inputting a v alue in the range of 1 < C-Le vel < 100 sets a v alue equiv alent to your input divided by 100. k Z Interval u 1-Sample Z Interval 1-Sample Z Interval calculates the con ...

  • Casio FX-CG20 - page 241

    CASIO 6-48 u 1-Prop Z Interval 1-Prop Z Interval uses the number of data to calculate the confidence interval f or an unknown propor tion of successes. P erform the f ollowing ke y operations from the List Editor . 4 (INTR) 1 (Z) 3 (1-PROP) Data is specified using parameter specification. Calculation Result Output Example u 2-Prop Z Interval 2-Prop ...

  • Casio FX-CG20 - page 242

    CASIO 6-49 The f ollowing sho ws the parameter data specification items that are diff erent from list data specification. Calculation Result Output Example u 2-Sample t Interval 2-Sample t Interval calculates the confidence inter val f or the difference betw een two population means when both population standard de viations are unknown. The t inter ...

  • Casio FX-CG20 - page 243

    CASIO 6-50 Normal probability density calculates the probability density of nor mal distribution from a specified x v alue. Normal cumulative distribution calculates the probability of nor mal distribution data f alling between two specific v alues. Inverse normal cumulative distribution calculates a v alue that represents the location within a nor ...

  • Casio FX-CG20 - page 244

    CASIO 6-51 • V -Window settings f or graph dra wing are set automatically when the Setup screen’ s “Stat Wind” setting is “A uto”. Current V -Window settings are used f or graph dr awing when the “Stat Wind” setting is “Manual”. • After drawing a g raph, you can use the P-CAL function to calculate an estimated p -v alue for a ...

  • Casio FX-CG20 - page 245

    CASIO 6-52 T ail:Left upper boundar y of integration inter val T ail:Right low er boundar y of integration inter val T ail:Central upper and low er boundaries of integration interval Specify the probability and use this f or mula to obtain the integration interval. • This calculator performs the abov e calculation using the f ollowing: ∞ = 1E99 ...

  • Casio FX-CG20 - page 246

    CASIO 6-53 k Student- t Distribution • Student- t Probability Density 5 (DIST) 2 (t) 1 (tpd) Student- t Probability Density calculates the probability density ( p ) f or a specified single x -v alue or a list. When a list is specified, calculation results f or each list element are displa yed in list f or m. Calculation Result Output Examples Whe ...

  • Casio FX-CG20 - page 247

    CASIO 6-54 • Inverse Student- t Cumulative Distribution 5 (DIST) 2 (t) 3 (Invt) Inv erse Student- t Cumulativ e Distribution calculates the low er bound value of a Student- t cumulativ e distribution f or a specified df (degrees of freedom) v alue. Calculation Result Output Examples When a list is specified When variable ( x ) is specified • Th ...

  • Casio FX-CG20 - page 248

    CASIO 6-55 •  2 Cumulative Distribution 5 (DIST) 3 (CHI) 2 (Ccd)  2 Cumulativ e Distribution calculates the cumulativ e probability of a  2 distribution between a lo wer bound and an upper bound. Calculation Result Output Examples When a list is specified Graph when variable ( x ) is specified • Graphing is suppor ted only when a varia ...

  • Casio FX-CG20 - page 249

    CASIO 6-56 k F Distribution • F Probability Density 5 (DIST) 4 (F) 1 (Fpd) F Probability Density calculates the F probability density ( p ) f or a specified single x -v alue or a list. When a list is specified, calculation results f or each list element are displa yed in list f or m. Calculation Result Output Examples When a list is specified Gra ...

  • Casio FX-CG20 - page 250

    CASIO 6-57 • Inverse F Cumulative Distribution 5 (DIST) 4 (F) 3 (InvF) Inv erse F Cumulativ e Distribution calculates the low er bound v alue of an F cumulativ e distribution probability f or specified n : df and d : df (degrees of freedom of numerator and denominator) v alues. Calculation Result Output Examples When a list is specified When vari ...

  • Casio FX-CG20 - page 251

    CASIO 6-58 • Binomial Cumulative Distribution 5 (DIST) 5 (BINOMIAL) 2 (Bcd) Binomial Cumulativ e Distribution deter mines the sum of probabilities (cumulativ e probability) that x , in the Binomial Probability p ( x ), will f all within a range specified from a Low er value to an Upper v alue. Calculation Result Output Examples When a list is spe ...

  • Casio FX-CG20 - page 252

    CASIO 6-59 Important! When e x ecuting the Inv erse Binomial Cumulativ e Distr ibution calculation, the calculator uses the specified Area v alue and the value that is one less than the Area v alue minimum number of significant digits ( ` Area v alue) to calculate minimum number of trials values . The results are assigned to system v ar iables x In ...

  • Casio FX-CG20 - page 253

    CASIO 6-60 • Poisson Cumulative Distribution 5 (DIST) 6 ( g ) 1 (POISSON) 2 (Pcd) P oisson Cumulativ e Distr ibution determines the sum of probabilities (cumulativ e probability) that x , in the P oisson Probability p ( x ), will f all within a range specified from a Low er value to an Upper v alue. Calculation Result Output Examples When a list ...

  • Casio FX-CG20 - page 254

    CASIO 6-61 Important! When e x ecuting the Inv erse P oisson Cumulative Distribution calculation, the calculator uses the specified Area v alue and the value that is one less than the Area v alue minimum number of significant digits ( ` Area v alue) to calculate minimum number of trials values . The results are assigned to system v ar iables x In v ...

  • Casio FX-CG20 - page 255

    CASIO 6-62 • Geometric Cumulative Distribution 5 (DIST) 6 ( g ) 2 (GEO) 2 (Gcd) Geometric Cumulative Distrib ution deter mines the sum of probabilities (cumulativ e probability) that x , in the Geometric Probability p ( x ), will f all within a range specified from a Low er value to an Upper v alue. Calculation Result Output Examples When a list ...

  • Casio FX-CG20 - page 256

    CASIO 6-63 Important! When e x ecuting the Inv erse Geometr ic Cumulativ e Distribution calculation, the calculator uses the specified Area v alue and the value that is one less than the Area v alue minimum number of significant digits ( ` Area v alue) to calculate minimum number of trials values . The results are assigned to system v ar iables x I ...

  • Casio FX-CG20 - page 257

    CASIO 6-64 Calculation Result Output Examples When a list is specified When variable ( x ) is specified • There is no graphing f or Hypergeometric Cumulative Distrib ution. • Inverse Hypergeometric Cumulative Distribution 5 (DIST) 6 ( g ) 3 (HYPRGEO) 3 (InvH) Inv erse Hypergeometr ic Cumulativ e Distr ibution calculates the minimum number of tr ...

  • Casio FX-CG20 - page 258

    CASIO 6-65 8. Input and Output T erms of T ests, Confidence Interval, and Distribution The f ollowing e xplains the input and output ter ms that are used by tests , confidence inter val, and distribution. k Input T erms Data ...................................data type  (1-Sample Z T est) ...........population mean v alue test conditions (“ ? ...

  • Casio FX-CG20 - page 259

    CASIO 6-66 F req ....................................frequency (1 or List 1 to 26) F req1 ..................................frequency of sample 1 (1 or List 1 to 26) F req2 ..................................frequency of sample 2 (1 or List 1 to 26) Ex ecute ..............................ex ecutes a calculation or draws a g raph o .................. ...

  • Casio FX-CG20 - page 260

    CASIO 6-67 k Output T erms z ......................................... z score p ......................................... p -v alue t .......................................... t score  2 ........................................  2 v alue F ........................................ F v alue p ˆ ..........................................estim ...

  • Casio FX-CG20 - page 261

    CASIO 6-68 9. Statistic Formula k T est T est 1-Sample Z T est z = ( o – μ 0 )/( σ / ' n ) 2-Sample Z T est z = ( o 1 – o 2 )/ ( σ / n 1 ) + ( σ / n 2 ) 2 1 2 2 1-Prop Z T est z = ( x / n – p 0 )/ p 0 (1 – p 0 )/ n 2-Prop Z T est z = ( x 1 / n 1 – x 2 / n 2 )/ p ˆ (1 – p ˆ )(1/ n 1 + 1/ n 2 ) 1-Sample t T est t = ( o – μ 0 ...

  • Casio FX-CG20 - page 262

    CASIO 6-69 k Confidence Interval Confidence Interval Lower : confidence inter val lo wer limit Upper : confidence inter val upper limit 1-Sample Z Inter val Lower , Upper = o + Z ( /2) · σ / ' n α 2-Sample Z Inter val Lower , Upper = ( o 1 – o 2 ) + Z ( /2) σ / n 1 + σ / n 2 2 1 2 2 α 1-Prop Z Inter val Lower , Upper = x / n + Z ( /2) ...

  • Casio FX-CG20 - page 263

    CASIO 6-70 k Distribution (Continuous) Distribution Probability Density Cumulative Distribution Nor mal Distribution πσ 2 p ( x ) = 1 e – 2 2 σ ( x – μ ) 2 μ ( > 0) σ p = p ( x ) dx Upper Lower ∫ Student- t Distribution p ( x ) = × Γ Γ × df π – df + 1 2 2 df 2 df + 1 df x 2 1 + χ 2 Distribution p ( x ) = × ( x  0) Γ 1 2 ...

  • Casio FX-CG20 - page 264

    CASIO 6-71 k Distribution (Discrete) Distribution Probability Binomial Distribution p ( x ) = n C x p x (1– p ) n – x ( x = 0, 1, ·······, n ) n : number of trials P oisson Distr ibution ( x = 0, 1, 2, ···) p ( x ) = x! e – λ λ × x λ : mean ( λ > 0) Geometric Distr ibution p ( x ) = p (1– p ) x – 1 ( x = 1, 2, 3, ···) ...

  • Casio FX-CG20 - page 265

    CASIO 7-1 Chapter 7 Financial Calculation Important! • Calculation results produced in this mode should be regarded as reference values only. • Whenever performing an actual financial transaction, be sure to check any calculation results obtained using this calculator with against the figures calculated by your financial institution. 1. Before ...

  • Casio FX-CG20 - page 266

    CASIO 7-2 k Setup Items indicates default setting. u Payment • { BEGIN }/{ END } … Specifies {beginning of the period}/{end of the period} payment u Date Mode • { 365 }/{ 360 } … Specifies calculation according to a {365-day}/{360-day} year u Periods/YR. (payment interval specification) • { Annual }/{ Semi } … {annual}/{semiannual} u Gr ...

  • Casio FX-CG20 - page 267

    CASIO 7-3 • Pressing !1 (TRACE) while a g raph is on the displa y activates T race, which can be used to look up other financial v alues. In the case of simple interest, f or e xample, pressing e displa ys PV , SI , and SFV . Pressing d displays the same v alues in rev erse sequence. • While the graph screen is displa yed, y ou can press ! f (F ...

  • Casio FX-CG20 - page 268

    CASIO 7-4 • An error occurs if parameters are not configured correctly. Use the following function menus to maneuver between calculation result screens. • { REPEAT } … {parameter input screen} • { GRAPH } … {draws graph} After drawing a graph, you can press !1 (TRACE) to turn on trace and read calculation results along the graph. Each pre ...

  • Casio FX-CG20 - page 269

    CASIO 7-5 u I % i (effective interest rate) i (eff ective interest r ate) is calculated using Newton’ s Method. PV + α × PMT + β × FV = 0 To I % from i (effective interest rate) n ............ number of compound periods FV ......... future value I % ......... annual interest rate P/Y ........ installment periods per year P V ......... present ...

  • Casio FX-CG20 - page 270

    CASIO 7-6 Important! Inputting V alues A period ( n ) is expressed as a positive value. Either the present value ( PV ) or future value ( FV ) is positive, while the other ( PV or FV ) is negative. Precision This calculator performs interest calculations using Newton’s Method, which produces approximate values whose precision can be affected by v ...

  • Casio FX-CG20 - page 271

    CASIO 7-7 4. Cash Flow (Investment Appraisal) This calculator uses the discounted cash flow (DCF) method to perform investment appraisal by totalling cash flow for a fixed period. This calculator can perform the following four types of investment appraisal. • Net present value ( NPV ) • Net future value ( NFV ) • Internal rate of return ( IRR ...

  • Casio FX-CG20 - page 272

    CASIO 7-8 u PBP n : smallest positive integer that satisfies the conditions NPV n < 0, NPV n +1 > 0, or 0 Press 3 (CASH) from the Financial 1 screen to display the following input screen for Cash Flow. 3 (CASH) I % ........ interest rate Csh ....... list to be used for cash flow data If you have not yet input data into a list, press 5 ( &apos ...

  • Casio FX-CG20 - page 273

    CASIO 7-9 5. Amortization This calculator can be used to calculate the principal and interest portion of a monthly installment, the remaining principal, and amount of principal and interest repaid up to any point. u Formula a : interest portion of installment PM1 ( INT ) b : principal portion of installment PM1 ( PRN ) c : balance of principal afte ...

  • Casio FX-CG20 - page 274

    CASIO 7-10 • “End” selected for the Setup screen Payment setting: BAL 0 = PV • “Begin” selected for the Setup screen Payment setting: INT 1 = 0 and PRN 1 = PMT u Converting between the nominal interest rate and effective interest rate The nominal interest rate ( I % value input by user) is converted to an effective interest rate ( I % & ...

  • Casio FX-CG20 - page 275

    CASIO 7-11 After configuring the parameters, use one of the function menus noted below to perform the corresponding calculation. • { BAL } … {balance of principal after installment PM2} • { INT } … {interest portion of installment PM1} • { PRN } … {principal portion of installment PM1} • { Σ INT } … {total interest paid from instal ...

  • Casio FX-CG20 - page 276

    CASIO 7-12 6. Interest Rate Conversion The procedures in this section describe how to convert between the annual percent rate and effective interest rate. u Formula APR : annual percent r ate (%) EFF : eff ective interest r ate (%) n : number of compoundings Press 5 (CONVERT) from the Financial 1 screen to display the following input screen for int ...

  • Casio FX-CG20 - page 277

    CASIO 7-13 7. Cost, Selling Price, Margin Cost, selling price, or margin can be calculated by inputting the other two values. u Formula CST : cost SEL : selling price MRG : margin Press 1 (COST) from the Financial 2 screen to display the following input screen. 6 ( g ) 1 (COST) Cst......... cost Sel ......... selling price Mrg ........ margin After ...

  • Casio FX-CG20 - page 278

    CASIO 7-14 8. Day/Date Calculations You can calculate the number of days between two dates, or you can determine what date comes a specific number of days before or after another date. Press 2 (DAYS) from the Financial 2 screen to display the following input screen for day/date calculation. 6 ( g ) 2 (D A YS) d1 .......... date 1 d2 .......... date ...

  • Casio FX-CG20 - page 279

    CASIO 7-15 • 360-day Date Mode Calculations The following describes how calculations are processed when 360 is specified for the Date Mode item in the Setup screen. • If d1 and d2 are both the last day of February (day 28 in a normal year, day 29 in a leap year), d2 is treated as day 30. • If d1 is the last day of February, d1 is treated as d ...

  • Casio FX-CG20 - page 280

    CASIO 7-16 u Sum-of-the-Years’-Digits Method (SYD) SYD j : depreciation charge for the j th year RDV j : remaining depreciable v alue at the end of j th y ear u Declining-Balance Method (DB) DB j : depreciation charge for the j th year RDV j : remaining depreciable v alue at the end of j th y ear I % : depreciation factor Press 3 (DEPREC) from th ...

  • Casio FX-CG20 - page 281

    CASIO 7-17 After configuring the parameters, use one of the function menus noted below to perform the corresponding calculation. • { SL } … {Calculate depreciation for year j using the straight-line method} • { FP } ... { FP } .... {Calculate depreciation for year j using the fixed-percent method} { I% } .....{Calculate depreciation ratio} ? ...

  • Casio FX-CG20 - page 282

    CASIO 7-18 PRC : price per $100 of face value CPN : coupon rate (%) YLD : annual yield (%) A : accrued days M : number of coupon payments per year (1=annual, 2=semi annual) N : number of coupon payments between settlement date and maturity date RDV : redemption price or call price per $100 of face value D : number of days in coupon period where set ...

  • Casio FX-CG20 - page 283

    CASIO 7-19 d1 .......... purchase date (month, date, year) d2 .......... redemption date (month, date, year) RDV ...... redemption price per $100 of face value CPN ...... coupon rate PRC ...... price per $100 of face value YLD ...... annual yield • The allowable calculation range is January 1, 1902 to December 31, 2097. After configuring the para ...

  • Casio FX-CG20 - page 284

    CASIO 7-20 • Each press of w while the MEMO screen is displayed cycles the Coupon Payment Day (CPD) display sequentially from the redemption year up to the purchase year. This is true only when the “Date Mode” setting on the Setup screen is “365”. 11. Financial Calculations Using Functions You can use special functions in the Run-Matrix m ...

  • Casio FX-CG20 - page 285

    CASIO 8-1 Chapter 8 P rogramming Important! Input in the Program mode is always performed using the Linear input/output mode. 1. Basic Programming Steps Commands and calculations are e x ecuted sequentially . 1. F rom the Main Menu, enter the Program mode. When you do , a program list appears on the displa y . Selected program area (use f and c to ...

  • Casio FX-CG20 - page 286

    CASIO 8-2 1 m Program 2 3 (NEW) j (O) I (C) / (T) v (A) w 3 ! J (PRGM) 4 (?) a av (A) 6 ( g ) 5 (:) c* !x ( ' ) d* av (A) x6 ( g ) 6 ( g ) 5 ( ^ ) !x ( ' ) c/d* av (A) M d JJ 4 1 (EXE) or w h w (V alue of A) S when A = 7 w V when A = 7 ww ba w S when A = 10 w V when A = 10 ww bf w S when A = 15 w * 1 V when A = 15 * 1 Pressing w while the ...

  • Casio FX-CG20 - page 287

    CASIO 8-3 u When you are registering a file name • { RUN } / { BASE } ... {general calculation}/{n umber base} program input • { } ... {password registr ation} • { SYMBOL } ... {symbol menu} u When you are inputting a program —— 1 (RUN) … def ault • { TOP } / { BOTTOM } ... {top}/{bottom} of program • { SEARCH } ... {search} • { M ...

  • Casio FX-CG20 - page 288

    CASIO 8-4 u When you are inputting a program —— 2 (BASE) * * Programs input after pressing 2 (BASE) are indicated b y B to the right of the file name. • { TOP } / { BOTTOM } / { SEARCH } • { MENU } • { d~o } ... {decimal}/{he xadecimal}/{binar y}/{octal} value input • { LOGIC } ... {bitwise operator} • { DISPLA Y } ... conv ersion of ...

  • Casio FX-CG20 - page 289

    CASIO 8-5 • Note that pressing J does not display the location of the error if the prog ram is pass word protected. u T o eliminate bugs that cause bad results If your prog ram produces results that are not what y ou nor mally expect, chec k the contents of the program and mak e necessar y changes. 1 (T OP) ........... Mov es the cursor to the to ...

  • Casio FX-CG20 - page 290

    CASIO 8-6 • Y ou cannot specify the ne wline symbol ( _ ) or display command ( ^ ) for the search data. • Once the contents of the program are on the screen, y ou can use the cursor ke ys to mov e the cursor to another location bef ore searching f or the next instance of the data. Only the par t of the program star ting from the current cursor ...

  • Casio FX-CG20 - page 291

    CASIO 8-7 k Searching for a File u T o find a file using initial character search Example T o use initial character search to recall the program named OCT A 1. While the program list is on the displa y , press 6 ( g ) 1 (SEARCH) and input the initial characters of the file y ou want to find. 6 ( g ) 1 (SEARCH) j (O) I (C) / (T) 2. Press w to search ...

  • Casio FX-CG20 - page 292

    CASIO 8-8 u Program and Text File Conversion Rules Conversion of program and text files is subject to the following rules. • Certain characters in the program name are automatically replaced and the result is assigned as the file name whenever you convert a program to a text file. When you convert from a text file to a program, the program name i ...

  • Casio FX-CG20 - page 293

    CASIO 8-9 Important! A program that is password protected cannot be converted to a text file. To convert a password protected file, first use the procedure under “To remove password protection from a program” (page 8-10) to remove password protection and then convert it. u Auto Conversion from Text Files to Programs Whenever you terminate the U ...

  • Casio FX-CG20 - page 294

    CASIO 8-10 k Registering a password When inputting a program, y ou can protect it with a pass word that limits access to the progr am contents to those who know the pass word. • Y ou do not need to input the pass word to run a program. • The passw ord input procedure is identical to that used for file name input. u To password protect a program ...

  • Casio FX-CG20 - page 295

    CASIO 8-11 k Recalling a Password Protected Program 1. In the program list, use f and c to mov e the highlighting to the name of the program you w ant to recall. 2. Press 2 (EDIT). 3. Input the passw ord and press w to recall the program. • Inputting the wrong passw ord when recalling a passw ord protected program causes the message “Mismatch? ...

  • Casio FX-CG20 - page 296

    CASIO 8-12 The f ollowing are con ventions that are used in this section when describing the v ar ious commands. {Curly Brack ets} ........... Cur ly brack ets are used to enclose a number of items , one of which must be selected when using a command. Do not input the cur ly brac kets when inputting a command. [Square Brac kets] ........ Square bra ...

  • Casio FX-CG20 - page 297

    CASIO 8-13 : ( Multi-statement Command) Function: Connects two statements f or sequential e x ecution without stopping. Description: • Unlike the output command ( ^ ), statements connected with the multi-statement command are e x ecuted non-stop. • The multi-statement command can be used to link two calculation e xpressions or two commands. • ...

  • Casio FX-CG20 - page 298

    CASIO 8-14 Parameters: condition, numeric e xpression Description: (1) If ~ Then ~ IfEnd • When the condition is tr ue, e x ecution proceeds with the Then-statement and then continues with the statement f ollowing IfEnd. • When the condition is false , ex ecution jumps to the statement follo wing IfEnd. (2) If ~ Then ~ Else ~ IfEnd • When the ...

  • Casio FX-CG20 - page 299

    CASIO 8-15 Parameters: e xpression Description: • This command repeats the commands contained in the loop as long as its condition is tr ue (non-zero). When the condition becomes false (0), e xecution proceeds from the statement f ollowing the LpWhile-statement. • Since the condition comes after the LpWhile-statement, the condition is tested (c ...

  • Casio FX-CG20 - page 300

    CASIO 8-16 Prog Function: This command specifies ex ecution of another program as a subroutine. In the Run-Matrix mode, this command e xecutes a ne w program. Syntax: Prog "file name" Example: Prog "ABC" Description: • Even when this command is located inside of a loop , its ex ecution immediately breaks the loop and launches ...

  • Casio FX-CG20 - page 301

    CASIO 8-17 Stop Function: This command ter minates ex ecution of a program. Syntax: Stop Description: • This command ter minates program e x ecution. • Execution of this command inside of a loop terminates program e xecution without an error being generated. k Jump Commands (JUMP) Dsz (Count Jump) Function: This command is a count jump that dec ...

  • Casio FX-CG20 - page 302

    CASIO 8-18 Isz (Count Jump) Function: This command is a count jump that increments the value of a control v ariable b y 1, and then jumps if the current v alue of the variable is z ero . Syntax: V ar iable V alue ≠ 0 Isz <v ar iable name> : <statement> _ : ^ <statement> V ar iable V alue = 0 Parameters: v ar iable name: A to Z, ...

  • Casio FX-CG20 - page 303

    CASIO 8-19 Menu Function: Creates a branching menu in a prog ram. Syntax: Menu "<string (menu name)>", "<string (branch name) 1>", <v alue or variable 1>, "<string (branch name) 2>" ,<value or v ar iable 2>, ... , "<str ing (branch name) n >", <v alue or v ar iable n > ...

  • Casio FX-CG20 - page 304

    CASIO 8-20 ClrMat Function: This command deletes matr ix data. Syntax: ClrMat <matr ix name> ClrMat Parameters: matrix name: A to Z, Ans Description: This command deletes the data in the matr ix specified by “matr ix name”. All matrix data is deleted if nothing is specified for “matr ix name”. ClrT ext Function: This command clears th ...

  • Casio FX-CG20 - page 305

    CASIO 8-21 DrawGraph No parameters Function: This command draws a g raph. Description: This command draws a g raph in accordance with the dra wing conditions defined within the program. DrawR-Con, DrawR-Plt No parameters Function: These commands graph recursion e xpressions, with a n ( b n or c n ) as the v er tical axis and n as the horizontal axi ...

  • Casio FX-CG20 - page 306

    CASIO 8-22 PlotPhase Function: Graphs a phase plot based on numeric sequences that correspond to the x -axis and y -axis. Syntax: PlotPhase < x -axis numeric sequence name>, < y -axis numeric sequence name> Description: • Only the follo wing commands can be input f or each argument to specify the recursion table . a n , b n , c n , a ...

  • Casio FX-CG20 - page 307

    CASIO 8-23 Locate Function: This command displays alpha-n umer ic characters at a specific location on the te xt screen. Syntax: Locate <column number>, <line number>, <v alue> Locate <column n umber>, <line number>, <numeric e xpression> Locate <column n umber>, <line number>, "<string>&qu ...

  • Casio FX-CG20 - page 308

    CASIO 8-24 Receive( / Send( Function: This command receives data from and sends data to a connected de vice. Syntax: Receiv e(<data>) / Send(<data>) Description: • This command receives data from and sends data to a connected de vice. • The follo wing types of data can be received (sent) b y this command. • Individual v alues assi ...

  • Casio FX-CG20 - page 309

    CASIO 8-25 k Stri ngs A string is a ser ies of characters enclosed in doub le quotes. In a program, strings are used to specify displa y te xt. A str ing made up of numbers (like "123") or an e xpression (like " x –1") cannot be processed as a calculation. T o displa y a str ing at a specific location on the screen, use the Lo ...

  • Casio FX-CG20 - page 310

    CASIO 8-26 Strlnv( Function: Inv er ts the sequence of a str ing. Syntax: StrInv("<string>"[)] StrJoin( Function: Joins “<str ing 1>” and “<string 2>”. Syntax: StrJoin("<string 1>", "<str ing 2>"[)] Note: The same result also can be achiev ed using the “+” command (page 8-27). ...

  • Casio FX-CG20 - page 311

    CASIO 8-27 StrRotate( Function: Rotates the left side par t and r ight side par t of a string at the n th character . Syntax: StrRotate("<string>", [, n )] (–9999 < n < 9999, n is an integer) Description: Rotation is to the left when “ n ” is positive, and to the right when “ n ” is negative. Omitting “ n ” uses ...

  • Casio FX-CG20 - page 312

    CASIO 8-28 6. Using Calculator Functions in Programs k Using Color Commands in a Program Color commands let you specify colors for on-screen lines, text, and other display elements. The following color commands are supported. RUN Mode: Black, Blue, Red, Magenta, Green, Cyan, Yellow, ColorAuto, ColorClr BASE Mode: Black, Blue, Red, Magenta, Green, C ...

  • Casio FX-CG20 - page 313

    CASIO 8-29 - The following commands can also be used together with color commands. Refer to the pages noted in parentheses for more information. "<text>" (“Text Display”, page 8-30), Locate (page 8-23), SetG-Color (page 8-32), Plot/ Line-Color (page 8-32) • Color commands also can be used when drawing graphs using Graph mode o ...

  • Casio FX-CG20 - page 314

    CASIO 8-30 k Te x t D i s p l a y Y ou can include text in a prog ram b y simply enclosing it between double quotation marks. Such te xt appears on the displa y dur ing program e xecution, which means y ou can add labels to input prompts and results. Program Display "CASIO" CASIO ? → X ? "X =" ? → X X = ? • The example bel ...

  • Casio FX-CG20 - page 315

    CASIO 8-31 Ex ecuting this program produces the f ollowing result. u T o c a lc ul at e a sc al a r mu lt ip li c at ion ( ` Row) Example 2 T o calculate the product of Row 2 of the matrix in Example 1 and the scalar 4 The f ollowing is the syntax to use f or this program. ` Row 4, A, 2 _ Row Matrix name Multiplier Mat A u T o c al cu la t e a sc a ...

  • Casio FX-CG20 - page 316

    CASIO 8-32 k Using Gra ph Funct io ns in a Prog ra m Y ou can incor porate graph functions into a prog ram to dra w complex g raphs and to ov erlay graphs on top of each other . The follo wing shows v arious types of syntax you need to use when programming with g raph functions. • V -Window View Window –5, 5, 1, –5, 5, 1 _ • Graph Color Set ...

  • Casio FX-CG20 - page 317

    CASIO 8-33 SketchThic k <Sketch or Gr aph statement> SketchBrok en <Sketch or Gr aph statement> SketchDot <Sk etch or Graph statement> SketchNormal <Sketch or Gr aph statement> SketchThin <Sk etch or Graph statement> T angent <function>, <X-coordinate> Nor mal <function>, <X-coordinate> In verse ...

  • Casio FX-CG20 - page 318

    CASIO 8-34 k Using T a bl e & Gr ap h Functi ons in a Pro gra m T able & Gr aph functions in a program can gener ate numeric tables and perf or m graphing operations . The f ollowing shows v ar ious types of syntax you need to use when progr amming with T able & Graph functions . • T able range setting • Graph dra w operation 1 → ...

  • Casio FX-CG20 - page 319

    CASIO 8-35 k Using List So r t Funct ion s in a Progr am These functions let you sort data in lists into ascending or descending order . • Ascending order Sor tA (List 1, List 2, List 3) Lists to be sorted (up to six can be specified) • Descending order Sor tD (List 1, List 2, List 3) Lists to be sorted (up to six can be specified) k Using S ta ...

  • Casio FX-CG20 - page 320

    CASIO 8-36 When “MedBox” is specified for the Graph Type: • Outliers On/Off setting • Box color setting (one of the seven colors*) • Whisker color setting (one of the seven colors*) • Outliers color setting (one of the seven colors*) • Box inside color setting (one of the seven colors* or ColorAuto) • Box inside paint setting (Color ...

  • Casio FX-CG20 - page 321

    CASIO 8-37 • The follo wing is a typical graph condition specification f or a regression graph. S-Gph1 DrawOn, Linear , List 1, List 2, List 3, Blue The same format can be used for the f ollowing types of graphs , by simply replacing “Linear” in the abov e specification with the applicab le graph type. Linear Regression .......... Linear Loga ...

  • Casio FX-CG20 - page 322

    CASIO 8-38 k Using Dist rib utio n Gr ap hs in a Prog ram Special commands are used to dra w distr ibution g raphs in a progr am. • T o d raw a n or ma l cu mul at ive d is t rib ut io n g ra p h Dra wDistNor m <Lower>, <Upper> [, σ ,  ] Population mean * 1 Population standard deviation * 1 Data upper limit Data lower limit * 1 Th ...

  • Casio FX-CG20 - page 323

    CASIO 8-39 • T o d raw a  2 cum ul at ive d is t rib ut io n g ra p h Dra wDistChi <Lower>, <Upper>, < df > Degree of freedom Data upper limit Data lower limit • Executing Dr awDistChi perf or ms the abov e calculation in accordance with the specified conditions and dra ws the graph. At this time the Lower < x < Upper ...

  • Casio FX-CG20 - page 324

    CASIO 8-40 k Per fo rming St atist ica l Calc ulatio ns in a Progr am • Single-variable statistical calculation 1-V ar iable List1, List 2 Frequency data (Frequency) x -axis data (XList) • P aired-variable statistical calculation 2-V ar iable List 1, List 2, List 3 Frequency data (Frequency) y -axis data (YList) x -axis data (XList) • Regress ...

  • Casio FX-CG20 - page 325

    CASIO 8-41 • Logistic regression statistical calculation LogisticReg List 1 , List 2 y -axis data (YList) x -axis data (XList) k Performing Distribution Calculations in a Program • The follo wing values are substituted whene ver an y of the arguments enclosed in brack ets ([ ]) are omitted. σ =1,  =0, tail=L (Left) • For the calculation f ...

  • Casio FX-CG20 - page 326

    CASIO 8-42 • St ud e nt- t Distribution tPD(: Retur ns the Student- t probability density ( p v alue) for the specified data. Syntax: tPD( x , df [)] • A single value or a list can be specified f or x . Calculation result p is assigned to v ar iables p and Ans (ListAns when x is a list). tCD(: Retur ns the Student- t cumulativ e distribution ( ...

  • Casio FX-CG20 - page 327

    CASIO 8-43 • F Distr ibution FPD(: Retur ns the F probability density ( p v alue) for the specified data. Syntax: FPD( x , ndf , ddf [)] • A single value or a list can be specified f or x . Calculation result p is assigned to v ar iables p and Ans (ListAns when x is a list). FCD(: Retur ns the F cumulativ e distribution ( p v alue) f or the spe ...

  • Casio FX-CG20 - page 328

    CASIO 8-44 • Pois so n D i st rib u ti on PoissonPD(: Retur ns the P oisson probability ( p value) f or the specified data. Syntax: P oissonPD( x ,  [)] • A single value or a list can be specified f or x . Calculation result p is assigned to v ar iables p and Ans (ListAns when x is a list). PoissonCD(: Retur ns the P oisson cumulative distri ...

  • Casio FX-CG20 - page 329

    CASIO 8-45 • H ypergeometri c Distri bution HypergeoPD(: Retur ns the h ypergeometr ic probability ( p v alue) for the specified data. Syntax: HypergeoPD( x , n , M, N[)] • A single value or a list can be specified f or x . Calculation result p is assigned to v ar iables p and Ans (ListAns when x is a list). HypergeoCD(: Retur ns the h ypergeom ...

  • Casio FX-CG20 - page 330

    CASIO 8-46 T woSample Z T est: Ex ecutes 2-sample Z -test calculation. Syntax: T woSample Z T est "  1 condition", σ 1 , σ 2 , o 1 , n 1 , o 2 , n 2 Output V alues: z , p , o 1 , o 2 , n 1 , n 2 are assigned respectiv ely to variables z , p , o 1 , o 2 , n 1 , n 2 and to ListAns elements 1 through 6. Syntax: T woSample Z T est " ...

  • Casio FX-CG20 - page 331

    CASIO 8-47 •  2 Te s t ChiGOFT est: Ex ecutes a chi-square goodness of fit test. Syntax: ChiGOFT est List 1, List 2, df, List 3 (List 1 is the Observed list, List 2 is the Expected list, and List 3 is the CNTRB list.) Output V alues:  2 , p , df are assigned respectiv ely to the variab les with the same names and to ListAns elements 1 throu ...

  • Casio FX-CG20 - page 332

    CASIO 8-48 Output V alues: Adf , Ass, Ams, AF , Ap, Bdf , Bss, Bms, BF , Bp , ABdf, ABss , ABms, ABF , ABp , ERRdf , ERRss, ERRms are assigned respectiv ely to variab les Adf, SSa, MSa, F a, pa, Bdf, SSb , MSb , Fb , pb , ABdf, SSab , MSab , F ab , pab, Edf , SSe, MSe . Also , output v alues are assigned to MatAns as shown below . k Per fo rming Fi ...

  • Casio FX-CG20 - page 333

    CASIO 8-49 • Compound Interest Note: • P/Y and C/Y can be omitted for all compound interest calculations . When they are omitted, calculations are perf or med using P/Y=12 and C/Y=12. • If you perf or m a calculation that uses a compound interest function (Cmpd_n(, Cmpd_I%(, Cmpd_PV(, Cmpd_PMT(, Cmpd_FV(), the argument(s) you input and the ca ...

  • Casio FX-CG20 - page 334

    CASIO 8-50 Amt_ Σ INT : Retur ns the total pr incipal and interest paid from pa yment PM1 to PM2. Syntax: Amt_ Σ INT(PM1, PM2, I %, PV , PMT , P/Y , C/Y) Amt_ Σ PRN: Returns the total pr incipal paid from pa yment PM1 to PM2. Syntax: Amt_ Σ PRN(PM1, PM2, I %, PV , PMT , P/Y , C/Y) • Interest Rate Conversion Cnvt_EFF: Retur ns the interest rat ...

  • Casio FX-CG20 - page 335

    CASIO 8-51 7. Program Mode Command List RUN Program 4 (M EN U) ke y L e v e l 1L e v e l 2L e v e l 3 C o m m a n d ST A T DRAW On Draw On Off Draw Of f GRAPH S- G ph 1 S-Gph1 _ S-Gph2 S-G ph2_ S-Gph3 S-G ph3_ Scatter Scatter xyLine xyL i ne Hist Hist Box MedBox Bar Bar N-Dis t N-Dist Broken Broken X Linear Med Med-Med X 2 Quad X 3 Cubic X 4 Quart ...

  • Casio FX-CG20 - page 336

    CASIO 8-52 Σ a n+2 Σ Σ a n+2 Σ b n Σ b n Σ b n+ 1 Σ b n+ 1 Σ b n+2 Σ b n+2 Σ c n Σ c n Σ c n+ 1 Σ c n+ 1 Σ c n+2 Σ c n+2 RAN GE a 0 Sel_a 0 a 1 Sel_a 1 GRHCLR Se tG-Color_ K key L e v e l 1L e v e l 2L e v e l 3 C o m m a n d LIST List Lis t _ Lst → Mat List → Mat ( Dim Dim_ Fill ( Fill ( Seq Seq ( Min Min ( Max Max ( Mean Mean ( ...

  • Casio FX-CG20 - page 337

    CASIO 8-53 TEMP ° C [ ° C] K [K] ° F [ ° F] ° R [ ° R] VELOCIT Y m / s [m /s ] km /h [km /h] knot [kn ot] ft/s [f t/ s] mile / h [mi le/h] MASS u [u] mg [mg] g [g] kg [kg] mton [mton] oz [oz] lb [lb] slug [sl ug] ton ( shor t) [ton(short)] ton ( lon g) [ton(lon g)] FORCE N [N] lbf [lbf] tonf [tonf] dyne [dyne] kgf [kgf] PRES SU RE Pa [Pa] kPa ...

  • Casio FX-CG20 - page 338

    CASIO 8-54 Σ INT Amt_ Σ IN T( Σ PRN Amt _ Σ PRN ( CONVERT E FF Cnv t _EFF ( APR Cnvt _ A PR ( COST Cost Cost ( Sell Sell( Margin Margin( DA YS PR D Days_P rd ( BOND PRC Bond_PRC ( YLD Bond_ Y LD ( J key L e v e l 1L e v e l 2L e v e l 3 C o m m a n d V-W I N X m i n Xmi n max Xmax scale Xscl dot Xdot Ym i n Ymin max Ym a x scale Ysc l T, θ min ...

  • Casio FX-CG20 - page 339

    CASIO 8-55 EQUA TI ON S i mR es Sim_ Resul t SimCoef Sim_C oef PlyRe s Ply_Result PlyC oe f Ply_Coef FINA NC E n n I% I% PV PV PMT PMT F V FV P/ Y P/ Y C/Y C/ Y Str Str _ ! J (P RG M) k e y L e v e l 1L e v e l 2L e v e l 3 C o m m a n d COMMAND If If_ Then The n_ Else Els e_ IfEnd IfEnd For For_ To _To_ Step _Step_ Next Nex t While Whi le_ WEnd Wh ...

  • Casio FX-CG20 - page 340

    CASIO 8-56 BACK Non e BG-None Pic t BG-Pict _ OPE N * 8 ( s ee p ag e 8 - 5 8 ) FUNC O n FuncOn Off FuncOf f SIMUL On SimulOn Off SimulOf f SG V-WIN Auto S-Wi ndAuto Manual S- WindMa n LIST File File_ LOC U S O n LocusOn Off LocusOf f TBL - V AR Range VarRange List VarLi st _ Σ DISP On Σ Σ dispO n Off Σ dispO f f RESID None Resid-None List Resi ...

  • Casio FX-CG20 - page 341

    CASIO 8-57 ! J (P RG M) k e y L e v e l 1L e v e l 2L e v e l 3 C o m m a n d Pro g Prog_ JUMP Lbl Lbl_ Goto Goto_ ⇒ ⇒ ⇒ Isz Isz _ Dsz Dsz _ Menu Menu_ ? ? ^^ RELA TN L = = ≠≠ ≠ > > < < ≥≥ ≥ ≤ ≤ ≤ : : !m ( S E T UP ) k ey L e v e l 1 L e v e l 2 L e v e l 3 C o mm a n d Dec Dec Hex Hex Bin Bin Oct Oct ! f (F OR M ...

  • Casio FX-CG20 - page 342

    CASIO 8-58 * 7 Metric conversion commands (commands included in K 6 ( g ) 1 (CONVERT)) are supported only when the Metric Conversion add-in application is installed. * 8 Selecting “OPEN” displays a dialog box for specifying an image file. The storage memory location (folder name and file name) of the specified image will be input. For example: ...

  • Casio FX-CG20 - page 343

    CASIO 8-59 8. CASIO Scientific Function Calculator Special Commands ⇔ Text Conversion Table The table below shows the special text strings that correspond to commands when converting between programs and text files. For details about the operations for converting between programs and text files, see “Converting Programs and Text Files” (page ...

  • Casio FX-CG20 - page 344

    CASIO 8-60 Command T ext f femto p pico n nano μ micro m milli k kilo M Mega G Giga T Tera P Peta E Exa ^ Disps ↵ (CR) → -> E ^E ≤ <= G <> ≥ >= ⇒ => f 1 f1 f 2 f2 f 3 f3 f 4 f4 f 5 f5 f 6 f6 a &HA b &HB c &HC d &HD e &HE f &HF  ! !! " ˝ # # $$ %% && ' ’ ( ( ) ) €€ ? ...

  • Casio FX-CG20 - page 345

    CASIO 8-61 Command T ext e^ e^ Int  Int  Not  Not  ^ ^ × € or or ! ! r rad minY minY minX minX n Statn sinh 1  sinh^−1  cosh 1  cosh^−1  tanh 1  tanh^−1  b &b 10 (10) Frac  Frac  Neg  Neg  x ' Xrt ÷ / and and { frac g gra maxY maxY maxX maxX ∑ y 2 Sigmay2 Ans Ans Ran#  Ran# ...

  • Casio FX-CG20 - page 346

    CASIO 8-62 Command T ext FV Financial  FV List1 List1 List2 List2 List3 List3 List4 List4 List5 List5 List6 List6 Q 1 Q1 Q 3 Q3 x 1 x1 y 1 y1 x 2 x2 y 2 y2 x 3 x3 y 3 y3 logab( logab( RndFix( RndFix( RanInt#( RanInt#( RanList#( RanList#( RanBin#( RanBin#( RanNorm#( RanNorm#( Σ a n Sigmaan Σ b n Sigmabn Σ c n Sigmacn Getkey Getkey F  Result ...

  • Casio FX-CG20 - page 347

    CASIO 8-63 Command T ext [ft] [ft] [yd] [yd] [fath] [fath] [rd] [rd] [mile] [mile] [n  mile] [n_mile] [acre] [acre] [ha] [ha] [cm 2 ] [cm^2] [m 2 ] [m^2] [km 2 ] [km^2] [in 2 ] [in^2] [ft 2 ] [ft^2] [yd 2 ] [yd^2] [mile 2 ] [mile^2] [m/s] [m/s] [km/h] [km/h] [ft/s] [ft/s] [mile/h] [mile/h] [knot] [knot] [mL] [mL] [L] [L] [tsp] [tsp] [cm 3 ] [cm^ ...

  • Casio FX-CG20 - page 348

    CASIO 8-64 Command T ext Q1Q3TypeStd Q1Q3TypeStd VarRange VarRange Q1Q3TypeOnData Q1Q3TypeOnData SketchNormal  SketchNormal  SketchThick  SketchThick  SketchBroken  SketchBroken  SketchDot  SketchDot  a n Type anType a n + 1 Type an+1Type a n + 2 Type an+2Type StoPict  StoPict  RclPict  RclPict  StoGMEM  StoGM ...

  • Casio FX-CG20 - page 349

    CASIO 8-65 Command T ext GeoCD( GeoCD( InvGeoCD( InvGeoCD( HypergeoPD( HypergeoPD( HypergeoCD( HypergeoCD( InvHypergeoCD( InvHypergeoCD( SetG-Color  SetG-Color  Plot/Line-Color  Plot/Line-Color  AxesScale AxesScale Black  Black  Magenta  Magenta  Cyan  Cyan  Yellow  Yellow  Smpl_SI( Smpl_SI( Smpl_SFV( Smpl_SFV( C ...

  • Casio FX-CG20 - page 350

    CASIO 8-66 9. Program Library • Be sure to check ho w many bytes of un used memor y are remaining before attempting to perf or m any progr amming. Progr am N a me Prim e Factori z at ion Description This program contin ually divides a natural number b y f actors until all its pr ime f actors are produced. Purpose This program accepts input of nat ...

  • Casio FX-CG20 - page 351

    CASIO 8-67 Progr am N a me Ellips e Description This program displa ys a number table of the f ollowing v alues based on input of the foci of an ellipse, the sum of the distance betw een the loci and foci, and the pitch (step siz e) of X. Y1: Coordinate values of upper half of ellipse Y2: Coordinate values of lo wer half of ellipse Y3: Distances be ...

  • Casio FX-CG20 - page 352

    CASIO 9-1 Chapter 9 Spreadsheet The Spreadsheet application provides y ou with pow erful, take-along-anywhere spreadsheet capabilities. All of the operations in this section are perf or med in the Spreadsheet mode. 1. Spreadsheet Basics and the Function Menu Selecting Spreadsheet on the Main Menu will displa y a spreadsheet screen. Entering the Spr ...

  • Casio FX-CG20 - page 353

    CASIO 9-2 k Spreadsheet Screen Function Menu • { FILE } ... Displays the f ollowing FILE submenu. • { NEW } / { OPEN } / { SA VE • AS } / { RECALCS } / { CSV } • { EDIT } ... Displays the f ollowing EDIT submenu. • { CUT } / { P ASTE } / { COPY } / { CELL } / { JUMP } / { SEQ } / { FILL } / { SORT ASC } / { SORTDES } • P ASTE is display ...

  • Casio FX-CG20 - page 354

    CASIO 9-3 2. Basic Spreadsheet Operations This section e xplains spreadsheet file operations, ho w to mov e the cursor and select one or more cells, and ho w to enter and edit data. k Spreadsheet File Operations u T o create a new file 1. Press 1 (FILE) 1 (NEW). 2. On the dialog box that appears , enter up to eight characters f or the file name, an ...

  • Casio FX-CG20 - page 355

    CASIO 9-4 u T o delete a file 1. Press 1 (FILE) 2 (OPEN). 2. On the file list that appears, use f and c to select the file you w ant to delete and then press 1 (DELETE). 3. This causes a confir mation message to appear . Press 1 (Y es) to delete the file, or 6 (No) to cancel without deleting anything. 4. T o retur n to the spreadsheet from the file ...

  • Casio FX-CG20 - page 356

    CASIO 9-5 u T o save spreadsheet contents as a CSV file 1. If required, press 1 (FILE) 4 (RECALCS) to recalculate the spreadsheet contents. • Note that recalculation is not performed automatically when you sa ve spreadsheet contents to a CSV file. Be sure to perform recalculation if the spreadsheet contains a f or mula, which star ts with an equa ...

  • Casio FX-CG20 - page 357

    CASIO 9-6 k Using the Cell Cursor The cell cursor shows the cell that is selected on a spreadsheet. The highlighted cell is the one that is currently selected by the cell cursor . Cell cursor Edit box When a single cell is selected by the cell cursor , the contents of that cell are display ed in the edit bo x. The cell contents can be edited in the ...

  • Casio FX-CG20 - page 358

    CASIO 9-7 u Using the JUMP Command to Move the Cell Cursor T o move the cell cursor to here: Do this: A par ticular cell 1. Press 2 (EDIT) 4 (JUMP) 1 (GO). 2. On the dialog box that appears , enter the name of the cell (A1 to Z999) to which you w ant to jump . 3. Press w . Line 1 of the current column Press 2 (EDIT) 4 (JUMP) 2 (T OP ↑ ). Column A ...

  • Casio FX-CG20 - page 359

    CASIO 9-8 k Data (Constants, T ext, Formula) Input Basics First let’ s hav e a look at a f ew basic procedures that apply regardless of the type of data y ou are inputting. u T o overwrite data currently in a cell with new data 1. Mov e the cell cursor to the cell where you w ant to input data. • If the cell you select already contains data, th ...

  • Casio FX-CG20 - page 360

    CASIO 9-9 k Inputting a Constant (V alue, Calculation Result, Number Sequence) into a Cell A constant is something whose v alue is fixed as soon as y ou finalize its input. A constant can be either a numeric value , or a calculation f or mula (such as 7+3, sin30, A1 × 2, etc.) that does not hav e an equal sign (=) in front of it. Inputting s da w ...

  • Casio FX-CG20 - page 361

    CASIO 9-10 Item Description 1st Cell Input the ref erence name (A1, B2, etc.) of the cell where you w ant the first v alue of the number sequence to be input. Specify a cell here only if the star ting cell is different from the one y ou specified in step 1 of this procedure. Example: al (B) b w (B1) • Each time you press w after inputting data f ...

  • Casio FX-CG20 - page 362

    CASIO 9-11 u Formula Input Example A B C 1 PRICE QU ANTITY TOT A L 2 35 15 525 3 52 15 780 4 78 20 1560 Procedure 1. Input the text f or line 1, and the applicable v alues in cells A2 through B4. 2. Mov e the cursor to cell C2, and input the formula f or A2 × B2. ! . (=) av (A) c* al (B) c w 3. Copy the f or mula in cell C2 and copy it into cells ...

  • Casio FX-CG20 - page 363

    CASIO 9-12 u T o input a cell reference name using the GRAB command Mov e the cell cursor to cell B1 and then perf or m the f ollowing operation. ! . (=) 1 (GRAB) d 1 (SET) +f w • Commands 2 (GO) through 6 (BTM → ) on the submenu that appears when y ou press 1 (GRAB) are identical to commands 1 (GO) through 5 (BTM → ) of the JUMP command subm ...

  • Casio FX-CG20 - page 364

    CASIO 9-13 k Specifying Cell Formatting F or each cell, you can specify the te xt color , cell color , and cell color lightness (Nor mal or Lighter). u T o specify cell formatting 1. Select the range of cells whose f or matting you want to specify . 2. Press ! f (FORMA T) to display the FORMA T dialog bo x. 3. Configure the abov e dialog box with t ...

  • Casio FX-CG20 - page 365

    CASIO 9-14 k Copying and Pasting Cell Contents Y ou can copy the contents of one or more cells and paste them into another location. Once you perf or m the copy oper ation, you can cop y the contents to multiple locations , if you w ant. u T o copy and paste spreadsheet data 1. Select the cell(s) you want to cop y . • See “T o select cells” ( ...

  • Casio FX-CG20 - page 366

    CASIO 9-15 When you are cut and paste a r ange cells, ref erence names that aff ect relationships within the range are changed accordingly when the range is pasted in order to maintain the correct relationship , regardless of whether they are relativ e or absolute reference names . Cutting the B1:C1 range of cells that includes the f or mula =B1+5 ...

  • Casio FX-CG20 - page 367

    CASIO 9-16 k Inputting the Same Formula into a Range of Cells Use the Fill command when you w ant to input the same f or mula into a specified range of cells . The rules gov er ning relative and absolute cell name ref erences are the same as those f or cop y and paste. When you need to input the same f or mula into cells B1, B2, and B3, f or exampl ...

  • Casio FX-CG20 - page 368

    CASIO 9-17 k Sorting Constant Data Note that only constant data can be sor ted. Y ou can select multiple columns within a single line or multiple lines within a single column f or sor ting. u T o sort constant data 1. Select a range of column cells in a single row or a range of ro w cells in a single column. • See “T o select a range of cells? ...

  • Casio FX-CG20 - page 369

    CASIO 9-18 u T o insert a row or column of blank cells 1. P erf or m one of the follo wing operations to specify the location of the inser t and the number of rows or columns to be inser ted. • T o insert rows Star ting with the row immediately below of the ro w where you w ant the inser t to be perf or med, select the same number of rows that y ...

  • Casio FX-CG20 - page 370

    CASIO 9-19 3. Using Special Spreadsheet Mode Commands The Spreadsheet mode has a number of special commands lik e CellSum(, which retur ns the sum of a range of cells , and CellIf(, which specifies branching conditions. These special commands can be used inside of f or mulas. k Special Spreadsheet Mode Command List “Input K e y Operation” opera ...

  • Casio FX-CG20 - page 371

    CASIO 9-20 Command Description CellMedian( (Median of Cells) Retur ns the median v alue in a specified range of cells. Input Key Operation: 5 (CELL) 4 (Med) Syntax: CellMedian(star t cell:end cell[)] Example: =CellMedian(A3:C5) Retur ns the median v alue of the data in cell range A3:C5. CellSum( (Sum of Cells) Retur ns the sum of the data in a spec ...

  • Casio FX-CG20 - page 372

    CASIO 9-21 4. Conditional Formatting The conditional f or matting function can be used to define conditional expressions (such as A1<0) that deter mine the f or matting (text color , area color , paint style) of a cell. k Conditional Formatting Overview Y ou can specify up to two conditions f or each cell. Pressing 6 ( g ) 5 (CONDIT) displa ys t ...

  • Casio FX-CG20 - page 373

    CASIO 9-22 • T ype: Expression Use this condition type to define a condition based on a f or mula (such as CelMin(A1:B10) ≤ C1) that ref erences one or more cells. This condition type provides a wide range of v ersatility to set up conditions such as the ones shown belo w . • When A1×30>100, A1 text is b lue. • When CellSum(B1:B30) ≤ ...

  • Casio FX-CG20 - page 374

    CASIO 9-23 6. Use f and c to mo ve the highlighting to “Format” and then press 1 (SETFORM). • On the FORMA T dialog box that appears , perf or m steps 3 and 4 of the procedure under “T o specify cell f or matting” (page 9-13) to configure f or mat settings. • Including format settings will cause a sample of the f or mat to appear in the ...

  • Casio FX-CG20 - page 375

    CASIO 9-24 The f ollowing is the basic syntax f or inputting v alues for V1, V2, and V alue. • Mov e the highlighting to the line whose setting you w ant to change, input a v alue or calculation f or mula, and then press w . If you input a calculation f or mula, the final value will be the calculation result. • If 3 (C=  ) or 4 (C ≠  ) ...

  • Casio FX-CG20 - page 376

    CASIO 9-25 - 2 (ERR OR) ... Inputs “ERR OR” into the conditional expression. For e xample, y ou can use this to input A1=ERROR. Decision depends on whether or not “ERR OR” is display ed in the cell being ref erenced in the conditional e xpression (A1 in the example here). - 3 (BLANK) ... Inputs “BLANK” into the conditional expression. D ...

  • Casio FX-CG20 - page 377

    CASIO 9-26 u Procedure 1. Select the r ange of cells B3:C4. 2. Press 6 ( g ) 5 (CONDIT) to display the Condition screen. • Condition1 appears first, so configure the first condition here. 3. Use c to mov e the highlighting to “Expre” (Expression) and then press 6 ( g ) 1 (C<  ). • Initially , “Cell < V alue” is display ed in th ...

  • Casio FX-CG20 - page 378

    CASIO 9-27 5. Drawing Statistical Graphs, and Performing Statistical and Regression Calculations When you w ant to check the correlation betw een two sets of data (such as temperature and the price of some product), trends become easier to spot if you dra w a graph that uses one set of data as the x -axis and the other set of data as the y -axis. W ...

  • Casio FX-CG20 - page 379

    CASIO 9-28 k General Graph Settings Screen Operations Y ou can use the general graph setting screen to specify the r ange of data to be used f or graphing, and to select the type of g raph to be dra wn. u T o configure statistical graph settings 1. Input the statistical calculation data into the spreadsheet and then select the range of cells you w ...

  • Casio FX-CG20 - page 380

    CASIO 9-29 Item Description F requency Specifies the range cells that contain values indicating the frequency of each graph data item. Select 1 (1) if you do not w ant to use frequency v alues. Mark T ype Specify the type of mark (  , , or  ) to use as the mark on the scatter plot. 3. Use f and c to mov e the highlighting to the setting item ...

  • Casio FX-CG20 - page 381

    CASIO 9-30 k Using the Statistical Calculation Data Range Specification Screen Y ou can use a special setting screen to specify the range of data to be used f or statistical calculation. u T o specify the data range for statistical calculation 1. Input the statistical calculation data into the spreadsheet and then select its range of cells. 2. Pres ...

  • Casio FX-CG20 - page 382

    CASIO 9-31 k Statistics Mode and Spreadsheet Mode Function Menu Correspondence T able In both the Statistics mode and the Spreadsheet mode, statistical g raph functions are on the GRAPH function menu and statistical/regression calculation functions are on the CALC function menu. The str uctures of these menus and their submenus are the same in the ...

  • Casio FX-CG20 - page 383

    CASIO 9-32 When dra wing a pie char t or bar graph, only the Color Link settings (page 6-3) are diff erent from the settings in the Statistics mode and Spreadsheet mode. For this graph type: Selecting this for Color Link: Causes this to happen: Pie Categor y Of the data being used to draw the g raph, the te xt color of the cells in the range specif ...

  • Casio FX-CG20 - page 384

    CASIO 9-33 3. P erf or m the f ollowing operation to displa y the general graph settings screen: 6 ( g ) 1 (GRAPH) 6 (SET). • The “Category” and “Data” settings are configured automatically . Chec k to make sure that A1:A5 is shown f or “Category” and B1:B5 is shown f or “Data”. 4. Use f and c to mov e the highlighting to “Gr ap ...

  • Casio FX-CG20 - page 385

    CASIO 9-34 6. Spreadsheet Mode Memory Y ou can use the calculator’ s diff erent types of memor y (variables , list memor y , file memor y , matrix memor y) to store data, and recall data from a memor y into the spreadsheet. k Saving Spreadsheet Data to a Memory The f ollowing tab le shows an ov er view of the store oper ations for each type of me ...

  • Casio FX-CG20 - page 386

    CASIO 9-35 u Example: T o store column data in list memory 1. In a single column, select the range of cells you w ant to store in list memor y . • For e xample, you could select A1:A10. 2. Press 6 ( g ) 3 (ST ORE) 2 (LIST). • This will display a screen lik e the one shown to the right. The “Cell Range” setting will show the range of cells y ...

  • Casio FX-CG20 - page 387

    CASIO 9-36 Note • When data is recalled to a spreadsheet from list memor y or file memor y , the te xt color inf or mation of each element is inher ited by the spreadsheet cells . The area color and paint style colors of the destination cells are set to their initial def aults of the destination cells. • When data is recalled to a spreadsheet f ...

  • Casio FX-CG20 - page 388

    CASIO 10-1 Chapter 10 eActivity Y ou can use the eActivity mode to input data into an eActivity file. Y ou can input te xt, numeric e xpressions and pictures, and also paste data (lik e graphs , tables , etc.) from the calculator’ s built-in applications as “str ips”. eActivity files can be used by a teacher , for e xample, to create math pro ...

  • Casio FX-CG20 - page 389

    CASIO 10-2 The f ollowing e xplains the type of data you can input and edit in an eActivity file . T e xt line ................. A text line can be used to input char acters, numbers , and expressions as te xt. Calculation line...... Use the calculation line to enter an ex ecutable calculation f or mula. The result will appear in the f ollowing lin ...

  • Casio FX-CG20 - page 390

    CASIO 10-3 k W orkspace Screen Function Menu P ar t of the content of the workspace function menu depends on the line (or str ip) that is currently selected. • Workspace Screen Common Menu Items Only the menu items marked with an asterisk (*) below are suppor ted while a picture line is selected. • { FILE }* ... Displays the f ollowing file ope ...

  • Casio FX-CG20 - page 391

    CASIO 10-4 • { COLOR } ... Displa ys the follo wing COLOR submenu. • { MARKER } ... Enters the marker mode f or highlighting te xt (page 10-10). • { CHAR } ... Enters the color mode f or coloring text (page 10-11). • { MEMO } ... Displa ys the follo wing MEMO submenu. • { INSERT } ... Appends a memo at the current cursor position. • { D ...

  • Casio FX-CG20 - page 392

    CASIO 10-5 2. Input up to 8 characters f or the file name and then press w . • This displays a b lank wor kspace screen. Cursor • The follo wing are the characters allow ed in a file name. A to Z, {, }, ’, ~, 0 to 9 u T o open a file Use f and c to highlight the file you w ant to open, and then press 1 (OPEN) or w *. * If an error occurs, del ...

  • Casio FX-CG20 - page 393

    CASIO 10-6 4. Inputting and Editing Data All of the operations in this section are perf or med on the eActivity workspace screen. Use the procedures under “eActivity File Operations” (page 10-4) to create a new file or to open an e xisting file. k Cursor Movement and Scroll Operations When you want to do this: Use this key operation: Mov e the ...

  • Casio FX-CG20 - page 394

    CASIO 10-7 • “CALC” will be display ed f or the F3 function menu item if the cursor is located in a calculation line. Pressing 3 (CALC) will change the calculation line to a text line . • If the cursor is located in a str ip , use f and c to mov e to the cursor to a te xt line. • On the function menu, selecting {INSER T} and then {TEXT} w ...

  • Casio FX-CG20 - page 395

    CASIO 10-8 u T o input a calculation formula into an eActivity 1. Mov e the cursor to a calculation line. • While the cursor is in a calculation line, “CALC” will be displa yed f or the F3 function menu item. This indicates that calculation expression input is enab led. Math line cursor This will cause the 3 ke y menu to change to “CALC”. ...

  • Casio FX-CG20 - page 396

    CASIO 10-9 u Matrix Calculations Using the Matrix Editor Selecting { ' MA T} on the function menu displa ys the Matrix Editor . Matrix Editor operations and matrix calculations in the eActivity mode are the fundamentally identical to those in the Run-Matrix mode. For details about the Matrix Editor and matrix calculation operations , see “Ma ...

  • Casio FX-CG20 - page 397

    CASIO 10-10 k Highlighting and Changing the Color of T ext Y ou can highlight or change the color of text line or calculation line te xt in order to add emphasis. • Y ou cannot mark or change the color of the te xt of a calculation line result. u T o highlight text 1. Mov e the cursor to the beginning (or end) of the text y ou want to highlight. ...

  • Casio FX-CG20 - page 398

    CASIO 10-11 u T o change the text color 1. Mov e the cursor to the beginning (or end) of the text whose color y ou want to change . 2. Press 6 ( g ) 5 (COLOR) 2 (CHAR). 3. On the dialog box that appears , press the number k ey that corresponds to the color y ou want to use . • This closes the dialog box. The cursor will now be the color y ou sele ...

  • Casio FX-CG20 - page 399

    CASIO 10-12 u T o append a memo to a line 1. Mov e the cursor to the text line or calculation line where y ou want to append a memo . 2. If the cursor is located at a text line , press 6 ( g ) 6 ( g ) 3 (MEMO) 1 (INSER T). If it is at a calculation line, press 6 ( g ) 6 ( g ) 1 (MEMO) 1 (INSER T). • This displays a memo color selection dialog bo ...

  • Casio FX-CG20 - page 400

    CASIO 10-13 u T o edit the text of an existing memo 1. Mov e the cursor to the line where the memo you w ant to edit is appended. 2. If the cursor is located at a text line , press 6 ( g ) 6 ( g ) 3 (MEMO) 4 (VIEW). If it is at a calculation line, press 6 ( g ) 6 ( g ) 1 (MEMO) 4 (VIEW). • This will display the memo windo w as shown in the screen ...

  • Casio FX-CG20 - page 401

    CASIO 10-14 k Inserting an Image (Picture) The f ollowing tab le shows the image file sizes that are supported for inser tion into an eActivity file. Width × Height (dots) Size Example Screen (a) 384 × 216 This is the ov erall screen size f or this model. The graphic images stored in picture memor y (page 5-21) are this size . The 48 v er tical d ...

  • Casio FX-CG20 - page 402

    CASIO 10-15 u T o insert an image 1. Use f and c to mo ve the cursor to the location where y ou want to inser t the image. 2. If the cursor is located at a text line , press 6 ( g ) 3 (INSER T) 4 (PICTURE). If it is at a calculation line, press 5 (INSER T) 4 (PICTURE). • This displays a list of g3p files stored in the PICT f older in storage memo ...

  • Casio FX-CG20 - page 403

    CASIO 10-16 u T o add a boundary line around an image 1. Use f and c to select the image to which y ou want to add a boundar y line. 2. Press ! f (FORMA T). • This displays a dialog bo x for specifying the style and color of the boundary line. 3. Specify the boundar y line style and color . • Use f and c to mov e the highlighting to Line Style ...

  • Casio FX-CG20 - page 404

    CASIO 10-17 Strip Data T ype T able Data T ype Strip Name Run-Matrix mode calculation data (When the Run-Matrix mode is called from an eActivity , it star ts up in the Math input/output mode.) RU N Graph mode graph screen data Graph Graph mode graph relation list screen data Graph Editor T able mode table relation list screen data T able Editor Con ...

  • Casio FX-CG20 - page 405

    CASIO 10-18 u T o insert a strip 1. Mov e the cursor to the location where you w ant to inser t the strip. 2. Press 2 (STRIP). • This will display a dialog bo x with a list of inser table strips. F or information about the displa y names and data types that appear on this dialog bo x, see the “Str ip Data T ype T able” (page 10-17). 3. Use c ...

  • Casio FX-CG20 - page 406

    CASIO 10-19 8. Enter the function you want to g raph. (Example: Y = 2 1 x 2 – 1) 9. Press 6 (DRA W). • This will graph the function y ou entered. 10. T o retur n to the eActivity wor kspace screen, press ! a ( ' ). • The data that is graphed in step 8 will be sa ved in the Gr aph str ip . • The sav ed graph data is link ed to this Grap ...

  • Casio FX-CG20 - page 407

    CASIO 10-20 The f ollowing describes the Notes screen function menu items. • { JUMP }... Displays a JUMP menu that y ou can use to jump to the top ( 1 (T OP)) of the data, the bottom ( 2 (BO TT OM)) of the data, the previous page ( 3 (P ageUp)), or the next page ( 4 (P ageDown)). • { DEL-LINE } ... Deletes the line that is currently selected or ...

  • Casio FX-CG20 - page 408

    CASIO 10-21 u T o toggle between the eActivity workspace screen and an application screen called from a strip Press ! a ( ' ). Each press of ! a ( ' ) toggles between the eActivity w or kspace screen and the application screen called from the strip. u T o switch from an application screen called up from a strip to another application scre ...

  • Casio FX-CG20 - page 409

    CASIO 10-22 k Saving a File Use the procedures in this section to sav e a file after inputting or editing it on the wor kspace screen. An eActivity file f or the fx-CG10/fx-CG20 ma y hav e a file name e xtension of “g3e”. P erf or ming either of the f ollowing operations on the fx-CG10/fx-CG20 to sa v e an eActivity file alwa ys will cause the ...

  • Casio FX-CG20 - page 410

    CASIO 10-23 k Displaying the eActivity Memory Usage Screen The maximum siz e of an eActivity file is approximately 29,000 b ytes.* Y ou can use the eActivity file memor y usage screen to check ho w much memor y capacity remains f or the file you are currently w or king on. * Actual maximum file size depends on capture memor y and clipboard memor y ...

  • Casio FX-CG20 - page 411

    CASIO 11-1 Chapter 1 1 Memory Manager This calculator includes main memor y and storage memor y f or data storage. The main memor y is a work area where you can input data, perf or m calculations, and run programs . Data in the main memor y can be deleted by batteries going dead or when you perf or m a reset. Storage memory is an area for storing e ...

  • Casio FX-CG20 - page 412

    CASIO 11-2 • Use the cursor f and c ke ys to mov e the highlighting and check the n umber of bytes used by each type of data. • The status bar sho ws the remaining capacity of the currently display ed memor y area (main or storage). • If the name of a file transf erred to storage memor y from your computer or other source has a file name that ...

  • Casio FX-CG20 - page 413

    CASIO 11-3 The f ollowing data can be chec ked. Main Memory Note For inf or mation about the “Overwrite Chec k” column in the table belo w , see “T o ex ecute a send operation” (page 13-12) and “Error Chec ks During Data Copy” (page 11-9). Icon/Data Name Contents Overwrite Check ALPHA MEM Alpha letter v ar iables No CONICS Conics settin ...

  • Casio FX-CG20 - page 414

    CASIO 11-4 Icon/Data Name Contents Overwrite Check _SETTING Spreadsheet mode setting data No Each spreadsheet name Spreadsheet data Y es SETUP Setup data No S TAT Stat result data No STRING Str ing memor y group — STRING n ( n = 1 to 20) Str ing memor y No SYSTEM OS and data shared by applications (clipboard, repla y , histor y , etc.) No T ABLE ...

  • Casio FX-CG20 - page 415

    CASIO 11-5 k Creating a Folder in Storage Memory u T o create a new folder 1. While storage memor y data is on the display , press 4 (FOLDER) 1 (MKEFLDR) to displa y the f older name input screen. 2. Input up to eight characters f or the name you w ant to give to the f older . • Only the follo wing characters are suppor ted: A through Z, {, }, ? ...

  • Casio FX-CG20 - page 416

    CASIO 11-6 k V iewing Detailed Information about a File in Storage Memory On the storage memory information screen, you can highlight a file and then press 5 (DET AIL) or e to displa y its DET AIL screen. If you select a g3p or g3b file , these operations will displa y a pre view of the file’ s image. Non g3p/g3b File 5 (DET AIL) or e → ← J o ...

  • Casio FX-CG20 - page 417

    CASIO 11-7 k Selecting Data • Press 1 (SELECT) to select the currently highlighted item, which is indicated by the selection pointer (  ) appearing next to it. Pressing 1 (SELECT) again will deselect the item, causing the selection pointer to disappear . • Y ou can select multiple files , if you w ant. → 1 (SELECT) ← • Selecting a grou ...

  • Casio FX-CG20 - page 418

    CASIO 11-8 k Copying Data u T o copy from main memory to storage memory The f ollowing procedure sa ves the selected data into a single file . Y ou assign a name to the file, which is stored in stor age memor y . 1. On the main memor y information screen, select the data you want to cop y . 2. Press 2 (COPY). • This displays the f older selection ...

  • Casio FX-CG20 - page 419

    CASIO 11-9 u T o copy from storage memory to main memory 1. On the storage memor y information screen, select the file you w ant to copy . • The only files that can be copied to main memor y are those with one of the follo wing file name e xtensions: g1m, g2m, g3m, g1r , g2r . Selecting a file of any other f or mat and perf or ming the follo wing ...

  • Casio FX-CG20 - page 420

    CASIO 11-10 T ype mismatch error check Only files whose names hav e the extension .g1m, .g2m, .g3m, .g1r , or .g2r can be copied from storage memory to main memor y . Any other type of error will cause a type mismatch error . k Other File Operations u T o delete a file or folder 1. Display the main memory information screen or the storage memor y i ...

  • Casio FX-CG20 - page 421

    CASIO 11-11 k Backing Up Main Memory Data u T o back up main memory data 1. On the initial Memory mode screen press 4 (BACKUP). 2. Press 1 (SA VE). • This displays a f older selection screen. 3 . Use f and c to select the folder where y ou want to sa ve the data. 4. Press w to star t the backup . • A “Memory Full” occurs when there is not e ...

  • Casio FX-CG20 - page 422

    CASIO 11-12 u T o restore backup data to the main memory 1. On the initial Memory mode screen press 4 (BACKUP). • On the screen that appears, y ou can confir m whether or not there is backup data in the storage memory . 2. Press 2 (LOAD). • This displays the f older selection screen. 3. Use f and c to select a folder . 4. Press w .* 1 • A mes ...

  • Casio FX-CG20 - page 423

    CASIO 11-13 k Optimizing Storage Memory Storage memory can become fragmented after many store and load operations , causing entire bloc ks of memor y to become unav ailab le for data stor age. Because of this, y ou should periodically perform the storage memor y optimization procedure, which rearranges the data in the storage memory and makes memor ...

  • Casio FX-CG20 - page 424

    CASIO 12-1 Chapter 12 System Manager Use the System Manager to view system inf or mation and make system settings. 1. Using the System Manager F rom the Main Menu, enter the System mode and displa y the follo wing menu items. • 1 (DISPLA Y) ... {display brightness adjustment} • 2 (PWRProp) ... {power proper ties settings} • 3 (LANGU AGE) ... ...

  • Casio FX-CG20 - page 425

    CASIO 12-2 k Power Properties Settings u T o specify the Auto Power Off trigger time While the initial System mode screen is displa yed, press 2 (PWRProp) to displa y the P ower Proper ties setting screen. • 1 (10Min) ... {10 minutes} (initial default setting) • 2 (60Min) ... {60 minutes} Press J or !J (QUIT) to return to the initial System mod ...

  • Casio FX-CG20 - page 426

    CASIO 12-3 k System Language Setting Use LANGU A GE to specify the displa y language for b uilt-in applications. u T o select the message language 1. While the initial System mode screen is display ed, press 3 (LANGU A GE) to displa y the Message Language selection screen. 2. Use the f and c cursor ke ys to select the language you w ant, and then p ...

  • Casio FX-CG20 - page 427

    CASIO 12-4 k V ersion List Use VERSION to display the oper ating system version. u T o display version information 1. While the initial System mode screen is display ed, press 4 (VERSION) to displa y the V ersion list. 2. Use f and c to scroll the screen. The contents of the list are shown belo w . - Operating system v ersion - Add-in application n ...

  • Casio FX-CG20 - page 428

    CASIO 12-5 The f ollowing table sho ws the functions of the function ke ys. Y ou can use the function ke ys to delete the specific data you w ant. Function Key Functions Initialize Setup Inf or mation Delete Main Memor y Data Delete Add-in Applications Delete Add-in Languages Delete Storage Memor y Data (Excluding Add-in Applications and Languages) ...

  • Casio FX-CG20 - page 429

    CASIO 12-6 Note After pressing 6 ( g ) 2 (ALL) to e x ecute initialize all you will need to configure a n umber of initial settings, the same w a y you do the first time y ou tur n on the calculator after purchasing it. The follo wing screens will appear automatically in sequence. Use each one to configure the required settings. • Message Languag ...

  • Casio FX-CG20 - page 430

    CASIO 12-7 k User Name Use the procedure in this section to identify yourself as the user of the calculator b y registering your name and organization. Important! • In order to protect against misuse of your calculator , be sure to also register a pass word when you register y our name and organization. Y ou will need to enter the correct passw o ...

  • Casio FX-CG20 - page 431

    CASIO 12-8 u T o delete the user name and organization name 1. While the initial System mode screen is display ed, press 6 ( g ) 2 (UserName) to displa y the user name screen. 2. Press 2 (DELETE). • This will display the cursor in the “P assw ord” field. 3. Enter the correct passw ord and then press w . • This causes a confir mation dialog ...

  • Casio FX-CG20 - page 432

    CASIO 13-1 Chapter 13 Data Communication This chapter e xplains how to transf er data between a calculator and a computer , or between two calculators . Data communication operations are perf or med in the Link mode. F rom the Main Menu, enter the Link mode. The f ollowing data communication main menu appears on the displa y . • { TRANSMIT } ... ...

  • Casio FX-CG20 - page 433

    CASIO 13-2 1. On the receiver’ s data communication main menu, press 5 (W AKEUP). This displa ys the W akeup setting screen. • { On } ... {tur ns W akeup on} • { Off } ... {tur ns W akeup off} 2. Press 1 (On). This tur ns on W ak eup and retur ns of the data communication main menu. 3. T ur n off the receiver . 4. Connect the receiver to the ...

  • Casio FX-CG20 - page 434

    CASIO 13-3 1. Performing Data Communication between the Calculator and a Personal Computer Establishing a USB connection between the calculator and a computer will cause the computer to recognize the calculator’s storage memory as a mass storage drive. Connection immediately causes main memory contents to be read into storage memory automatically ...

  • Casio FX-CG20 - page 435

    CASIO 13-4 3. Press 1 (USB Flash). • The message “Preparing USB” will appear on the calculator screen. Stand by and do not perform any operation on the calculator. Establishing a connection between the calculator and a computer will cause the screen shown nearby to appear. 4. On your computer, open the calculator drive. • The calculator dri ...

  • Casio FX-CG20 - page 436

    CASIO 13-5 k Transferring Data between the Calculator and a Personal Computer This section explains how to connect the calculator to the computer and open the calculator drive on the computer to transfer data. u Main Memory Data during a USB Connection The contents of the @MainMem folder in the calculator drive correspond to the contents of the cal ...

  • Casio FX-CG20 - page 437

    CASIO 13-6 Main Memory Group Name @MainMem Folder Name Main Memory Item Name @MainMem File Name ROOT ROOT DYNA MEM DYNA MEM.g3m EQUATION EQUATION.g3m FINANCIAL FINANCE.g3m STAT STAT.g3m SYSTEM SYSTEM.g3m TABLE TABLE.g3m Y=DATA Y=DATA.g3m u Main Memory Data Updating upon Termination of a USB Connection While there is a USB connection between the cal ...

  • Casio FX-CG20 - page 438

    CASIO 13-7 • If you place a file or folder that is not supported by the calculator into the @MainMem folder, it will be transferred to a folder named “SAVE-F” in the calculator’s storage memory and will not be shown in main memory. • If the size of the data in the @MainMem folder exceeds the available capacity of main memory, the message ...

  • Casio FX-CG20 - page 439

    CASIO 13-8 u To use your computer to edit a program created on the calculator 1. Use the calculator’s Program mode to create the program. (See “Chapter 8 Programming.”) 2. Connect the calculator and computer, and open the calculator drive on the computer. 3. Display the contents of the @MainMemPROGRAM folder, and then use a text editor to op ...

  • Casio FX-CG20 - page 440

    CASIO 13-9 k USB Connection Precautions • Depending on the operating system your computer is running, perform one of the following operations on the computer to terminate a connection with the calculator. - Windows: Click the “Safely Remove Hardware” icon in the toolbar in the lower left corner of the display. On the menu that appears, select ...

  • Casio FX-CG20 - page 441

    CASIO 13-10 2. Performing Data Communication between Two Calculators k Connecting Two Calculators The f ollowing procedure describes how to connect two calculators with the connecting cab le that comes equipped as a standard accessor y . u T o connect two calculators 1. Check to mak e sure that the power of both calculators is off . 2. Connect the ...

  • Casio FX-CG20 - page 442

    CASIO 13-11 k Performing a Data T ransfer Operation Connect the two calculators and then perf or m the f ollowing procedures . Receiving calculator T o set up the calculator to receiv e data, press 2 (RECV) while the data communication main menu is displa yed. The calculator enters a data receiv e standby mode and w aits for data to arriv e. Actual ...

  • Casio FX-CG20 - page 443

    CASIO 13-12 Only items that contain data appear on the data item selection screen. If there are too many data items to fit on a single screen, the list scrolls when you mo v e the cursor to the bottom line of the items on the screen. u T o execute a send operation After selecting the data items to send, press 6 (TRANSMIT). A message appears to conf ...

  • Casio FX-CG20 - page 444

    CASIO 13-13 Press 1 (Y es) to replace the receiving calculator’ s e xisting data with the new data, or 6 (No) to skip to ne xt data item. No : Overwrite check is not perf or med. If the receiving calculator already contains the same type of data, the e xisting data is ov erwritten with the new data. k Data Communication Precautions Note the f oll ...

  • Casio FX-CG20 - page 445

    CASIO 13-14 The following table shows how each type of data is handled when transferring from this calculator (fx-CG10/fx-CG20) to an older model CASIO calculator. Data Item *1 fx-9750G II fx-7400G II CFX-9850G ALPHAMEM ◎◎◎◎ CONICS *2 *2 × *2 DYNA × × × × E-CON2 ◎◎ ×× EQUATION ◎◎◎◎ FMEM ◎◎◎◎ @GEOM × × × × GMEM ...

  • Casio FX-CG20 - page 446

    CASIO 13-15 u Transferring Data from an Older Calculator Model to this Calculator Almost all data produced by an older model CASIO calculator can be transferred to this calculator (fx-CG10/fx-CG20). • Some data may be converted in order to make it compatible with this calculator’s specifications. Transferring Graph mode graph expression data (Y ...

  • Casio FX-CG20 - page 447

    CASIO 13-16 3. Connecting the Calculator to a Projector Y ou can connect the calculator to a CASIO projector and project calculator screen contents onto a screen. k Connectable Projectors (As of September 2010) XJ-A135, XJ-A145, XJ-A235, XJ-A245 u T o project calculator screen contents from a projector 1. Use the USB cable that comes with the calcu ...

  • Casio FX-CG20 - page 448

    CASIO 14-1 Chapter 14 Geometry 1. Geometry Mode Overview The Geometry mode allows you to draw and analyze geometric objects. From the Main Menu, enter the Geometry mode. k Geometry Mode Menus Unlike other modes, the Geometry mode does not have function menus along the bottom of the screen. Instead, it uses menus named [F1] through [F6] and [OPT], l ...

  • Casio FX-CG20 - page 449

    CASIO 14-2 k Menu Reference The following tables describe the menu items that appear on each of the Geometry mode menus. u 1 (File) To do this: Select this menu item: Create a new file 1:New Open a file 2:Open Save a file under a new name 3:Save as Display a list of functions assigned to each key 4:Key Help u 1 e (View) To do this: Select this menu ...

  • Casio FX-CG20 - page 450

    CASIO 14-3 u 3 (Draw) To do this: Select this menu item: Plot a point 1:Point Draw a line segment 2:Line Segment Draw a straight line 3:Infinite Line Draw a ray 4:Ray Draw a vector 5:Vector Draw a circle 6:Circle Draw an arc 7:Arc Draw a semi circle 8:SemiCirc (Diam) u 3 e (Draw Spec) To do this: Select this menu item: Draw a triangle 1:Triangle Dr ...

  • Casio FX-CG20 - page 451

    CASIO 14-4 u 5 (Transform) To do this: Select this menu item: Reflect an object 1:Reflection Translate an object by specified values 2:Translation Translate an object using an existing vector 3:Trans(Sel Vec) Rotate an object 4:Rotation Dilate an object 5:Dilation Rotate an object 180 degrees on a specified point 6:Symmetry u 6 (Animate) To do this ...

  • Casio FX-CG20 - page 452

    CASIO 14-5 u K (Option) e (Properties) To do this: Select this menu item: Move the selected object to the front 1:to the front Move the selected object to the back 2:to the back Move all text to the front 3:All TEXT Adjust the lightness of the background image 4:Fade I/O Save Geometry mode screen contents as an image (g3p File) 5:Store Picture k Us ...

  • Casio FX-CG20 - page 453

    CASIO 14-6 k Managing Geometry Mode Files This section explains how to save Geometry mode data to files, and how to manage your files. u To create a new file 1. Perform the following operation: 1 (File) – 1:New. • The following dialog box will appear if you have a drawing on the screen. 2. To clear the current drawing and create a new file, pre ...

  • Casio FX-CG20 - page 454

    CASIO 14-7 u To delete a file 1. Perform the following operation: 1 (File) – 2:Open. • This displays a menu of existing files. 2. Use c and f to move the highlighting to the file you want to delete and then press 1 (DELETE). • This causes a confirmation dialog box to appear. 3. Press 1 (Yes) to delete the selected file or 6 (No) to cancel the ...

  • Casio FX-CG20 - page 455

    CASIO 14-8 k Displaying a Geometry Mode Screen Background Image In the Geometry mode, you can open an image file (g3p) and use it as a background image for a Geometry mode drawing. • If you open a g3p file, draw something, and then save the result to a file, the g3p file will be saved along with the Geometry mode data. • After opening a backgro ...

  • Casio FX-CG20 - page 456

    CASIO 14-9 k Saving Current Screen Contents as an Image (g3p File) in the Geometry Mode You can save a Geometry mode screen shot as an image (g3p) file. The saved file includes current V-Window setting information. u To save current screen contents as an image in picture memory 1. While the screen you want to save is displayed, perform the followin ...

  • Casio FX-CG20 - page 457

    CASIO 14-10 k Key Functions The figure below shows the keys that are used for Geometry mode drawing screen operations. Displa ys menus. (P age 14-1) Selects an entire polygon. (V alid f or polygons only .) (P age 14-19) Displa ys K ey Help . (P age 14-5) Selects, deselects , e xecutes . Selects, deselects , e xecutes . Zooms in/out. (P age 14-37) U ...

  • Casio FX-CG20 - page 458

    CASIO 14-11 2. Drawing and Editing Objects This section explains how to perform the following operations. • Plot points, draw line segments, polygons, etc. ([F3](Draw) menu) • Select and deselect objects ([F2](Edit) menu) • For a drawn object, construct a perpendicular bisector, perpendicular, etc. ([F4](Construct) menu) • For a drawn objec ...

  • Casio FX-CG20 - page 459

    CASIO 14-12 u To add a labeled point to an existing line Note You can use the following procedure to add a labeled point to an existing line, to a side of a polygon, to the periphery of a circle, etc. 1. Perform the following operation: 3 (Draw) – 1:Point. 2. Move the pointer on the screen towards the line where you want to add the labeled point. ...

  • Casio FX-CG20 - page 460

    CASIO 14-13 u To draw an infinite line 1. Perform the following operation: 3 (Draw) – 3:Infinite Line. 2. Move the pointer to any location on the display and then press w . 3. Move the pointer to another location on the display and then press w . • This will draw a line that passes between the two points. u To draw a ray 1. Perform the followin ...

  • Casio FX-CG20 - page 461

    CASIO 14-14 u To draw a circle 1. Perform the following operation: 3 (Draw) – 6:Circle. 2. Move the pointer to the location on the display where you want the center point of the circle to be and then press w . 3. Move the pointer to the location on the display where you want the circumference of the circle to be and then press w . • This draws ...

  • Casio FX-CG20 - page 462

    CASIO 14-15 u To draw a semi circle 1. Perform the following operation: 3 (Draw) – 8:SemiCirc (Diam). 2. Move the pointer to the point you want to specify as one end of the semi circle diameter and then press w . 3. Move the pointer to the point you want to specify as the other end of the semi circle diameter. • In accordance with the pointer m ...

  • Casio FX-CG20 - page 463

    CASIO 14-16 4. Press w . • This draws a triangle. → • If the location of the pointer when you press w is very close to the point you specified in step 2, the triangle that is drawn will be the maximum size that fits in the screen. Note The same type of two-point selection boundary in the above procedure is also used when drawing an isosceles ...

  • Casio FX-CG20 - page 464

    CASIO 14-17 4. Press w . • This draws a rectangle or square. • If the location of the pointer when you press w is very close to the point you specified in step 2, the object that is drawn will be the maximum size that fits in the screen. Note In the case of a square, each side will be the length of the shorter side of the rectangle you specify ...

  • Casio FX-CG20 - page 465

    CASIO 14-18 u To draw a regular n-gon 1. Perform the following operation: 3 e (Draw Spec) – 6:Regular n-gon. • This displays a dialog box prompting you to specify the number of sides. 2. Input a value from 3 to 12 and then press w . 3. Perform steps 2 through 4 under “To draw a triangle” (page 14-15). • This will draw a regular n-gon usin ...

  • Casio FX-CG20 - page 466

    CASIO 14-19 k Selecting and Deselecting Objects Before you can edit (move or delete) an object or create a figure using an object, you first need to select part of it or all of it. This section explains how to select and deselect objects. u To select a particular object 1. If any tool icon is in the upper right corner of the screen, press J or o to ...

  • Casio FX-CG20 - page 467

    CASIO 14-20 3. Press x or perform the following operation: 2 (Edit) – 4:Select Figure. • This selects the entire object. u To deselect a particular object 1. If any tool icon is in the upper right corner of the screen, press J or o to deselect the tool. 2. Move the pointer close to the object you want to deselect. • This will cause the k mark ...

  • Casio FX-CG20 - page 468

    CASIO 14-21 k Specifying the Color and Line Type of a Displayed Object You can use the procedure below to specify the color and line type for the outline of a displayed figure, the fill color inside a figure, or the color of text, labels, and other non-figure objects. u To specify the color and line type of all the displayed objects 1. Perform the ...

  • Casio FX-CG20 - page 469

    CASIO 14-22 4. To apply the settings you configure, return to the dialog box in step 2 of this procedure and then press J . → u To specifying the color and line type of a particular object 1. Use the procedure under “Selecting and Deselecting Objects” (page 14-19) to select the object whose color and/or line type you want to specify. 2. Press ...

  • Casio FX-CG20 - page 470

    CASIO 14-23 u To construct a perpendicular 1. Draw a line segment, plot a point, and select the line and point. 2. Perform the following operation: 4 (Construct) – 2:Perpendicular. • This will draw a perpendicular to the selected line segment and passes through the selected point. → Note You can perform a perpendicular construct operation whi ...

  • Casio FX-CG20 - page 471

    CASIO 14-24 u To construct the point of intersection of two lines 1. Draw to intersecting line segments and select them. 2. Perform the following operation: 4 (Construct) – 4:Intersection. • This plots the point where the two line segments intersect. → Note You can construct the point of intersection of two lines while two of any of the follo ...

  • Casio FX-CG20 - page 472

    CASIO 14-25 u To construct a parallel 1. Draw a line segment, plot a point, and select the line and point. 2. Perform the following operation: 4 (Construct) – 6:Parallel. • This will draw an infinite line that is parallel to the selected line segment and passes through the selected point. Marks ( ) appear on both the line segment and the infini ...

  • Casio FX-CG20 - page 473

    CASIO 14-26 u To attach an angle measurement to a figure 1. Draw a triangle and select two of its sides. 2. Perform the following operation: 4 (Construct) – 8:Attached Angle. • This attaches the angle measurement to the figure. → • While the “Select Display Position” message is displayed, you can use the cursor keys to specify which ang ...

  • Casio FX-CG20 - page 474

    CASIO 14-27 5. Press w . • This reflects the object using the line segment as the axis. → → Note You can specify a line segment, line, ray, one side of a polygon, or the x -axis or y -axis as the axis of reflection. u To translate an object by specified values 1. Draw the object you want to translate. Here, we will use a triangle. 2. Perform ...

  • Casio FX-CG20 - page 475

    CASIO 14-28 4. Press w . • This will perform parallel translation of the original object in the direction of the vector you selected. → → Note If you select only part of an object before performing step 2 of the above procedure, only the selected part will be translated. u To rotate an object 1. Draw the object you want to rotate. Here, we wi ...

  • Casio FX-CG20 - page 476

    CASIO 14-29 5. Input a scale value in the range of 0.1 < | x | < 10 and then press w . • This will draw a resized version of the original object. → → Note • If you select only part of an object before performing step 2 of the above procedure, only the selected part will be dilated. • The following figure illustrates the meanings of ...

  • Casio FX-CG20 - page 477

    CASIO 14-30 k Undoing and Redoing an Operation The Undo command lets you undo the last operation you performed, while Redo lets you restore an operation you have undone. u To undo the last operation you performed Immediately after performing the operation you want to undo, press * or perform the following operation: 2 (Edit) – 1:Undo/Redo. Import ...

  • Casio FX-CG20 - page 478

    CASIO 14-31 2. Press v . • This causes the icon to appear in the upper right corner of the screen and the pointer to change from to . Also, a rectangle will enclose the object that you selected in step 1. One vertex selected One side selected Three sides selected 3. Use the cursor keys to move the object in the direction you want. • The rectang ...

  • Casio FX-CG20 - page 479

    CASIO 14-32 u To delete an object 1. Select the object you want to delete. • If you want to delete only one of the vertices of a triangle for example, select the vertex. To delete only one side of the triangle, select the side. 2. Press D or perform the following operation: 2 (Edit) – 5:Delete. • This deletes the selected object. u To delete ...

  • Casio FX-CG20 - page 480

    CASIO 14-33 3. Controlling the Appearance of the Geometry Window This section provides information about how to control the appearance of the screen by scrolling or zooming, and by showing or hiding axes and the grid. Important! Settings you configure on the Geometry mode Setup screen are applied in the Geometry mode only. Even if another mode has ...

  • Casio FX-CG20 - page 481

    CASIO 14-34 5. Use f and c to move the highlighting to “Axes” and then use the following operations to configure the settings you want. To select this setting: Press this key: Show on-screen axes 1 (On) Hide on-screen axes 2 (Off) Show on-screen axes and scale values 3 (Scale) 6. After the setting is the way you want, press J . k Specifying Ang ...

  • Casio FX-CG20 - page 482

    CASIO 14-35 k Configuring View Window Settings You can configure View Window settings to specify the coordinates of the screen’s left edge (Xmin) and right edges (Xmax). The length of the y -axis is configured automatically using a ratio of 1:2 ( y -axis: x -axis), but you can specify what part of the y -axis is in the middle of the screen (Ymid) ...

  • Casio FX-CG20 - page 483

    CASIO 14-36 4. To exit the Pan mode, press J . → Note In the Pan mode, each press of w toggles the shape of the pointer between and . While the pointer is displayed, you can use the cursor keys to move it to another location on the screen. Pressing the cursor keys while the pointer is displayed will shift (pan) the screen contents. u To scroll th ...

  • Casio FX-CG20 - page 484

    CASIO 14-37 u To zoom in and out To double the size of the displayed image, press + or perform the following operation: 1 e (View) – 4:Zoom In. To halve the size of the displayed image, press - or perform the following operation: 1 e (View) – 5:Zoom Out. u To zoom the screen image to fit the window area Press - or perform the following operatio ...

  • Casio FX-CG20 - page 485

    CASIO 14-38 3. Input up to 31 characters of text and then press w . • The text you input is inserted into the screen image at the location of the pointer. → 4. Now you can move the text to another location on the screen, if you want. • For details, see “To move an object” (page 14-30). → u To edit screen text 1. Select the text you want ...

  • Casio FX-CG20 - page 486

    CASIO 14-39 k Adding or Modifying a Label Label operations are explained in this section using a triangle. In the first example we modify an existing label, while in the second example we add a label to one side of the triangle. u To modify an existing label 1. On the triangle, select the vertex whose label you want to change. In this example we wi ...

  • Casio FX-CG20 - page 487

    CASIO 14-40 6. Input up to 14 characters for the label text and then press w . • This will modify the label. → 7. To close the measurement box, press J twice. u To add a new label 1. Select the side of the triangle to which you want to add the label. 2. Press J to display the measurement box. 3. Press d to highlight the up arrow button on the l ...

  • Casio FX-CG20 - page 488

    CASIO 14-41 5. Using the Measurement Box Pressing J displays a measurement box at the bottom of the screen as shown below. Measurement Box You can use the measurement box to perform the following operations. View the measurements of an object Displaying the measurement box and selecting an object displays combinations of the following measurements, ...

  • Casio FX-CG20 - page 489

    CASIO 14-42 The following table describes the information that appears when you highlight each icon, and explains when each icon is available for selection. Icon Icon Name This icon appears when this is selected: Highlighting this icon displays: Lockable Coordinates A single point Coordinates of the point Yes Distance/ length Two points on one obje ...

  • Casio FX-CG20 - page 490

    CASIO 14-43 Icon Icon Name This icon appears when this is selected: Highlighting this icon displays: Lockable Congruence Two line segments Whether the line segments are the same length Yes Incidence Point and a line, arc, circle or a vector Whether the point is on the line/curve Yes Rotation angle Two points created by the 5 – 4:Rotation command ...

  • Casio FX-CG20 - page 491

    CASIO 14-44 4. Select the icons on the icon palette to display other measurements. • In the case of the line segment, for example, you can view its length, slope, and equation. Slope Equation 5. To close the measurement box, press J twice. u To display the area of a rectangular area You can use the measurement box to display the area of a triangl ...

  • Casio FX-CG20 - page 492

    CASIO 14-45 Note A value that shows the area of an object whose lines intersect is indicated by double asterisks ( `` ) to the left of the value. This indicates that the value may not indicate the correct area. k Specifying a Measurement of an Object In the following examples, we specify the angle of a triangle and the length of one side of a trian ...

  • Casio FX-CG20 - page 493

    CASIO 14-46 Note • Performing step 5 in the above procedure not only changes the measurement value, it also locks the measurement. For details about locking and unlocking measurements, see “Locking or Unlocking a Measurement of an Object” (page 14-47). • Specifying a value can change an object in a way that is unexpected. If this happens, t ...

  • Casio FX-CG20 - page 494

    CASIO 14-47 k Locking or Unlocking a Measurement of an Object By “locking a measurement” we mean that the corresponding object cannot be moved. For example, if we lock a point to a circle and move the circle, the point will also move. u To lock or unlock a measurement The icon to the right of the measurement box indicates whether a measurement ...

  • Casio FX-CG20 - page 495

    CASIO 14-48 Note • Some measurements cannot be locked. For details, see the “Lockable” column in the table under “Viewing the Measurements of an Object” (page 14-41). u To unlock a particular measurement You can unlock a particular measurement by performing any one of the following operations. • If the icon to the right of the measureme ...

  • Casio FX-CG20 - page 496

    CASIO 14-49 k Pasting Measurements into a Screen Image You can use the procedures in this section to paste object measurements into the image on the screen. The measurements change dynamically as you manipulate the object. The following types of measurements can be pasted into a screen image: coordinates, distance/length, slope, equation, vector co ...

  • Casio FX-CG20 - page 497

    CASIO 14-50 5. Move the text to another location on the screen, if you want. • Press v and then use the cursor keys to move the pasted measurement around the screen. For details, see “To move an object” (page 14-30). → Note You can also paste the measurement that is currently in the measurement box into the screen image by pressing ! j (PAS ...

  • Casio FX-CG20 - page 498

    CASIO 14-51 3. Input up to 14 characters for the label type tag. • To delete the label type tag, press o . 4. Press w . • This changes the measurement, which is highlighted on the display. 5. To close the measurement box, press J twice. k Displaying the Result of a Calculation that Uses On-screen Measurement Values You can use the procedure in ...

  • Casio FX-CG20 - page 499

    CASIO 14-52 1. Perform the following operation: K (Option) – 2:Expression. • This will display “EXPR=” at the pointer location and display the measurement box. • The above will also display labels for each measurement currently on the screen. Labels 2. Now you can use the labels to specify measurement values in the calculation you input i ...

  • Casio FX-CG20 - page 500

    CASIO 14-53 k Calculation Using the Surface Area of Displayed Figures You can use the procedures in this section to perform calculations using the surface area of figures, and display both the expression and calculation results. For example, calculation of the sum of the surface areas of triangle ABC and triangle A’B’C’ can be displayed as sh ...

  • Casio FX-CG20 - page 501

    CASIO 14-54 4. Press + . 5. Press f to return the editing focus to the drawing screen from the measurement box, and then press e w to select the other triangle on the right side of the screen. • “@2 D A’B’C’ ” appears on the right triangle, and “@2” (the symbol for D A’B’C’) is input into the measurement box. 6. Press w . • ...

  • Casio FX-CG20 - page 502

    CASIO 14-55 k Specifying the Number Format of a Measurement You can specify the number format for each measurement on the screen. Note • The initial default number format is “Fix2”. For details about number formats, see “Specifying the Angle Unit and Display Format” (page 2-12). • Regardless of the current number format setting, integer ...

  • Casio FX-CG20 - page 503

    CASIO 14-56 6. Working with Animations An animation consists of one or more point/curve pairs, in which the curve can be a line segment, circle, semi circle, arc, or function. You build an animation by selecting a point/curve pair and then adding it to an animation. k Creating and Running an Animation u To add an animation and run it Example: To an ...

  • Casio FX-CG20 - page 504

    CASIO 14-57 Note • You can repeat the above procedure to create multiple points that move simultaneously. Try this: - Draw a line segment and plot another point. - Select the line segment and the point. - Repeat steps 2 and 3 above. Notice that both animations go at the same time! • To start a new animation, perform the procedure under “To re ...

  • Casio FX-CG20 - page 505

    CASIO 14-58 6. Input 90 into the measurement box by pressing ja w . • This makes the angle between line segments AB and DE 90 degrees, and locks it. 7. Press Jo to deselect all objects on the screen. 8. Select line segments DE and DC, and then press J . 9. Press d w to display the icon palette, move the highlighting to the icon, and then press w ...

  • Casio FX-CG20 - page 506

    CASIO 14-59 14. Perform the following operation: 6 (Animate) – 3:Trace. • This specifies point D (the one you selected in step 13) as the “trace point”. 15. Perform the following operation: 6 (Animate) – 5:Go (once). • This should cause a parabola to be traced on the display. Note that line segment AB is the directrix and point C is the ...

  • Casio FX-CG20 - page 507

    CASIO 14-60 When you want to do this: Perform this procedure: Specify the number of steps to be used as point E travels along line segment AB 1. Use c and f to move the highlighting on the Edit Animations screen to “Steps” and then press 1 (STEPS). → 2. On the dialog box that appears, input an integer from 2 through 100 and then press w . Spe ...

  • Casio FX-CG20 - page 508

    CASIO 14-61 When you want to do this: Perform this procedure: Delete the animation assigned to point E 1. Use c and f to move the highlighting on the Edit Animations screen to “E”, which is located under “Animations”. 2. Press 1 (DELETE). • This deletes the animation assigned to point E and causes “E” (along with the “t0” and “t ...

  • Casio FX-CG20 - page 509

    CASIO 14-62 k Generating an Animation Table Under default settings, an animation causes a specified point to move along a specified line segment, circle, or arc in 20 steps. You can configure the calculator to generate a table, called an “animation table”, which records the coordinates of each step, the length of the line segment, the area of t ...

  • Casio FX-CG20 - page 510

    CASIO 14-63 6. Use f to move the highlighting to [Add Table] and then press w . • This will display an animation table that shows the length of line segment CD at each step of the animation in a column labeled “Length”. 7. Press J to close the animation table screen. 8. Press J again to make the drawing screen active. 9. Select sides CD, DE, ...

  • Casio FX-CG20 - page 511

    CASIO 14-64 u To display the animation table To display the animation table you generated with the procedure under “To add columns to the animation table”, perform the following operation: 6 (Animate) – 8:Display Table. u To save an animation table column to a list 1. Display the animation table. 2. Use d and e to move the highlighting to the ...

  • Casio FX-CG20 - page 512

    CASIO 15-1 Chapter 15 Picture Plot Picture Plot is an application that lets you plot points (that represent coordinates) on a photograph, illustration, or other graphic and perform various types of analysis based on the plotted data (coordinate values). For example, the photograph below shows the nozzles of a fountain shooting thin streams of water ...

  • Casio FX-CG20 - page 513

    CASIO 15-2 • Add time values (T) to the coordinate values (X, Y) and plot points on the T-X plane or T-Y plane. This makes it possible to produce the mathematical expressions and graphs of the correlation between horizontal direction movement and time, and the correlation between vertical direction movement and time. Regression graph T-X regressi ...

  • Casio FX-CG20 - page 514

    CASIO 15-3 1. Picture Plot Function Menus k File List Screen Function Menu • { OPEN } ... Opens a g3p/g3b file or folder. • { DELETE } ... Deletes a g3p/g3b file. • { SEARCH } ... Searches for a g3p/g3b file. • { DETAIL } ... Displays the file DETAIL screen (page 11-6). k Picture Plot Screen Function Menu • { FILE } ... Displays the follo ...

  • Casio FX-CG20 - page 515

    CASIO 15-4 k Plot List Function Menu • { AXTRNS } ... Same as {AXTRNS} under “Picture Plot Screen Function Menu”. • { EDIT } ... Selects to edit the currently highlighted value on the plot list. • { DEL • BTM } ... Deletes the last line of data on the plot list. • { DEL-ALL } ... Deletes all of the data on the plot list. • { SET } . ...

  • Casio FX-CG20 - page 516

    CASIO 15-5 2. Managing Picture Plot Files Picture Plot requires the use of a background image file. The following types of image files can be opened by Picture Plot. g3p file ... A file that contains a single image. g3b file ... A file that contains multiple images. You can use an image file that is already built into the calculator, or you can use ...

  • Casio FX-CG20 - page 517

    CASIO 15-6 u Picture Plot Settings Saved to Image Files • Picture Plot settings that can be changed on the Setup screen are divided into two groups: settings that are saved in the image file and settings that are saved by the calculator. Item name Settings saved to the image file Settings saved by the calculator Axtrans Wind  * 1 Graph Func ? ...

  • Casio FX-CG20 - page 518

    CASIO 15-7 u To save a file under a different name 1. While the Picture Plot screen is displayed, press K 1 (FILE) 3 (SAVE • AS). • This displays a folder selection screen. 2. Specify the folder you want. • Highlight ROOT to save the file to the root directory. • To save the file in a specific folder, use f and c to move the highlighting to ...

  • Casio FX-CG20 - page 519

    CASIO 15-8 4. Repeat step 3 as many times as required to plot all of the points you want. • Here, you could press K 3 (EDIT), select a plot, and move it to another location. For details, see “To move a plot” (page 15-9). • You can plot up to 50 points in the case of a g3p file. For a g3b file, you can plot one point for each of the images c ...

  • Casio FX-CG20 - page 520

    CASIO 15-9 u To move a plot 1. While the Picture Plot screen is displayed, press K 6 ( g ) 3 (EDIT). • You also could press K 2 (Plot) K 3 (EDIT) instead. • This enters the plot editing mode with the pointer located at the first point that was plotted on the image. Plot T-value of pointer position (page 15-14) Plot number of pointer position To ...

  • Casio FX-CG20 - page 521

    CASIO 15-10 u To delete all plots Press K 6 ( g ) 4 (DELETE), and a confirmation dialog box will appear. Press 1 (Yes) to delete all of the plots. To cancel the delete operation, press 6 (No) instead. Note • In addition to using the plot list screen to delete all plots, you also can sequentially delete plots one-by-one, starting from the last poi ...

  • Casio FX-CG20 - page 522

    CASIO 15-11 3. Press the function key that corresponds to the type of regression calculation* 1 you want to perform. • To perform quadratic regression, for example, press 3 (X 2 ). This performs the regression calculation and displays the results.* 2 • You can press 5 (COPY) here to copy the obtained regression formula to the graph relation lis ...

  • Casio FX-CG20 - page 523

    CASIO 15-12 u To maneuver between the Picture Plot screen, AXTRANS screen, and plot list screen Once you display the plot list screen and AXTRANS screen (page 15-14), each press of !6 (G ⇔ T) cycles between the Picture Plot screen, AXTRANS screen, and plot list screen. k Adjusting the Lightness (Fade I/O) of an Image You can adjust the lightness ...

  • Casio FX-CG20 - page 524

    CASIO 15-13 4. Using the Plot List Each plot on the Picture Plot screen has coordinate value data. You can use the plot list to display and edit these coordinates. k Displaying Coordinate Values of Plots (Plot List) You can use the procedures in this section to display a list of plot coordinates (X, Y), and use the list to edit values, delete plot ...

  • Casio FX-CG20 - page 525

    CASIO 15-14 u Deleting the Last Plot Data Line Perform one of the following operations, depending on the type of cell that is currently highlighted. • If the X-value or Y-value of the last line of the plot list screen is selected, press 3 (DEL • BTM) once to delete the last line of plot data. • If the X-value or Y-value of any line besides th ...

  • Casio FX-CG20 - page 526

    CASIO 15-15 u To configure the time (T) value 1. While the plot list screen is displayed, press 5 (SET). 2. On the screen that appears, specify the start value and step value. • If you want to specify a start value of 1 and a step of 1.5, for example, press b w b. f w . 3. After the settings are the way you want, press w (or J ). • This returns ...

  • Casio FX-CG20 - page 527

    CASIO 15-16 Note • While the AXTRANS screen is displayed, the “Grid” setting on the Setup screen is always “Off”, while the “Label” setting is always “On”. For the “Axes” setting, you can select “On” or “Scale” only. If you try to select “Off” for this setting, it will change back to “On” automatically. • As ...

  • Casio FX-CG20 - page 528

    CASIO 15-17 (3) Compressed screen, maintaining aspect ratio • When (2) (no squeeze) is selected as the display mode, you can specify what part of the screen is cut off. To do so, press 2 (Cutout) and then use the d and e keys to move the boundary so it encloses the part of the screen you want to display. Finally, press w . → 3. When the display ...

  • Casio FX-CG20 - page 529

    CASIO 15-18 5. Common Functions with the Graph Mode On the Picture Plot screen, !1 to 5 function menu items are the same as those in the Graph mode. See the pages below for more information. • !1 (TRACE) ... “Reading Coordinates on a Graph Line” (page 5-52) • !2 (ZOOM) ... “Zoom” (page 5-8) • !3 (V-WIN) ... “V-Window (View Window) S ...

  • Casio FX-CG20 - page 530

    CASIO α -1 Appendix 1. Error Message T able • General calculation errors When you see this message: It means this: So you need to do this: Syntax ERROR • Illegal syntax • Attempt to input an illegal command Press J to displa y the error and make necessary corrections. Ma ERROR • Calculation result that e xceeds the calculation range . • ...

  • Casio FX-CG20 - page 531

    CASIO α -2 When you see this message: It means this: So you need to do this: Can’t Simplify F raction simplification was attempted using the ' Simp function (page 2-25), but simplification could not be perf or med using the specified divisor . Example: Specifying a divisor of 3 to simplify the fraction 4/8. Specify a diff erent divisor or e ...

  • Casio FX-CG20 - page 532

    CASIO α -3 • List and matrix calculation errors When you see this message: It means this: So you need to do this: Inv alid list or matrix Incorrect use of a list or matrix. Press J to displa y the error and make necessary corrections. Dimension ERROR Illegal dimension used during matr ix or list calculations. Check the matrix or list dimension. ...

  • Casio FX-CG20 - page 533

    CASIO α -4 • Graph, Dyna Graph, Table, Recursion, Conic Graphs mode errors When you see this message: It means this: So you need to do this: Range ERROR V -Window range settings e xceeded when a graph is redr awn. Redra w using the proper settings. No V ar iable No variable specified within a g raph function being used f or Dynamic Graph. Specif ...

  • Casio FX-CG20 - page 534

    CASIO α -5 • Statistics mode errors When you see this message: It means this: So you need to do this: Condition ERROR Y ou are attempting to display m ultiple statistical graphs of diff erent types. Press 1 (GRAPH) 4 (SELECT) to displa y the graph On/Off screen, and then select “Dra wOn” only for g raphs of the same type. Data in use • Y o ...

  • Casio FX-CG20 - page 535

    CASIO α -6 • Spreadsheet mode errors When you see this message: It means this: So you need to do this: Range ERROR The spreadsheet cell range w as e xceeded by paste , recall, or other cell operation. Repeat the procedure taking care that the cell range is not e xceeded. Circular ERROR There is a circular ref erence (such as “=A1” in cell A1 ...

  • Casio FX-CG20 - page 536

    CASIO α -7 • Memory mode errors When you see this message: It means this: So you need to do this: Memor y ERROR Operation or memory storage operation e xceeds remaining memor y capacity . • K eep the number of memories you use within the currently specified number of memories. • Simplify the data you are tr ying to store to keep it within th ...

  • Casio FX-CG20 - page 537

    CASIO α -8 When you see this message: It means this: So you need to do this: File System ERROR The calculator memor y file system is corrupted or the storage memor y f or mat is one that cannot be read by the calculator . After reading the inf or mation under “Impor tant!” below , perf or m an Initialize All oper ation as descr ibed in “Rese ...

  • Casio FX-CG20 - page 538

    CASIO α -9 • Data communication errors When you see this message: It means this: So you need to do this: Comple x Number in Data Data sent from a function of this calculator (matrix, etc.) includes comple x number data, b ut the corresponding function of the receiving calculator does not suppor t data that includes comple x numbers. Example: Att ...

  • Casio FX-CG20 - page 539

    CASIO α -10 • Geometry mode errors When you see this message: It means this: So you need to do this: First select a segment. Y ou are attempting to constr uct a per pendicular bisector without first selecting a line segment. Select the required object(s) and then tr y again. First select a line and point. Y ou are attempting to constr uct a per ...

  • Casio FX-CG20 - page 540

    CASIO α -11 When you see this message: It means this: So you need to do this: First configure animation settings. • Y ou are tr ying to run an animation without first configuring its settings. • Y ou are tr ying to e x ecute an Add T able command without first configuring animation settings. Configure animation settings and tr y again. Cannot ...

  • Casio FX-CG20 - page 541

    CASIO α -12 • Picture Plot mode errors When you see this message: It means this: So you need to do this: T oo many plots In the Picture Plot mode, the n umber of plots e xceeds the allow able upper limit. — • Setup errors When you see this message: It means this: So you need to do this: Out of Domain Attempting to input a v alue that is outs ...

  • Casio FX-CG20 - page 542

    CASIO α -13 • Other errors When you see this message: It means this: So you need to do this: No Data The specified data does not e xist. (Occurs when a list or v ar iable that does not contain data is ref erenced.) Change the data specification. No File Attempting to recall a file from Picture Memor y (1 through 20) when there is no file located ...

  • Casio FX-CG20 - page 543

    CASIO α -14 2. Input Ranges Function Input range for real number solutions Internal digits Precision Notes sin x cos x tan x (DEG) | x | < 9 × (10 9 )° (RAD) | x | < 5 × 10 7 π rad (GRA) | x | < 1 × 10 10 grad 15 digits As a rule, precision is ± 1 at the 10th digit.* How ev er , f or tan x : | x | ≠ 90(2 n +1): DEG | x | ≠ π /2 ...

  • Casio FX-CG20 - page 544

    CASIO α -15 Function Input range for real number solutions Internal digits Precision Notes ° ’ ” ← ⎯ ° ’ ” | a |, b , c < 1 × 10 100 0 < b , c 15 digits As a rule, precision is ± 1 at the 10th digit.* | x | < 1 × 10 100 Se xagesimal displa y: | x | < 1 × 10 7 ^( x y ) x > 0: –1 × 10 100 < y log x < 100 x = ...

  • Casio FX-CG20 - page 545

    CASIO E-Con2 Application (English) ...

  • Casio FX-CG20 - page 546

    CASIO 20100801 ε -1 E-Con2 Overview All of the explanations provided here assume that you are already familiar with the operating precautions, terminology, and operational procedures of the calculator and the EA-200. 1. E-Con2 Overview • From the Main Menu, enter the E-Con2 mode. E-Con2 Main Menu • The E-Con2 mode provides the functions listed ...

  • Casio FX-CG20 - page 547

    CASIO 20100801 20100801 ε -2 Using the Setup Wizard 2. Using the Setup Wizard This section explains how to use the Setup Wizard to configure the EA-200 setup quickly and easily simply by replying to questions as they appear. k Setup Wizard Parameters Setup Wizard lets you make changes to the following three EA-200 basic sampling parameters using a ...

  • Casio FX-CG20 - page 548

    CASIO 20100801 20100801 ε -3 Using the Setup Wizard 5. Select the options for the sensor you specified in step 4. Use the f and c cursor keys to move the highlighting to the option you want to select, and then press w . • If the “Input Total Sampling Interval” screen appears, advance to step 6. Important! When special settings are required b ...

  • Casio FX-CG20 - page 549

    CASIO 20100801 20100801 ε -4 Using the Setup Wizard 9. If there is no problem with the contents of the confirmation screen, press 1 . If you need to change the setup, press 6 or J . This will return to the screen in step 4 (for setting the total sampling interval), where you can change the setting. • Pressing 1 will take you to the final Setup W ...

  • Casio FX-CG20 - page 550

    CASIO 20100801 20100801 ε -5 Using the Setup Wizard k Using Setup Wizard to Configure a PhotoGate Setup Connection of a Vernier PhotoGate requires configuration of setup parameters that are slightly different from parameters for other types of sensors. • To configure a setup for PhotoGate alone 1. Perform the first two steps of the procedure und ...

  • Casio FX-CG20 - page 551

    CASIO 20100801 20100801 ε -6 Using the Setup Wizard k Outputting the Waveform of a Function through the Speaker Normally, the Setup Wizard helps you configure setups for sensors connected to the EA- 200. If you select [CASIO] - [Speaker] - [y=f(x)] on the “Select Sensor” screen, however, it configures the EA-200 to output the sound that corres ...

  • Casio FX-CG20 - page 552

    CASIO 20100801 20100801 ε -7 Using the Setup Wizard 9. Use the d and e cursor keys to move the cursor to the end point of the output, and then press w to register it. • After you specify the start point and end point, an output frequency dialog box shown below appears on the display. → 10. Input a percent value for the output frequency value y ...

  • Casio FX-CG20 - page 553

    CASIO 20100801 20100801 ε -8 Using Advanced Setup 3. Using Advanced Setup Advanced Setup provides you with total control over a number of parameters that you can adjust to configure the EA-200 setup that suits your particular needs. k Advanced Setup Operations • To configure an EA-200 setup using Advanced Setup The following procedure describes ...

  • Casio FX-CG20 - page 554

    CASIO 20100801 20100801 ε -9 Using Advanced Setup 6. After you configure a setup, you can use the function key operations described below to start sampling or perform other operations. • 1 (START) ..........Starts sampling using the setup (page ε -30). • 2 (MULTI) ...........Starts MULTIMETER mode sampling using the setup (page ε -23). • 3 ...

  • Casio FX-CG20 - page 555

    CASIO 20100801 20100801 ε -10 Using Advanced Setup 3. What you need to do next depends on the currently selected channel. • CH1, CH2, or CH3 Press a function key to display a menu of sensors that can be assigned to the selected channel. 1 (CASIO) ..............Displays a menu of CASIO sensors. 2 (VERNIR) ...........Displays a menu of Vernier sen ...

  • Casio FX-CG20 - page 556

    CASIO 20100801 20100801 ε -11 Using Advanced Setup Note • When you select a channel on the Channel Setup screen, the sampling range of the selected channel appears in the bottom line of the screen. In the above example, the range of the temperature sensor assigned to CH2 appears on the display. If the sampling range value is too long to fit on t ...

  • Casio FX-CG20 - page 557

    CASIO 20100801 20100801 ε -12 Using Advanced Setup • Note that the mode you select also determines the channel(s) you can use. Sampling Mode Selectable Channel(s) Real-time, Extended, Normal CH1, CH2, CH3, SONIC Fast CH1, Mic Sound Mic Clock, Period CH1 3. To change the sampling interval setting, move the highlighting to “Interval”. Next, pr ...

  • Casio FX-CG20 - page 558

    CASIO 20100801 20100801 ε -13 Using Advanced Setup Important! • When the following condition exists, an “FFT Graph” setting appears in place of the “Warm-up” setting. See “To configure the FFT Graph setting” below, for information about configuring the “FFT Graph” setting. - Sampling mode (page ε -11): Fast 6. After all the sett ...

  • Casio FX-CG20 - page 559

    CASIO 20100801 20100801 ε -14 Using Advanced Setup • To configure Trigger Setup settings 1. While the Advanced Setup menu (page ε -8) is on the display, press d (Trigger). • This displays the Trigger Setup screen with the “Source” line highlighted. • The function menu items that appears in the menu bar depend on the sampling mode select ...

  • Casio FX-CG20 - page 560

    CASIO 20100801 20100801 ε -15 Using Advanced Setup • To specify the countdown start time 1. Move the highlighting to “Timer”. 2. Press 1 (Time) to display a dialog box for specifying the countdown start time. 3. Input a value in seconds from 1 to 10. 4. Press w to finalize Trigger Setup and return to the Advanced Setup menu. • To specify m ...

  • Casio FX-CG20 - page 561

    CASIO 20100801 20100801 ε -16 Using Advanced Setup • To configure trigger threshold, trigger start edge, and trigger end edge settings Perform the following steps when “Period” is specified as the sampling mode (page ε -11). 1. Move the highlighting to “Threshold”. 2. Press 1 (EDIT) to display a dialog box for specifying the trigger thr ...

  • Casio FX-CG20 - page 562

    CASIO 20100801 20100801 ε -17 Using Advanced Setup • To specify the trigger threshold value and motion sensor level 1. Move the highlighting to “Threshold”. 2. Press 1 (EDIT) to display a dialog box for specifying the trigger threshold value, which is value that data needs to attain before sampling starts. 3. Input the value you want, and th ...

  • Casio FX-CG20 - page 563

    CASIO 20100801 20100801 ε -18 Using Advanced Setup 3. To change the trace operation coordinate display setting, use the f and c cursor keys to move the highlighting to “Coord”. Next, press one of the function keys described below. To specify this coordinate display setting for the trace operation: Press this key: Display trace coordinates 1 (O ...

  • Casio FX-CG20 - page 564

    CASIO 20100801 20100801 ε -19 Using a Custom Probe 4. Using a Custom Probe You can use the procedures in this section to configure a custom probe for use with the EA- 200. The term “custom probe” means any sensor other than the CASIO or Vernier sensors specified as standard for the E-Con2 mode. k Configuring a Custom Probe Setup To configure a ...

  • Casio FX-CG20 - page 565

    CASIO 20100801 20100801 ε -20 Using a Custom Probe • To recall the specifications of a Vernier sensor and configure custom probe settings 1. Perform the first two steps of the procedure under “To configure a custom probe setup” on page ε -19. 2. Press 5 (VERNIR). • This displays a Vernier sensor list. 3. Use the f and c keys to move the h ...

  • Casio FX-CG20 - page 566

    CASIO 20100801 20100801 ε -21 Using a Custom Probe 3. Press 2 (CALIB). • This will start the first sampling operation with the sensor connected to EA-200’s CH1, and then display a screen like the one shown below. First sampling operation Real-time display of sampled values 4. After the sampled value stabilizes, hold down w for a few seconds. ? ...

  • Casio FX-CG20 - page 567

    CASIO 20100801 20100801 ε -22 Using a Custom Probe k Zero Adjusting a Custom Probe This procedure zero adjusts a custom probe and sets its intercept value based on an actual sample using the applicable custom probe. • To zero adjust a custom probe 1. Connect the calculator and EA-200, and connect the custom probe you want to zero adjust to CH1 o ...

  • Casio FX-CG20 - page 568

    CASIO 20100801 20100801 ε -23 Using the MULTIMETER Mode 5. Using the MULTIMETER Mode You can use the Channel Setup screen (page ε -9) to configure a channel so that EA-200 MULTIMETER mode sampling is triggered by a calculator operation. • To use the MULTIMETER mode 1. Connect the calculator and EA-200, and connect the sensors you want to the ap ...

  • Casio FX-CG20 - page 569

    CASIO 20100801 20100801 ε -24 Using Setup Memory 6. Using Setup Memory Creating EA-200 setup data using the Setup Wizard or Advanced Setup causes the data to be stored in the “current setup memory area”. The current contents of the current setup memory area are overwritten whenever you create other setup data. You can use setup memory to save ...

  • Casio FX-CG20 - page 570

    CASIO 20100801 20100801 ε -25 Using Setup Memory k Using and Managing Setups in Setup Memory All of the setups you save are shown in the setup memory list. After selecting a setup in the list, you can use it to sample data or you can edit it. • To preview saved setup data You can use the following procedure to check the contents of a setup befor ...

  • Casio FX-CG20 - page 571

    CASIO 20100801 20100801 ε -26 Using Setup Memory • To change the name of setup data 1. On the E-Con2 main menu (page ε -1), press 2 (MEMORY) to display the setup memory list. 2. Use the f and c cursor keys to highlight the name of the setup you want. 3. Press 3 (RENAME). • This displays the screen for inputting the setup name. 4. Input up to ...

  • Casio FX-CG20 - page 572

    CASIO 20100801 20100801 ε -27 Using Program Converter 7. Using Program Converter Program Converter converts an EA-200 setup you configured using Setup Wizard or Advanced Setup to a program that can run on the calculator. You can also use Program Converter to convert a setup to a CFX-9850 Series/fx-7400 Series-compatible program.* 1 * 2 * 1 See the ...

  • Casio FX-CG20 - page 573

    CASIO 20100801 20100801 ε -28 Using Program Converter 3. Specify the scientific calculator model to be associated with the program. Perform one of the following key operations to associate the program with a scientific calculator. To associate the program with this calculator: Perform this key operation: fx-9860 Series 1 (CALC) 1 (9860) CFX-9850 S ...

  • Casio FX-CG20 - page 574

    CASIO 20100801 20100801 ε -29 Using Program Converter 7. Enter up to eight characters for the password. • If you change your mind about assigning a password, press J here. This will cause the password input field to disappear and cancel password input. 8. After everything is the way you want, press w to convert the program in accordance with the ...

  • Casio FX-CG20 - page 575

    CASIO 20100801 20100801 ε -30 Starting a Sampling Operation 8. Starting a Sampling Operation This section describes how to use a setup configured using the E-Con2 mode to start an EA-200 sampling operation. k Before getting started... Be sure to perform the following steps before starting sampling with the EA-200. 1. Connect the calculator to the ...

  • Casio FX-CG20 - page 576

    CASIO 20100801 20100801 ε -31 Starting a Sampling Operation 2. Press w . • This sets up the EA-200 using the setup data in the current setup memory area. • The message “Setting EA-200...” remains on the display while EA-200 setup is in progress. You can cancel the setup operation any time this message is displayed by pressing A . • The s ...

  • Casio FX-CG20 - page 577

    CASIO 20100801 20100801 ε -32 Starting a Sampling Operation • The screen shown belo w appears when CH1, SONIC , or Mic is used as the tr igger . Pressing 1 adv ances to “4. Graphing”. Pressing w there returns to “3. Sampling”. Sampled values are sa ved as Current Sample Data. Graph screen does not show all sampled v alues, but only a par ...

  • Casio FX-CG20 - page 578

    CASIO 20100801 20100801 ε -33 Using Sample Data Memory 9. Using Sample Data Memory Performing an EA-200 sampling operation from the E-Con2 mode causes sampled results to be stored in the “current data area” of E-Con2 memory. Separate data is saved for each channel, and the data for a particular channel in the current data area is called that c ...

  • Casio FX-CG20 - page 579

    CASIO 20100801 20100801 ε -34 Using Sample Data Memory 4. Enter up to 18 characters for the data file name, and then press w . • This displays a dialog box for inputting a memory number. 5. Enter a memory number in the range of 1 to 99, and then press w . • This saves the sample data at the location specified by the memory number you input. Th ...

  • Casio FX-CG20 - page 580

    CASIO 20100801 20100801 ε -35 Using the Graph Analysis Tools to Graph Data 10. Using the Graph Analysis Tools to Graph Data Graph Analysis tools make it possible to analyze graphs drawn from sampled data. k Accessing Graph Analysis Tools You can access Graph Analysis tools using either of the two methods described below. • Accessing Graph Analys ...

  • Casio FX-CG20 - page 581

    CASIO 20100801 20100801 ε -36 Using the Graph Analysis Tools to Graph Data k Selecting an Analysis Mode and Drawing a Graph This section contains a detailed procedure that covers all steps from selecting an analysis mode to drawing a graph. Note • Step 4 through step 7 are not essential and may be skipped, if you want. Skipping any step automati ...

  • Casio FX-CG20 - page 582

    CASIO 20100801 20100801 ε -37 Using the Graph Analysis Tools to Graph Data 3. Press 2 (DATA). • This displays the Sampling Data List screen. 4. Specify the sampled data for graphing. a. Use the f and c cursor keys to move the highlighting to the name of the sampled data file you want to select, and then press 1 (ASSIGN) or w . • This returns t ...

  • Casio FX-CG20 - page 583

    CASIO 20100801 20100801 ε -38 Using the Graph Analysis Tools to Graph Data b. Use the function keys to specify the graph style you want. To specify this graph style: Press this key: Line graph with dot ( • ) data markers 1 ( ) Line graph with square (  ) data markers 2 ( ) Line graph with X ( × ) data markers 3 ( ) Scatter graph with dot ( ? ...

  • Casio FX-CG20 - page 584

    CASIO 20100801 20100801 ε -39 Graph Analysis Tool Graph Screen Operations 11. Graph Analysis Tool Graph Screen Operations This section explains the various operations you can perform on the graph screen after drawing a graph. You can perform these operations on a graph screen produced by a sampling operation, or by the operation described under ? ...

  • Casio FX-CG20 - page 585

    CASIO 20100801 20100801 ε -40 Graph Analysis Tool Graph Screen Operations Key Operation Description K 5 (Y=fx) Displays the graph relation list, which lets you select a Y=f(x) graph to overlay on the sampled result graph. See “Overlaying a Y=f(x) Graph on a Sampled Result Graph” on page ε -45. K 6 (SPEAKER) Starts an operation for outputting ...

  • Casio FX-CG20 - page 586

    CASIO 20100801 20100801 ε -41 Graph Analysis Tool Graph Screen Operations 3. Move the trace pointer to the end point of the range whose periodic frequency you want to obtain. • This causes the period and periodic frequency value at the start point you selected in step 2 to appear along the bottom of the screen. 4. Press w to assign the period an ...

  • Casio FX-CG20 - page 587

    CASIO 20100801 20100801 ε -42 Graph Analysis Tool Graph Screen Operations 3. Press w . • This causes the magnifying glass to disappear and enters the zoom mode. • The cursor keys perform the following operations in the zoom mode. To do this: Press this cursor key: Enlarge the graph image horizontally e Reduce the size of the graph image horizo ...

  • Casio FX-CG20 - page 588

    CASIO 20100801 20100801 ε -43 Graph Analysis Tool Graph Screen Operations 5. After everything is the way you want, press w . • This saves the lists and the message “Complete!” appears. Press w to return to the graph screen. • For details about using list data, see Chapter 3 of this manual. Note • Pressing 1 (All) in place of 2 (SELECT) i ...

  • Casio FX-CG20 - page 589

    CASIO 20100801 20100801 ε -44 Graph Analysis Tool Graph Screen Operations 5. Input a value in the range of 1 to 99, and then press w . • This displays a dialog box for inputting the degree of the Fourier series. 6. Input a value in the range of 1 to 10, and then press w . • The graph relation list appears with the calculation result. 7. Pressi ...

  • Casio FX-CG20 - page 590

    CASIO 20100801 20100801 ε -45 Graph Analysis Tool Graph Screen Operations • To perform quadratic regression 1. On the graph screen, press K , and then 4 (CALC). • The CALC menu appears at the bottom of the display. 2. Press 5 (X 2 ). • This displays the trace pointer for selecting the range on the graph. 3. Move the trace pointer to the star ...

  • Casio FX-CG20 - page 591

    CASIO 20100801 20100801 ε -46 Graph Analysis Tool Graph Screen Operations k Working with Multiple Graphs The procedures in this section explain how you can zoom or move a particular graph when there are multiple graphs on the display. • To zoom a particular graph on a multi-graph display 1. When the graph screen contains multiple graphs, press K ...

  • Casio FX-CG20 - page 592

    CASIO 20100801 20100801 ε -47 Graph Analysis Tool Graph Screen Operations 5. Press w . • This causes the magnifying glass to disappear and enters the zoom mode. • The cursor keys perform the following operations in the zoom mode. To do this: Press this cursor key: Enlarge the graph image horizontally e Reduce the size of the graph image horizo ...

  • Casio FX-CG20 - page 593

    CASIO 20100801 20100801 ε -48 Graph Analysis Tool Graph Screen Operations k Outputting a Specific Range of a Graph from the Speaker Use the following procedure to output a specific range of a sound data waveform graph from the speaker. • To output a graph from the speaker 1. On the graph screen, press K , and then 4 (SEAPKER). • This displays ...

  • Casio FX-CG20 - page 594

    CASIO 20100801 20100801 ε -49 Graph Analysis Tool Graph Screen Operations 8. If you want to retry output from the speaker, press 1 (Yes). To exit the procedure and return to the graph screen, press 6 (No). • Pressing 1 (Yes) returns to the “Output Frequency” dialog box. From there, repeat the above steps from step 4. k Configuring View Windo ...

  • Casio FX-CG20 - page 595

    CASIO 20100801 20100801 ε -50 Calling E-Con2 Functions from an eActivity 12. Calling E-Con2 Functions from an eActivity You can call E-Con2 functions from an eActivity by including an “Econ strip” in the eActivity file. The following describes each of the four available Econ strips. • Econ SetupWizard strip This strip calls the E-Con2 Setup ...

  • Casio FX-CG20 - page 596

    CASIO 20100801 20100801 ε -51 Calling E-Con2 Functions from an eActivity 3. Use f and c to move the highlighting to the type of Econ strip you want to insert. • See the beginning of this section (page ε -50) for details about each Econ strip type. 4. Press w . • The strip is inserted above the line or the strip where the cursor is currently l ...

  • Casio FX-CG20 - page 597

    CASIO 20100801 20100801 ε -52 Calling E-Con2 Functions from an eActivity 3. Perform the procedure under “To configure an EA-200 setup using Setup Wizard” (page ε -2) from step 3 to set up the EA-200 and execute sampling. Note • In the case of the Econ SetupWizard strip, only the “1: Start Setup” is available on the “Complete!” dialo ...

  • Casio FX-CG20 - page 598

    CASIO 20100801 20100801 ε -53 Calling E-Con2 Functions from an eActivity • To execute sampling from an Econ Sampling strip 1. On the eActivity workspace screen, use the f and c keys to move the highlighting to the Econ Sampling strip. 2. Press w . • This displays a sampling start confirmation screen. • If this is the first time you are using ...

  • Casio FX-CG20 - page 599

    CASIO 20100801 20100801 ε -54 Calling E-Con2 Functions from an eActivity • To graph sampled data from an Econ Graph strip 1. On the eActivity workspace screen, use the f and c keys to move the highlighting to the Econ Graph strip. 2. Press w . • If this Econ Graph strip already has sampled data registered to it because of a previous execution, ...

  • Casio FX-CG20 - page 600

    CASIO Manuf acturer : CASIO COMPUTER CO ., L TD . 6-2, Hon-machi 1-chome Shibuy a-ku, T okyo 151-8543, Japan Responsible within the European Union: CASIO EUROPE GmbH Casio-Platz 1 22848 Norderstedt, Germany This mark applies in EU countr ies only . ...

  • Casio FX-CG20 - page 601

    CASIO CASIO COMPUTER CO., L TD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan One or more of the following patents may be used in the product. U.S.Pats. 5,166,897 5,210,708 5,535,317 5,539,867 5,739,823 SA 100 8 -A ...

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Documents that we receive from a manufacturer of a Casio FX-CG20 can be divided into several groups. They are, among others:
- Casio technical drawings
- FX-CG20 manuals
- Casio product data sheets
- information booklets
- or energy labels Casio FX-CG20
All of them are important, but the most important information from the point of view of use of the device are in the user manual Casio FX-CG20.

A group of documents referred to as user manuals is also divided into more specific types, such as: Installation manuals Casio FX-CG20, service manual, brief instructions and user manuals Casio FX-CG20. Depending on your needs, you should look for the document you need. In our website you can view the most popular manual of the product Casio FX-CG20.

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A complete manual for the device Casio FX-CG20, how should it look like?
A manual, also referred to as a user manual, or simply "instructions" is a technical document designed to assist in the use Casio FX-CG20 by users. Manuals are usually written by a technical writer, but in a language understandable to all users of Casio FX-CG20.

A complete Casio manual, should contain several basic components. Some of them are less important, such as: cover / title page or copyright page. However, the remaining part should provide us with information that is important from the point of view of the user.

1. Preface and tips on how to use the manual Casio FX-CG20 - At the beginning of each manual we should find clues about how to use the guidelines. It should include information about the location of the Contents of the Casio FX-CG20, FAQ or common problems, i.e. places that are most often searched by users in each manual
2. Contents - index of all tips concerning the Casio FX-CG20, that we can find in the current document
3. Tips how to use the basic functions of the device Casio FX-CG20 - which should help us in our first steps of using Casio FX-CG20
4. Troubleshooting - systematic sequence of activities that will help us diagnose and subsequently solve the most important problems with Casio FX-CG20
5. FAQ - Frequently Asked Questions
6. Contact detailsInformation about where to look for contact to the manufacturer/service of Casio FX-CG20 in a specific country, if it was not possible to solve the problem on our own.

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