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133

GRAPHING FUNCTIONS

1. Press 

Ï

 

.

The substitution graph screen will appear. The equation

on which the cursor pointer is located and its variables

are displayed on the right of the screen.

If variables (characters) contain no values, the graph is

not drawn.

If independent memories A to C contain any numeric values, the graph is drawn

based on these values.

*

If the equation (in this example, Y1) on which the cursor is located contains no variables, the

substitution graph screen will not appear.

2. Press 2 

®

. (2 is input to A.)

The graph for “Y1 = 2X

2

” is drawn. (Since B and C have

no values, they are ignored.)

At this time, the graph for Y2 is also drawn. Y2 also

uses variable A which is used in Y1. Therefore, the

drawing of the graph for Y2 is also valid.

*

If you need to draw only the graph for Y2, it is necessary to change variables (characters) or

make the graph drawing invalid.

3. Press 1 

®

. (1 is input to B.)

The graph is changed from “Y1 = 2X

2

” to “Y1 = 2X

2

 +

1X”.

4. Press 

—

 3 

®

. (-3 is input to C.)

Now, the graph for “Y1 = 2X

2

 + 1X – 3” is drawn on the

screen.

B

C

C

B

A

EL-9650-(04)En (079-134)

8/7/00, 9:08 PM

133

Summary of Contents for EL-9650

Page 1: ...ORPORATION 00BUP TINSE0397THZZ PRINTED IN CHINA IMPRIMÉ EN CHINE GRAPHING CALCULATOR OPERATION MANUAL for US MODEL EL 9650 GRAPHING CALCULATOR EL 9650 ...

Page 2: ...EC med tillæg nr 93 68 EEC Quest apparecchio è conforme ai requisiti della direttiva 89 336 EEC come emendata dalla direttiva 93 68 EEC 89 336 93 68 Este equipamento obedece às exigências da directiva 89 336 CEE na sua versão corrigida pela directiva 93 68 CEE Este aparato satisface las exigencias de la Directiva 89 336 CEE modificada por medio de la 93 68 CEE Denna utrustning uppfyller kraven enl...

Page 3: ...erial SHARP strongly recommends that separate permanent written records be kept of all important data Data may be lost or altered in virtually any electronic memory product under certain circumstances Therefore SHARP assumes no responsibility for data lost or otherwise rendered unusable whether as a result of improper use repairs defects battery replacement use after the specified battery life has...

Page 4: ...n Math Operations 10 3 Changing Entered Characters and Expressions 11 4 Correcting Errors 12 5 Using Functions 13 6 Using Secondary Functions 2ndF and Alphabet Letters ALPHA 14 1 Using secondary functions 2ndF 14 2 Entering alphabet letters 14 7 Using Menus 15 8 Operating Modes 18 9 Precedence of Calculations 19 10 SET UP Menu 20 1 Checking SET UP contents 20 2 SET UP menu 20 11 Edit Modes 25 1 Eq...

Page 5: ...culations 49 2 Function Calculations 51 1 Input examples of functions accessible directly from keys 52 2 Functions selected from menus MATH menu 53 3 Binary Octal and Hexadecimal Calculations 63 1 Binary octal decimal and hexadecimal numbers 63 2 Decimals shown as binary octal and hexadecimal numbers 63 3 Binary octal decimal and hexadecimal conversion 64 4 Binary octal and hexadecimal calculation...

Page 6: ...phs 87 9 CALC functions See page 117 for details 87 10 Shading 88 11 Displaying tables See page 121 for details 90 12 Split screen 91 4 Parametric Graphing 92 5 Polar Coordinate Graphs 93 6 Sequence Graphing 95 7 FORMAT Setting 97 8 Entering Functions 98 9 Zoom Functions 100 10 Selecting a Line Type for a Graph 103 11 Setting a Window 104 12 Draw Operations 106 1 Draw menu configuration 106 13 CAL...

Page 7: ...8 3 Entering statistical data 159 4 Calculating statistics CALC menu 160 5 Editing statistical data 162 6 Graphing statistical data 163 7 Explanation of graph types 166 8 Specifying statistical graph and graph functions 168 9 Trace function of statistical graphs 169 10 Data list operation function B OPE 170 2 Regression 172 3 Statistic Testing 178 4 Distribution Function 190 CHAPTER 8 FINANCIAL FU...

Page 8: ...e Original Slide Show 226 1 Changing the order of the screens MOVE 226 2 Deleting the registered screen DEL 227 3 Renaming the registered title RENAME 228 CHAPTER 11 SHIFT CHANGE FUNCTIONS 229 1 SHIFT Function 229 2 CHANGE Function 236 CHAPTER 12 PROGRAMMING FUNCTION 239 1 Creating a New Program 239 2 Programming 240 3 Program Input and Edit 240 4 Variables 241 5 Programming Commands 243 1 A PRGM ...

Page 9: ... 2 Data communication between the EL 9650 and a Personal computer 263 5 Reset Function 263 1 When trouble occurs 264 APPENDIX 265 1 Replacing the Batteries 265 1 Battery precautions 265 2 Replacing the operating batteries 265 3 Replacing the memory backup battery 266 2 Specifications 267 3 Error Codes and Error Messages 270 4 Calculation Equation Error Conditions Used by This Unit 272 1 Financial ...

Page 10: ...viii ...

Page 11: ...ry function printed in yellow GSecondary function specification 2nd F key H Alphabet specification key I Normal function calculation screen selection key JGraphing keys 1 Names of Parts GETTING STARTED SPACE ENTRY COMMUNICATION PORT COMMUNICATION PORT EXE L2 L3 L1 L4 L5 L6 u v w LIST LIST FI FINANC NCE OPT PTION RCL QUI UIT SET UP INS TOOL sin OFF PRGM DRAW SOLVER CLIP SPLIT TBLSET SUB FORMAT CALC...

Page 12: ...o the previous screen This key is also used when clearing errors 6Alphabet key Used with Åto enter letters 7Reset switch Used when replacing batteries or when errors occur Caution is required since all memory contents will be deleted when pressing the reset switch 8Calculation execution key Used when specifying calculation commands and executing calculations 9Peripheral connection terminal Termina...

Page 13: ...124 The user can move graph curves and change formats directly with a touch of a pen For details see page 229 Draws a graph using the formula inputted in 3 Explanation of Keys Most keys have more than two functions To use a function printed on a key simply press the button To specify a function secondary function printed in yellow above a key or on the upper left press Ïfirst To specify a function...

Page 14: ...GETTING STARTED 4 4 Using the Protective Cover CAUTION Be careful not to drop the touch pen when removing the unit from its protective cover To open the cover When in use When not in use ...

Page 15: ...is inserted completely and a snapping sound is heard The unit is automatically reset when closing the battery cover The display WAIT will appear while the unit initializes settings Since the cover also functions as a reset switch power will not turn on unless the cover is attached 2 Insert batteries as shown in the diagram to the right Be careful to insert the batteries in the correct direction Do...

Page 16: ...tor has been cleared Move to the standard function calculation screen by pressing any key The message shown to the right may appear when not performing the above procedure To prevent loss of data etc reset the calculator by following the procedure indicated above 3 Adjusting the contrast Display contrast may vary with the ambient temperature and remaining battery power Adjust accordingly for the b...

Page 17: ...here is no operation for a period of approximately 10 minutes to save battery consumption the time varies by a few minutes according to use This function will not operate while executing calculations flashing on the upper right side of the screen 6 Inserting and Removing the Touch pen It is possible to store the touch pen on the side of the main unit when not in use ...

Page 18: ...a car dashboard or near a heater and avoid exposing it to excessively humid or dusty environ ments Since this product is not waterproof do not use it or store it where fluids for example water can splash onto it Raindrops water spray juice coffee steam perspiration etc will also cause malfunction Clean with a soft dry cloth using no solvents Do not use a sharp pointed object or exert too much forc...

Page 19: ...t up functions mode settings 1 Entering Numeric Values The number keys 0to 9 and and are used to enter numeric values Example To enter 356 25 Press 356 25 To enter an exponent use Ï Example To enter 36 1015 Press 36 Ï 15 To enter a negative number press before entering the number Using to enter a negative number generates an error is used only for subtraction Example To enter 25 34 Press 25 34 CHA...

Page 20: ...d calculator for calculations using common math operations Example To obtain the answer of 100 256 2 85 9 Press 100 256 j2 85 9 Press to execute the calculation The result of the calculation appears on the right side of the display below the expression The display does not include an equal sign ...

Page 21: ...ted Ú moves the cursor backward Each time Úis pressed the cursor moves one space to the left and deletes the character or expression entered in that location Ï after pressing these keys a character or expression can be inserted to the left side of the cursor When the one line edit mode is selected When the INSERT mode is selected the cursor changes to the symbol When the INSERT mode is selected th...

Page 22: ...Use to clear the error The display will return to the primary screen The entered expression will be deleted Example B This display indicates that a memory error has occurred To correct it follow the procedure below Use or to clear the error The entered expression will be deleted Example C When any error except one described above occurs follow the procedure below Use or to move the cursor to the e...

Page 23: ... Functions The following shows an example of a calculation using functions that are directly accessible from the keys functions indicated on keys and secondary functions Example To obtain the answer of 32 1 Press 12 Ï 275 j3 2 Press ...

Page 24: ... include function entries menu screen display and mode settings Example To obtain the answer sin 1 0 5 Angle mode Radian Press Ïz 5 Secondary function of sin key 2 Entering alphabet letters Example To enter A123BCDθ ÅA 1 2 3 Ï B C D θ Press Ï to set to the ALPHA LOCK mode In this mode alphabet letters can be entered continuously from the keyboard To change from the ALPHA LOCK mode to the normal mo...

Page 25: ...ighlighted function or mode name not the alphabet letter or number is currently selected In the above example A CALC is currently selected In the A CALC sub menu however the number indications are highlighted This indicates that no function is currently selected The sub menu shows items 01 to 12 The symbol indicates that there are more items that are not currently shown on the screen To see how ma...

Page 26: ...items below end of the page There are 20 sub menu items in the A CALC menu The following diagram shows the main menu and sub menu structure described above There are three ways to select a menu 1Use and to move the cursor and highlight the selected function and press 2Enter the letter A B etc or number of the selected menu to directly access the menu There is no need to press Å 3Select a menu item...

Page 27: ...d before the menu screen appeared is not necessary when pressing 5of procedure 3 In this calculator functions are grouped and stored in menus This allows the many functions to be used easily 1 Press to open the MATH menu 2 Press B or select B NUM using or the touch pen Example To use the int function to obtain a whole number The int function is in the B NUM sub menu of the MATH menu ...

Page 28: ...ode are related in a complex manner For example equation input and are related However a vertical line is not drawn on the flow chart This is to show the horizontal relationship modes that have the most influence in the most simple way To view the flow chart SLIDE SHOW is unrelated to the SET UP menu The normal function calculation mode is influenced heavily by the SET UP settings The style of in ...

Page 29: ...mitted commands immediately before variables such as π or stored memory and 2π 2A etc 6Single calculation functions that are irnmediately after a numerical value sin cos tan sin 1 cos 1 tan 1 log 10x In ex abs int ipart fpart not neg etc 7Multiplication with omitted commands immediately before a single calculation function that follows a numerical value 3 cos 20 etc 8Permutation combined functions...

Page 30: ...ide of the screen when selecting A are the current settings A is highlighted and current settings are displayed when entering the SET UP mode In this case it is not necessary to press A 2 SET UP menu The above display will appear when Ï are pressed Since item A of the main menu is used for displaying the current settings the menus that can be set are B through G with sub menus for each The functio...

Page 31: ... set for the first time Rad is already highlighted when moving the cursor pointer from the main menu to the sub menu This is because Rad is the default setting 5 Return to the normal function calculation screen by pressing or 6 Press s Ïπ 4 Now try the same calculation in the Deg mode 1 Press Ï 2 Press Bor touch the B DRG display using the touch pen 3 Press 1or touch the 1 Deg twice Now the Deg mo...

Page 32: ...specified in D TAB which is described later D TAB Specifies the number of decimals default setting 9 TAB 0 to 9 can be set from submenu options Example Set to TAB 2 in the Sci mode then execute 1 3 1 Press Clear the display screen completely 2 Press Ï 3 Press Cor touch C FSE using the touch pen 4 Touch 3 Sci Now the method for displaying results is set 5 Press Dor touch D TAB 6 Touch 2 2 7 Return ...

Page 33: ... with an identical key the unit will produce different screens according to the SET UP settings Formula input screen of rectangular coordinates F ANSWER Used to set the display method and mode of results default setting Decimal Real 1 Decimal real Displays results using decimals real number mode 2 Mixed real Displays results using mixed fractions real number mode 3 Improp real Displays results usi...

Page 34: ...3 Press Ï 4 Press For touch F ANSWER with the touch pen 5 Press 3or touch 3 Improp real twice 6 Return to the normal function calculation screen by pressing The answer is shown using fractions as in the formula G EDITOR Used to set the input method of numerical formulas default setting Equation 1 Equation Used to set to the mode where formulas can be input as they appear 2 One line Used to set to ...

Page 35: ...de is slower than that of the one line edit mode due to extra internal processing 1 Equation edit mode Expressions are displayed two dimensionally in commonly used mathematical expres sions In the equation edit mode expressions up to 114 bytes can be entered and the display shows up to 8 lines of an expression and a calculation result It is not possible to input an expression exceeding this limit ...

Page 36: ...ng a new expression or making a correction the cursor changes into one of the following four types depending on the input position _ Indicates the location where a new entry can be made Blank space on the right of the cursor Cursor that appears when inserting Insertions of text and functions are made to the left of the cursor flashing Indicates a cursor that allows insertion of a character or func...

Page 37: ...ter the expression and move the cursor SET UP F and G setting Mixed Real and Equation Press 1 3 2 5 When the key is pressed the calculation result is displayed The cursor cannot be moved back to the expression with or Insert 2 Insert 4 j ...

Page 38: ...28 CHAPTER 1 Example Here we will input first and then and move the cursor 1 Press 5 7 4 Press 3 Ï 7 5 2 Press 5 Press 3 Press 1 1 is inserted 6 Press 2 j 2 is inserted ...

Page 39: ...hen inputting integrals will also disappear if an argument is input Example Press 1 5 6 Input These parentheses are automati cally placed Press 1 2 Press 1 52 Input Input Parentheses are automatically placed when inputting structured functions such as x2 x 1 ab etc with the exception of abs The following eight types of functions are enclosed within parentheses a b ex x2 x 1 ab dx integral function...

Page 40: ...5 6 3 5ex Ï 2 610x Ï 5 7abs B1 3 6 1a b 5 2 2 3 Ï 1 2 1 Examples for inputting structured functions are shown below For all other functions the operation will be the same as the one line input method 8 dx integral A060 3 5 A07 ...

Page 41: ...gits and signs are displayed Example To obtain the answer of SET UP B to F settings Deg Float Pt 0 Rect and Decimal Real 1 Press Ï G2to set to the one line edit mode The settings can also be made from the menu by using the cursor keys or pen touch 2 Return the display to the primary screen by pressing 3 Press Ï 3 2 3 Ï 2 4 6 3 3 Each line can contain up to 22 digits and signs The portion of an ent...

Page 42: ...function calculation mode and input screen MATRIX screen etc 2 The cursor of 1will change to this flashing cursor when entering the numerical formula edit mode 3 The flashing insert cursor appears when entering the insert mode by pressing the while editing numerical formulas insertions are made to the left of the cursor 4 This cursor appears while editing numerical formulas that have been input as...

Page 43: ...are two lines or more In the input screen for as is formulas it is possible to move the cursor between arguments of fractions exponents and integral functions It is also possible to move the cursor vertically in the main menu and sub menu of the menu screen 3 Jumping Ï Ï Ï Ï It is possible to jump to the top line or the end by pressing Ïbefore using the cursor movement keys Press Ï to jump to the ...

Page 44: ...he unit or select the reset function in the menu Take care since resetting the unit will delete all memory data 2 Using the reset switch The reset switch is located on the back of the unit 1 Press the reset switch on the set screen Use the enclosed touch pen to press the reset switch Do not use sharp points such as mechanical pencils as this may damage the switch 2 The screen shown on the right wi...

Page 45: ...ting contents etc There are two types of resetting default set This reset function initializes only the settings but does not delete the memory All memory This reset function initializes the memory contents and settings Deletion of all set memory 1 Press ÏqE 2 Press 2 3 Press Press any key to return to the normal function calcula tion screen Initializing settings 1 Press ÏqE1 2 Press ...

Page 46: ...36 CHAPTER 1 ...

Page 47: ...ry such as selecting menus changing screens moving the trace cursor etc by touching the screen with the attached pen This function is valid for most screens however this function will not operate on some screens 1 Using the touch pen on the menu screen 1 Press Manual key entry must always be used for turning on the power supply 2 Press A CALC of the main menu will be highlighted and options 01 to ...

Page 48: ...ll change to that shown on the right Sub menu items 7 to 9 will be displayed will disappear and will appear on the upper right side of the screen indicates that there are more menus before this screen In other words pressing advances the sub menu by one page although the advances one line at a time specifying using the touch pen is equivalent to Å of manual entry The secondary screen will display ...

Page 49: ... F Cautions when using the touch pen operation The touch pen operation should be performed without exerting force The display screen is made of glass and film and may break if too much force is applied Always use the attached touch pen when using the touch pen operation Using metal or sharp objects will scratch the screen and may result in malfunctions Because there will be a minor difference in t...

Page 50: ...key entry 3 Touch 3 on the screen using the pen The cursor will flash on top of the 3 indicating the edit mode it is now possible to correct the 3 as shown to the right 4 Press d4 5 56 42 will be calculated when pressing Example The touch pen operation for changing 56 42 which has completed calculation of 56 42 2352 to 36 42 is explained here 1 Touch the area above the answer 2352 on the diagram t...

Page 51: ... positioned in a location before the calculation 3 Select 5 using the touch pen as above Change the number to 3 then press to execute calculation In other words when a calculation has already been executed it is possible to call out the formula by touching the area above the answer with the touch pen ...

Page 52: ... see CHAPTER 4 on page 79 3 Using the touch pen on the graph screen In the graph screen it is possible to easily set the direction and amount of graph shifting using the SHIFT CHANGE function etc as described later specify tracing locations and enlarge and reduce screens using the touch pen operation The selected area when pen touching on the graph screen is displayed using appears when touching t...

Page 53: ...the disappears 5 When using the same procedure as in 4 the formula displayed on the upper left along with the cursor movement will change to that of the graph line newly moved by the cursor pointer The location where the cursor pointer appears The onscreen is displayed using a 8 10 dot configura tion The relationship of the cursor pointer and the when pen touching the second time is fixed as shown...

Page 54: ...dow modes such as Rapid zoom etc list correction etc pen touching will highlight the selected item as with main screen selection method Other operations are executed in a similar manner to that of the normal function calculation screen You can select the easiest procedure for each screen since pen touching and manual key entry perform identical operations There are some screens where pen touching ...

Page 55: ...lash momentarily when pressing Ï to inform that it is in the solver mode 3 Enter the equation Press ÅYÅ ÅA ÅB 4 Input the known variables Input 2 for Y 2 Skip A since it is the unknown variable Input 5 for B 5 Move the cursor to the location of the unknown variable A 5 Execute the solver function Press Ï It is simple to use the solver function by inputting known variables when there is only one un...

Page 56: ...ays the list 01 on the upper right indicates the first demonstration screen of equation Y 2 Advancing the demonstration screen by one page 1 Press 2 Next the graph for Y X2 appears The screen number will change to 02 Use the key to advance a page and to view the previous page The Y screen is shown on the right which is the last demonstration screen Pages will not advance when pressing 11 screen da...

Page 57: ... 2 Press A The Y X2 graph will appear on the left side of the screen The equation for the currently displayed graph will be displayed on the upper half of the right side of the screen The bottom half of the same side displays the registered equation The cursor will be displayed on the graph This indicates the directions in which the graph can be moved and that it is in standby mode 3 Press to shif...

Page 58: ...lel shifting In the change function it is possible to view the relationship of equa tions and graphs by changing the graph format Let s view the change using graph Y 1 Press Ï Press B Select graph Y The screen configuration is the same as for the shift function however since the graph formats are changed the cursor becomes as shown on the right 2 Press the Y graph moves upward The changes in coord...

Page 59: ...right If any of the settings are different make necessary changes since different settings may produce a different calculation result 1 Arithmetic Calculations No Example Key operations Answer 1 49 6 75 2 32 49 6 75 2 32 6 4 2 26 39 0 5 26 39 5 104 3 26 39 0 5 26 39 5 130 4 75 6 26 3 3 5 5 26 5 26 130 6 4 103 5 10 2 4 3 5 2 80000 7 5 36 18 3 64 8 5 36 18 3 64 8 770 An entered expression is display...

Page 60: ...ample 2 A negative number is entered by pressing not before the number as shown in example 5 If is mistakenly used in place of an error will be generated Example For the expression 5 3 the use of for the sign of 3 generates an error Use The EXP key secondary function of is used to input exponents In example 7 the input of jbefore may be omitted A maximum of 32 parentheses including those of other ...

Page 61: ...ons of the other group are selected from menu screens such as 2x sinh and in the MATH CALC menu Functions that are directly accessible from keys Trigonometric functions sin cos tan Inverse trigonometric functions sin 1 cos 1 tan 1 Square x2 Reciprocal x 1 Common logarithms log Natural logarithms In Exponents 10x ex Pi π Fractions a b Powers ab Square roots Xth roots a Expressions with inverse trig...

Page 62: ...8 38 7 5 428571429 B DRG in SET UP must be changed to Rad B DRG in SET UP must be changed to Grad 1 In a complex calculation with multiple powers an expression evaluates from the beginning Therefore the expression 2 3 2 is interpreted as 23 2 To evaluate the expression 232 enter 2 3 2 When the angle mode is set to Rad it is possible to input π based on the equation π 180 Deg To enter press Ïπ It i...

Page 63: ...tion menu A Common function menu B Common function menu C Conversion function menu Angle function menu Comparative function menu Logistic function menu Complex function menu Common function menu A A CALC Press Å to see the items after No 13 diagram on the right There are a total of 20 functions in the CALC menu The menu includes common logarithm to the base 2 log2 2 raised to the Xth power 2x mini...

Page 64: ...See the list in APPENDIX 6 Explanation of EL 9650 menus for the explanation of functions on page 284 No Example Key operations Answer The equation is entered in the sequence of fmin equation lower limit value upper limit value and common difference However the common difference may be omitted 4 2 2 to the Xth power 25 A025 32 2 4 To obtain the value of Y when the function Y has a maximum value fma...

Page 65: ...nverse trigonometric A142 7 20 32313683 function cot 1 2 7 Angle mode Deg 14 Hyperbolic function sinh 3 A153 10 01787493 15 Hyperbolic function A164 5 45 01412015 cosh 4 5 16 Hyperbolic function A172 8 99263152 tanh 2 8 17 Inverse hyperbolic A182 5 1 647231146 function sinh 1 2 5 18 Inverse hyperbolic A193 1 1 797456568 function cosh 1 3 1 19 Inverse hyperbolic A200 7 867300527 function tanh 1 0 7...

Page 66: ...Input examples No Example Key operations Answer 1 Absolute value log 0 75 1 B1g0 75 124938736 abs 2 Rounded number 3 5675 2 B23 5675 2 3 57 to second decimal places round 3 To obtain the integer part of B3 5 726 5 5 726 ipart 4 To obtain the fractional B4 58 8 25 part of 58 8 fpart 5 To round 5 726 to the B5 5 726 6 nearest integer int 6 Minimum value To obtain the minimum value of 4 256 and 4 32 ...

Page 67: ...ontains 2 3 the following solution will result lcm L1 L2 2 6 1 A closing parenthesis must be input at the end of the entry If the parenthesis is not input an error will be generated 2 Input of rounding function round numeric value number of digits right of decimal point The indication of the number of digits to the right of the decimal point may be omitted In this case it complies to the FSE of SE...

Page 68: ...andom number function may not be the same as the answer given in the example due to the nature of this function Range of random number generation 0 to 0 999999999 2 Permutation is expressed by 3 Combination is expressed by Common function menu C C PROB Check the menu Press Cto display the screen shown on the right There are a total of four options in the PROB menu See the list in APPENDIX 6 Explan...

Page 69: ...o sexagesimal degrees minutes seconds Seconds To convert specify 1 deg or 2 dms of the main menu s D CONV of the MATH menu Pressing Dwill display a screen shown on the right To input degrees minutes and seconds of a sexagesimal use 1 deg 2 min and 3 sec located in the main menu s E ANGLE of the MATH menu Pressing Ewill display the screen shown on the right Let s try converting angles using the two...

Page 70: ...o enter degrees minutes and seconds 25 755 2 Decimal sexagesimal conversion Convert 123 678 degrees to sexagesimal deg min sec 123 678 D2 123 40 40 8 123 deg 40 min 40 sec 8 3 Applied computation Time computation Finds the total time for 3 hours 30 min 45 sec and 6 hours 45 min 36 sec 3 E130 245 3 6 145 2 36 3 D2 Time can be entered in the same manner as degrees 10 16 21 10 hours 16 min 21 sec 4 C...

Page 71: ...t will appear when Eare pressed No Example Key operations Answer 1 Calculates sin 30 25 3 using the Rad mode calculate using Deg 2 Calculates cos π 6 using the Grad mode calculate using Rad 3 Calculates tan 90 using the Deg mode calculate using Grad s 30 E125 2 3 3 E1 50629718 c Ïπ 6 E4 t90 E5 866025403 6 313751515 Rectangular polar coordinate conversion D CONV It is possible to convert rectangula...

Page 72: ... operations Answer 1 Rectangular coordinate polar coordinates Convert coordinates 5 3 to polar coordinates Angle mode Deg First find r D35 3 Next find θ D45 3 First find x D514 Ïπ 3 Next find y D614 Ïπ 3 First find the size D33 9 Next find the direction D43 9 3 Application example Find size and direction phase of vector i 3 j9 Angle mode Deg 5 830951895 2 Polar coordinates rectangular coordinates ...

Page 73: ...sing the four rules of arithmetic and boolean operations of numerical values expressed in decimals binary octals and hexadecimals 1 Binary octal decimal and hexadecimal numbers Decimal DEC Most commonly used expression of numerical values using numbers from 0 to 9 Binary BIN Expression of numerical values using only 0 and 1 Octal OCT Expression of numerical values using numbers from 0 to 7 Hexadec...

Page 74: ...es can be expressed in the following number of digits Binary 16 digits Octal 10 digits Hexadecimal 10 digits An error is returned for calculations and conversions exceeding the above men tioned number of digits An error is also returned for calculations and conversions with results exceeding the range 3 Binary octal decimal and hexadecimal conversion 1 Press to set to the standard function calcula...

Page 75: ...ry octal and hexadecimal calculations arithmetic calculations For binary BIN octal OCT and hexadecimal HEX modes the four rules of arithmetic can be used as in the decimal DEC mode Calculations using parentheses and memory can be executed as well in the same manner as in the decimal DEC mode however function calculations and other calculations not mentioned above cannot be executed In decimal calc...

Page 76: ...itch modes when continuing calculations after binary octal or hexadecimal conversions Calculations can be continued as is Press or Ïœto return to the previous screen from the current mode Memory calculations cannot be used in this mode Calculate 35 6 in base 8 Press Ï A 35 6 Octal calculation Example Calculate 42 6 in base 8 Press Ï A 42 6 ...

Page 77: ...s also possible to find complements neg to express negative values 1 Table of true values for boolean operations A B 0 0 0 1 1 0 1 1 A and B 0 0 0 1 A or B 0 1 1 1 A xor B 0 1 1 0 A xnor B 1 0 0 1 A not A 0 1 1 0 4 Test Functions Using the inequality expressions value A and value B are compared 1 is returned for true and 0 is returned for false Real numbers equations or lists can be used for value...

Page 78: ... Hexadecimal using or and and for 70 3E and A2 8 Hexadecimal using and for 3D and 35 then adding 12 No Example Key operations Display 1 Binary using and for 1011 and 101 2 Hexadecimal using or for 5A and E2 3 Binary using not for 101110 Ï A 36 552 Ï A A5 62F Ï A 41 Ï A 70 23E 1A2 Ï A 3D 135 12 Ï A 1011 1 101 Ï A 5A 2E2 Ï A 3101110 ...

Page 79: ...nates or 5 r θ polar coordinates 1 Usable function keys main unit keys in the complex number mode The following functions can be used for complex numbers There are no limits for calculations using real numbers x2 x 1 log In 10x ex ab Example Calculate 3 4i 4 6i 1 Press Ï and check to see that the second line from bottom of the right in the set contents screen displays x yi To change the setting to...

Page 80: ...e table on page 282 APPENDIX 6 Explanation of EL 9650 menus describing usable functions in the complex number mode according to menus of this calculator Example Find the absolute value of 3 4i Press B13 4 Ï In the menu there is a function sub menu exclusively for complex numbers Press H conj finds the complex conjugate Example Find the complex conjugate of 6 3i Press H16 3 Ï ...

Page 81: ... Formula θ tan 1 y x Example Find angle argument of 7 5i angles mode Deg Press H57 5 Ï Calculations can also be performed Example Find the complex conjugate of 5 2i 3 4i Press H1 5 2 Ï j 3 4 Ï real finds real part of a complex number in polar form Example Find real part of polar coordinates 15 30 angle mode Deg Press H215 Ï 30 Angles can be entered using Deg Rad and Grad modes image finds imaginar...

Page 82: ...ns Please note that when switching changing from the Equation edit mode to One line edit mode in the SET UP menu all numerical equations and graph equations automatically stored to the temporary memory will be cleared and cannot be recalled Operating instructions To recall the expression evaluated immediately before press Ï The previous expression appears on the display To recall the expression ev...

Page 83: ...previous calculation result press Ï at the location where the result is to be inserted The Ans indication on the display represents the result of the previous calculation The previous answer may be used two or more times in a single expression Note that the numeric value represented by Ans changes when a new expression is evaluated If an error is generated during a calculation the previous answer ...

Page 84: ...sing the independent memory are explained Using the independent memory A to Z and θ It is possible to store different numerical values in memory spaces A to Z and θ total of 27 You can store numerical values or calculation results in the memory and use in equations It is also possible to store the calculation results in the memory using Ans To do so press Ï ÎÅA or B to Z θ Variables X Y R and θ wi...

Page 85: ..._ will appear on the bottom left of the screen Input the memory name here Calculating using memory Although Åis used in the example below may also be used as in the previous example Example 4 Use A and B entered in example 1 to execute A B A B Press ÅA ÅB ÅA ÅB notations may be omitted for calculations involving multiplication of memories such as A B or when numerical values come first such as 3 A...

Page 86: ...tions 1 A NBASE See the previous pages for details of this function See CHAPTER 3 4 Boolean Operations on page 67 2 B SYSTEM It is possible to solve simultaneous linear equations with two to six unknown values using this function Press Ï Bto display the screen shown on the right The sub menu to select the number of unknown values for the linear equation will appear on the right side of the screen ...

Page 87: ...f the screen 1 Input each coefficient of equation 1 by entering 3 4 5 3 2 Input each coefficient of equation 2 by entering 2 8 3 2 3 Complete coefficient input by entering 4 2 1 20 4 Press Ï to execute calculation The results are displayed on screen Answer X 3 Y 2 Z 4 To solve simultaneous linear equations with two to six unknown values first select using Ï B2 or 3to 6 then enter coefficients usin...

Page 88: ...nce the cursor pointer is positioned at a enter starting with value a 2 Complete parameter entry by pressing 2 5 3 3 Press Ï to execute calculation as shown on the right To solve cubic equations press Ï C3 then input each parameter following the example mentioned above for cubic equations four parameters of a to d are entered symbol will appear on the bottom left of the screen if the solution cann...

Page 89: ...TER 4 15 Useful Func tions for details This mode is only for rectangular coordinates Adjust graph range Press to draw graph 2 Graph Modes The EL 9650 has four graph modes rectangular coordinate graph parametric coordinate graph polar coordinate graph and sequence graph To select a mode use the SET UP settings Press Ï See CHAPTER 1 10 SET UP Menu on page 20 for details The input method varies depen...

Page 90: ...e right The graph mode is set by E COORD Check to make sure that it is set to Rect If it is set differently change the setting to Rect 2 Checking the format See page 97 for details Press Ï The FORMAT menu is used to specify the graph style Check to make sure that the settings are the same as the ones shown on the right If any of the settings are different the displayed screen may differ from the s...

Page 91: ...re up to 10 functions To display Y9 and Y0 scroll the screen to display the next page To input functions in Y9 and Y0 use to move the cursor to the input position 2 Enter x 2 2 5 in Y1 3 When is pressed to display the above screen the cursor is located at Y1 This indicates that the calculator is ready to accept the input for Y1 4 On this screen operate the following keys Press 2 5 When any key is ...

Page 92: ... rectangular coordinate graph mode are shown below Xmin 10 Xmax 10 Xscl 1 Ymin 10 Ymax 10 Yscl 1 In the following steps the intersection and maximum value are obtained For easy viewing zoom in on the graph To zoom in press There are several methods for zooming Use the sub menu of the ZOOM menu to make a selection 1 Press 2 Press 2 to select 2 Box The BOX function allows the selection of a section ...

Page 93: ...When the zoom function is used the graph range changes from the initial value according to the zooming ratio The graph range stays in that setting unless the range setting is changed or returned to the default setting 6 Displaying equations Before using the trace function follow the steps below to display the equation of the graph shown on the screen The C EXPRES menu of the FORMAT menu is used to...

Page 94: ...n With the touch pen touch the location on the display The cursor pointer moves to the selected position A mark appears on the screen This mark indicates the selected position If the position is acceptable touch inside the mark This enters the selected position and moves the cursor to a point on the curve inside the mark The location to which the cursor moves is a calculation point on the graph wi...

Page 95: ...ce with the cursor position If the cursor pointer is located outside the screen press again when the trace screen is displayed The screen will change the display area so that the cursor pointer appears near the center of the display Changing the graph equation to trace There are two ways to move the cursor pointer to another graph 1Using When is pressed functions valid for graphing are selected in...

Page 96: ...The above explanation showed the methods of moving the cursor on a graph The cursor can also be moved freely on the screen There are two ways to set the cursor to the free moving mode In either method the screen must be in the graph display mode not in the TRACE mode 1Press any of and to display the cursor pointer flashing on the display Press or to move the cursor freely on the display 2Select a ...

Page 97: ...cation is not needed it can be turned off using the previously mentioned Y menu 9 CALC functions See page 117 for details The CALC functions perform calculations To use a function press Ï Example To obtain the maximum value of Y1 x 2 2 5 Display the cursor pointer at Y1 to select graph Y1 Press Press Ï to display the CALC menu 4 Maximum provides maximum values To select press 4 The cursor moves to...

Page 98: ...of Y and smaller than the value input on the right Y of Y The cursor indicates the position where a selected equation number is entered To input an equation number select from Y1 to Y9 and Y0 displayed at the bottom of the display The cursor is positioned on NON indicator in the initial display condition This means that selection has not been made Move the cursor to the selected equation using To ...

Page 99: ...han Y1 and larger than Y2 1 Press Ï G 1 to display the screen shown previously 2 Press Make sure that Y2 appears on the left side of Y 3 Press to move the cursor to the input position Y2 Y _ of the upper bound function 4 Press to input Y1 on the right side of Y 5 Press This returns to the graph display The specified area on the graph will be shaded as shown on the right If an invalid graphing func...

Page 100: ...t value and table step 1 Press Ï Specifies the automatic table production mode 2 Press 4 Sets 4 in Table Start 3 Press 1 Sets 1 in Table Step 4 Press Displays a table Equations for Y1 and Y2 have been entered therefore no value can be entered for the next column Move the cursor pointer in the left to right direction by using While setting tables pressing displays Y4 on the right end of the display...

Page 101: ...ed on the graph and the coordinates of the cursor pointer location are high lighted in the table The table screen shows X and Y1 They indicate the number of the equation on which the cursor pointer is located When the cursor pointer is moved to the graph Y2 using or the Y1 display changes to the Y2 display and the table shows the Y2 value for X In the split screen the TRACE mode is active To exit ...

Page 102: ... Press Ï E 2 2 Input equations Press key to display screen to the right Input 3 sin T 2 to X1T and 2 cos T to Y1T Press 3 s 2 2 c To change the graph size reset the WINDOW value see page 104 or execute ZOOM see page 100 3 Plot graph Press to plot graph In the CALC functions of the parametric coordinate system only Value numeric value is valid Other functions such as Intsct Minimum etc used in the ...

Page 103: ...e polar coordinate graph mode Press Ï E 3 2 Entering equations In the polar coordinate graph mode the equation input screen press allows a maximum of six equations R1 to R6 to be entered When is pressed the cursor pointer positioned at R1 Enter the equation Press c 3 Drawing graphs Press A small oval graph appears on the display as shown on the right The oval graph results because the display pitc...

Page 104: ...o set the most suitable range for the above graph Press Press A 1 The fully zoomed graph appears on the screen as shown on the right In the polar coordinate graph mode the trace zoom and other functions can be used in the same way as for the X Y coordinate graph mode However the CALC menu only has the VALUE function numerical calculation function obtaining R for the input value of θ ...

Page 105: ...e There is the following arithmetical progression as a sequence 3 6 9 12 15 18 Since the general term u n of this sequence can be expressed as u n 1 3 we will draw a graph with changes of n up to 10 1 Set sequence graph mode select 4 Seq in the SET UP menu Press Ï E 4 The screen shown on the right will appear 2 Input equation Since the cursor pointer is positioned at u n the graph equation is ente...

Page 106: ...lines depending on the data you wish to graph see CHAPTER 4 10 Selecting a Line Type of Graph on page 103 for changing settings Two types of variables u to w n 1 and u to w n 2 can be displayed using se quence graphs When setting the two types of variables it is necessary to input two values for the initial values u nMin v nMin and w nMin for example when entering 1 and 3 for u nMin enter u nMin 1...

Page 107: ...et to the polar coordinate graph mode The location selected by the trace or other function is indicated by r and θ displayed at the bottom of the graph In the parametric system the T indica tion is added C EXPRES 1 ON Displays a graph equation on the graph screen 2 OFF Does not display a graph equation on the graph screen D Y 1 ON Displays a numeric derivative dy dx on the graph screen 2 OFF Does ...

Page 108: ... To set u n to the X axis and v n to the Y axis 4 uw To set u n to the X axis and w n to the Y axis 5 vw To set v n to the X axis and w n to the Y axis 8 Entering Functions To enter functions press to display the function input screen then enter expressions an equation must be entered to display a graph This calculator supports a total of four coordinate systems for the graphing function X Y param...

Page 109: ...ghlighted This indicates that the graphing function is valid When is pressed the graph of the highlighted equation is drawn When the graph display is not necessary use and to move the cursor to the sign of the selected equation number and press This changes the sign to to indicate that the graphing function is inactive If an equation does not fit in a single line it automatically wraps to the begi...

Page 110: ...n Ymax relation to Xmin Xmax relation 2 Box To enlarge a section specified by the rectangular box to a full screen display 3 In To enlarge a graph according to the X and Y zoom factors set by B FACTOR 4 Out To reduce the size of a graph according to the X and Y zoom factors set by B FACTOR When moving the cursor pointer before displaying In and Out described above enlargement and reduction is exec...

Page 111: ... vary in the four modes 6 Square To set the same scale for the X and Y axes The Y axis scale is adjusted according to the X axis scale 7 Dec To set each screen dot to 0 1 8 Int To set each screen dot to 1 9 Stat To display all points of statistical data B FACTOR To adjust the X and Y axis zoom factors and display the settings Key operations Pressing B displays the following screen Display changes ...

Page 112: ...ode a graph is re drawn according to the window information that was valid prior to the execution of the zoom function H RCL C POWER D EXP E TRIG F HYP These menus change the display variables to settings suitable for drawing graphs of powers C POWER D EXP trigonometric functions E TRIG and hyperbolic functions F HYP To use these functions in the graph display mode select an appropriate item from ...

Page 113: ...e figures below a list containing the equation number in each coordinate system and line type will appear on the screen X Y 1 Polar Parametric Sequential The highlighted part on the screen expresses the current line type setting The cursor flashes on the solid line of the first line top of the screen In the rectangular coordinate system equations may exist on two pages A mark is displayed at the l...

Page 114: ... equation is input the solid line is set For other three coordinate systems the same procedure is applied to set the type of line 11 Setting a Window The word WINDOW stands for a graph display screen Using this screen it is possible to set several ranges X Y θ for the window Changing the window ranges can be used to clarify the trend of the entire graph or to enlarge an important part of the graph...

Page 115: ...um and maximum values Tstep Cursor pointer step value during tracing Polar coordinate system The values below are applied to this coordinate system in addition to those in the rectangular coordinate system θmin θmax θ angle minimum and maximum values θstep Cursor pointer step value during tracing Sequential coordinate system The values below are applied to this coordinate system in addition to tho...

Page 116: ...ods one allows you to draw a point or line by directly touching a desired point on the screen and the other allows you to specify it by manually inputting data Press Ï on the graph screen Move the cursor pointer directly to a desired location on the graph screen where you wish to draw a point or line Press Ï on other screens A selected DRAW menu is displayed on the screen Specify the coordinates o...

Page 117: ...e screen Graph display screen Press 2 to display the cursor pointer on the graph screen Use to move the cursor pointer to a desired location where you wish to start drawing of a line and press Next move the cursor pointer to a location where the line ends and press to draw a line between specified two points Using the same procedure you can draw any number of lines subsequently To cancel the mode ...

Page 118: ... draw a vertical line However to specify the coordinates the following syntax is used V_line 6 V_line is drawn at X 6 Graph display screen Press 5 to display the cursor pointer on the graph Using move the cursor pointer to the desired location on the graph and press to draw a tangential line or input a numeric value X axis coordinate value to draw a tangential line corresponding to the X axis coor...

Page 119: ...drawn and the area 2X2 5 Y X is shaded It is also possible to specify function equation numbers which are already registered The shade drawn here will disappear when redrawing the graph It is also possible to specify shading by inserting the value of the x axis after the equation For example input shade 2X2 5 X 1 1 to shade between 2X2 5 Y X and X 1 to 1 6 Draw Draws an additional graph of the fun...

Page 120: ...aph screen Other screens Press 9 to display the message Circle Input the coordinates of the center and radius in order and press to draw the circle For example Circle 2 3 4 draws the circle 9 All screens Press 0 to display the message Text _ Input a location column row and the desired text and press to write the text on the screen For example Text 5 1 ABC writes ABC with an origin of column No 5 a...

Page 121: ...efinitions for text input You may specify the coordinates where you wish to start writing text 0 to 9 for row and 0 to 30 for column B POINT Draws and deletes a point on the graph screen There are two operation methods One is to directly move the cursor pointer to a location on the graph screen where you wish to insert a point The other is to call a relevant command on the graph screen and to dire...

Page 122: ...s at coordinates X 5 Y 3 4 Pxl ON Draws a point at a specified location by inputting the column and row Column and row definitions are shown to the right Column 0 to 126 For the split screen see CHAPTER 4 15 Useful Functions on page 124 only a range of 0 to 64 can be specified Row 0 to 62 This area cannot be specified 5 Pxl OFF Deletes a point at a location specified by column and row Points dots ...

Page 123: ...y 1 Draw ON 1 Press Ï C 1 Press D LINE Used to specify a type of line for the graph For details see CHAPTER 4 10 Selecting a Line Type for a Graph on page 103 2 Press 2 4 to input an equation number Make the second and fourth Y2 and Y4 for the rectangular coordinate system valid This message shows that operation has been performed 2 Draw OFF Makes the graph equation invalid An mark in the specifie...

Page 124: ... shown to the right will appear allowing you to input the memory number where you wish to save the data 2 Press 1 Graph data is saved to G_Data 1 The screen shown on the right will appear showing that the graph data has been saved to G_Data 1 2 Rcl GD Calls up the saved graph data Specify the graph data number to call up the graph which is already saved If the graph data is called up that graph da...

Page 125: ... current screen contents F PICT 1 Sto Pict Saves the function graph and coordinate axes currently displayed and points lines and graphs drawn by the DRAW function as pictures Graphic pictures are saved to any of ten memory spaces Pict 1 to Pict 9 and Pict 0 If the memory where the Pict data has been saved is specified the new data overwrites the old data Operation To save the following graph to Pi...

Page 126: ...8 The data to be saved as Pict data is like a hard copy of the screen and is completely different from the graph data Even though the Pict data is called up the data is handled as pictures and therefore no function equations exist Tracing is also not possible 2 Rcl Pict Calls up the saved Pict data by specifying it The Pict data which is called up is overlapped on the current graph screen If the P...

Page 127: ...nt 3 Minimum Calculates the minimum of the given function graph and moves the cursor pointer to that position 4 Maximum Calculates the maximum of the given function graph and moves the cursor pointer to that position 5 X_Incpt Calculates the position where the function graph intersects the X axis and moves the cursor pointer to that point 6 Y_Incpt Calculates the position where the function graph ...

Page 128: ...tom of the screen 2 Intsct Press 2 To calculate the intersection if more than one graph is displayed press or to move the cursor to another graph and then press Ï and 2 again If the intersection exists beyond the display range of the screen only the coordinates will appear on the bottom of the screen The cursor pointer will not appear when the X coordinate of that intersection is within the displa...

Page 129: ...ted the error message No Solution will appear and show that the cursor pointer cannot be moved 4 Maximum Press 4 In the previous example the maximum point cannot be calculated and therefore the error message No Solution will appear on the screen If the graph Y1 X2 2 shown to the right is displayed the cursor moves to the maximum point 5 X_Incpt Press 5 If there is more than one intersection press ...

Page 130: ... In this example assume that the cubic equation of Y1 X3 3X2 2 has been input When calculating using the CALC function When solving in a screen with the ZOOM function in use results may differ in value from that shown in the example coordinate values ...

Page 131: ...oint can be displayed A 10 digit value of the column where the cursor pointer is currently located is displayed on the bottom line of the screen The cursor pointer can be moved using Non input equation numbers and equations invalid for graphing will not be displayed in the above table 2Parametric coordinate system The variable T is always displayed in the left end column For table values X1T Y1T a...

Page 132: ...sor pointer can be moved using Non input equation numbers and equations invalid for graphing will not be dis played in the above table 4Sequential coordinate system The variable n is always displayed in the left end column Tables values u n v n and w n are simulta neously displayed For values n u n v n and w n up to 7 digits including a sign and decimal point can be displayed A 10 digit value of t...

Page 133: ...utomatically calculated by the function equation to complete the table Thus although TableStart and TableStep inputs can be made when selecting User set values will not be used Press or to switch between Auto and User TableStart is a start value of the variable in the table and TableStep is a step value of the variable Both are numeric values Example To automatically create a table starting from 5...

Page 134: ...m the built in list in the calculator and draw its graph This mode is valid only in the rectangular coordinate system When is pressed in other modes an error occurs The error message Rect coordinate only available instantaneously appears on the screen 8 kinds and 51 types of equations listed below are built into the rapid graph function Example To create a table in the User mode under the above co...

Page 135: ... Y 1 2cos X π 2 1 6 Y 1 2cos 2X π 2 1 7 Y 1 2cos 2X π 2 1 1 Y Atan BX H K 1 Y Asec BX H K 1 Y Acsc BX H K 1 Y Acot BX H K 1 Y AX3 BX2 CX D 1 Y A X H 3 K 1 Y A X 2 Y 1 X 3 Y 1 X 1 Y A X H K 1 Y AX B CX D 1 Y A X H 2 K 1 Y A BX 1 Y A BX H 1 Y A BX H K 1 Y A BX 1 Y A X H K A Y AX2 B Y AX2 B C Y A X H 2 K D Y AX2 BX C A Y BX A Y logX B Y Alog X H K C Y AIn X H K A Y Asin BX H K B Y Acos BX H K C Y Ata...

Page 136: ...ich actual equations are displayed 4 To select the sine graph move the cursor to A current position and press The small classification screen shown to the right will appear 5 Press 2 to input a desired equation to Y1 At this time pressing immediately draws the graph However the equation selected using the rapid graph function does not have any graph range Therefore the graph is drawn based on the ...

Page 137: ...not necessary to set both the X and Y Window at the same time To return to the normal function calculation screen from the rapid window mode press Ï œ Example To set the X Window to 10 X 1 scl 1 and Y Window to 10 Y 1 scl 1 in the X Y coordinate using the rapid window function do the following 1 Press to open the window screen The default settings will appear on the screen The settings which appea...

Page 138: ... current settings are displayed on the top line like the X Window selection screen A AUTO allows automatic setting of the Y Window corresponding to the X Window 7 Press 4 to select line 4 Pressing draws the graph based on the selected X and Y Window 3 Rapid zoom The rapid zoom function allows you to easily enlarge or reduce the graph while referring to the reduced graph To use this function press ...

Page 139: ...d Touch any of these symbols or press a relevant key If the cursor pointer is at the top of the Y axis setting as shown press or to move the cursor pointer along with the Y axis and press or to move the cursor pointer along with the X axis Use of pen touching allows direct selection of a point where the cursor pointer is moved 4 Next move the graph to the right by touching with the pen or pressing...

Page 140: ...tion is valid in all coordinate system modes Graph and table Graph and equation The area where the cursor is located is reversely displayed To enter the split screen press Ï When Ï are pressed on the graph screen the graph and table are displayed on the same screen When Ï are pressed on the equation input screen the graph and equation are displayed on the same screen The following illustration sho...

Page 141: ...en the table full screen is displayed by pressing a different table may appear on the screen When the EXPRES or Y is set to ON on the FORMAT menu the equation or coordinates are displayed on the graph screen Only equations whose graphs can be drawn are displayed on the split screen Press or on the split screen to display the full screen of the graph or table To exit the split screen press any of o...

Page 142: ...pears on the screen To input the equation there are the following two methods after has been pressed After the equation has been input the same operations apply to subsequent steps 1Input an equation directly Example Input AX2 B to Y1 Press move the cursor to Y1 Å A Ó Å B 2Press to select a desired equation from the equation list built into the rapid graph function if the desired equation is inclu...

Page 143: ...s located contains no variables the substitution graph screen will not appear 2 Press 2 2 is input to A The graph for Y1 2X2 is drawn Since B and C have no values they are ignored At this time the graph for Y2 is also drawn Y2 also uses variable A which is used in Y1 Therefore the drawing of the graph for Y2 is also valid If you need to draw only the graph for Y2 it is necessary to change variable...

Page 144: ...er numeric values for variables to view how the graph changes The trace function cannot be used in the substitution graph mode When is pressed the full screen graph will appear 2 Press Ï to return to the equation display screen The equation is written based on the last numeric values input on the substitution graph screen Once Ï have been pressed the screen cannot be returned to the previous subst...

Page 145: ...lso be edited in the edit mode For the input procedures define a dimension row column and enter numeric values for elements in sequential order Example Input a matrix to mat A 1 Press to display the matrix menu 2 Press Bto display the edit menu The contents on the right portion of the screen are not changed When a matrix name is selected on A NAME on the previous screen that matrix name is copied ...

Page 146: ...creen The maximum number of elements that may be displayed on one screen is 5 rows by 3 columns To show other areas press or Even though the data overflows the screen area the row and column numbers are always displayed making it easy to check the data location The maximum parentheses display of a matrix differs according to contents as shown below The above shows that all of the data are displaye...

Page 147: ...meric value input is 1st row 1st column 1st row 2nd column 2nd row 1st column 2nd row 2nd column and so on 6 Press 3 1 5 2 6 to obtain this screen At this time the unit is in the edit mode Press a numeric key and to overwrite 6 To move the cursor pointer to the top of the defined dimension press To use the touch pen on this screen directly touch the desired numeric data to allow that data to be ed...

Page 148: ... Clears the home screen A1 A2 3 Square of mat A A1 If the answer matrix and the equation cannot be displayed on one screen the equation disappears and only the answer is displayed To show the part of the answer which cannot be displayed on the screen press or to scroll the screen in a desired direction Additionally using the last answer function the answer can be temporarily stored into a blank ma...

Page 149: ...s commands of the OPE menu assuming that mat A is mat B and mat E 01 dim Used to define a matrix or check the contents Example To define the dimensions of mat C as 2 3 Entry 2 3 dim mat C Display As shown to the right indicates Î To specify mat C press A3 not B3 To check the contents of mat C The display shown to the right will appear when pressing A3 As described previously it is also possible to...

Page 150: ...pear on the screen after calculation This answer is obtained by calling up mat D 03 cumul Used to make a cumulative matrix Example To make a cumulative matrix of mat A Entry cumul mat A Answer 04 augment Used to make an augmented matrix Example To make an augmented matrix of mat A and mat B Entry augment mat A mat B Answer 05 identity Used to make a unit matrix Example To make a unit matrix contai...

Page 151: ...t match the above display 07 row_swap Used to swap the data in two specified rows Example To swap the 2nd and 3rd rows of mat E FSE set to FloatPt Entry row_swap mat E 2 3 Answer 08 row_plus Use to add specified row data to another specified row Example To add the 2nd row to the 1st row of mat E Entry row_plus mat E 2 1 Answer 09 row_mult Used to perform scalar multiplication of elements in a spec...

Page 152: ... and L3 using mat E mat E contains three columns Entry mat list mat E L1 L2 L3 Answer L1 5 4 1 L2 2 9 5 L3 3 2 6 After the message Done has been displayed press Ï to sequentially call up the list to check it Additionally it is possible to make a matrix from the specified column of the matrix Example To make list L1 from the 3rd row of mat E Entry mat list mat E 3 L1 Answer L1 3 2 6 After the messa...

Page 153: ...en the number of rows and columns are the same Example To calculate the determinant of mat A Entry det mat A Answer 172 2 trans Used to calculate the transposed matrix rows and columns of the matrix are swapped Example To calculate the transposed matrix of mat B Entry trans mat B Answer 3 row EF Used to calculate the row echelon form of the matrix Example To calculate the row echelon form of mat A...

Page 154: ...ow EF as shown below As a result the following solutions are obtained 1 x 0 y 0 z 2 x 2 0 x 1 y 0 z 3 y 3 0 x 0 y 1 z 5 z 5 To solve simultaneous equations using rrow EF a matrix containing the numbers of variables and equations is required 3 Calculation using Next the calculation using is explained Press Eto open the menu Square brackets are provided on the matrix function screen E to define a ma...

Page 155: ...calculation screen Example Assume that the data 1 3 2 and 9 and the other data 5 4 6 and 3 exist Store both of the sets of data to L1 and L2 respectively 1 Selects the general function screen and clears it 2 Ï 1 3 2 9 Ï Puts one set of data in parentheses A comma must be put between numeric values 3 The data input is now completed Next to store the above data to list L1 follow these steps To resis...

Page 156: ...ng lists L1 and L2 created previously The above display shows that the answer cannot be displayed within one line and the remaining part exists on the right To show the remaining part of the answer press The numeric values will scroll to the left and the message will also appear at the left end sin L3 10 jÏ ÎÏ sÏ Angle mode is degree Ï Ï To input the result of the above 10 L1 to L3 L1 L2 Example K...

Page 157: ...he 4th term If a number of 6 or more is input instead of 5 in the above operation and is pressed an error occurs If a number of 4 or less is input in in the above operation the old data in the corresponding term is overwritten by 7 Ï Ï Since the L1 contains five terms and L2 contains four terms addition cannot be done 1 If a colon is used data may continue to be entered in more than one term ...

Page 158: ...X2 Y 2X2 and Y 3X2 are drawn The window settings in the graph shown to the right are default values After L1 1 2 3 is entered Y L1X2 can also be designated 3 Special List Function Groups Built into the Menu Press Ï A OPE Menu for functions related to transforma tion B MATH Menu for list calculation functions C L_DATA Menu for saving loading of list data 1 OPE showing that sub menu items exist belo...

Page 159: ...rms in the first list All lists are not sorted in ascending order 2 sort D Used to sort the data in the list in descending order Example To sort list L1 in descending order Entry sort D L1 Answer 6 5 4 Done will be displayed on the execution screen of both sortA and sortD Press Ï to check list contents 3 dim Use to set or return the dimension the number of terms of the list Example To display the ...

Page 160: ...ut an equation and make a list by changing variables ranging from a start value to an end value by a set increment Include x in the equation as a variable Entry seq equation start value end value increment Increment can be omitted The increment will be set to 1 Example To make a list based on calculation values when the variable X of the equation X 2 is changed from 0 to 4 in increments of 1 Ï A5 ...

Page 161: ...trix from the list data Example To make matrix A from lists L1 and L2 Entry list mat L1 L2 mat A Calls up the matrix file name Key operations A1 Answer mat A 6 3 4 9 5 8 Done will be displayed on the execution screen To call up the contents of the matrix A1 The terms of each list are input to each column of the matrix The use of complex numbers is not allowed This function is the same as list mat ...

Page 162: ...of more than one list can be calculated at the same time In this case lists are separated by a comma 2 max Used to find the maximum value in the list Example To find the maximum value in list L1 Entry max L1 Answer 6 In the same manner as described above multiple lists can be calculated at the same time 3 mean Used to calculate the average value of the list Example To find the average value of lis...

Page 163: ...ms in the list Example To multiply all terms in list L1 Entry prod L1 Answer 120 For 6 prod it is also possible to multiply terms at the specified locations in the same manner as described in 5 sum 7 stdDv Used to calculate the standard deviation of the list Example To calculate the standard deviation of list L2 Entry stdDv L2 Answer 3 214550254 8 varian Used to calculate the variance of the list ...

Page 164: ...ist data On the C L_Data selection screen Press 1to select StoLD The screen shown to the right will appear Press 1 to store the created list into L_Data 1 If you wish to store the list into L_Data 2 press 2 instead of 1 The message Done showing the completion of data storage will appear on the screen 2 RclLD Used to call up the stored list data The current list data is overwritten by called up lis...

Page 165: ...nput 1 Press 2 The screen shown to the right will appear Press 3 Lists L1 to L3 will appear each of which contains elements No 1 to 6 In the initial state all elements are blank and the cursor pointer is located at L1 1 top line 4 Input a numeric value and press Numeric values can be input to elements of L1 in sequential order It is also possible to input a numeric value equation for example 3 5 a...

Page 166: ...screen Edit Change data from 4 to 10 in the above example 1 On the final input screen in the above example press to move the cursor pointer to 4 It is also possible to move the cursor pointer by touching the cell where 4 exists with the touch pen 2 Press 10 to change the data from 4 to 10 ...

Page 167: ...lated regressions This chapter explains the input procedure and calculation method of statistics and how to obtain regression curves 1 Statistics 1 Calculating statistics The function for statistical calculations can be dis played by pressing as shown on the right The outline of the menu is as follows A EDIT Used to set the edit mode of the data new data entry is initiated here B OPE Calculation m...

Page 168: ...Σx2 sum of squares of sample x xmin smallest value of sample x Q1 median of Med and the smallest value Med median of sample x Q3 median of Med and the largest value xmax largest value of sample x Statistics of 2 variable x y The following statistics are obtained in addition to the statistics of the 1 variable x Σxy sum of product of sample x y mean of sample y sy standard deviation of sample y sta...

Page 169: ... 68 65 72 56 78 95 73 Physics L2 65 80 78 80 90 86 70 62 88 68 See CHAPTER 6 on page 155 for the input procedure 1 Display list by entering A The cursor pointer will be displayed at the top of the L1 data display Data can be entered at the position of the cursor pointer 2 Input 70 We will first enter the score of the math test of student A 70 will be displayed at the very bottom as shown on the ri...

Page 170: ...tudents 1 3 3 1 2 In the same manner as described previously when inputting points to the list L3 and number of students to the list L4 the list shown to the right is obtained At this time the list L4 is called weight list Freq of the list L3 L3 and L4 are handled together as statistical data The weight list is used to draw the statistical graph or calculate the statistical verification calculatio...

Page 171: ...separate the list names by using such as 2_Stats L1 L2 C2 Try executing 2_Stats using the data from example 1 Key operation C2Ï Ï The results shown on the right are returned use to view the screens below ANOVA This function is accessed using C CALC 3 ANOVA executes single analysis of the quadratic deviation that compares the population mean of a population of two to a population of six Statistical...

Page 172: ...function to the standard function calculation screen Press Ï Ï to input the data list Press and the answer shown to the right will appear The answer is shown using two screens F p df SS MS and sxp indicate statistic probability degree of freedom sum of squares quadratic mean and standard mean respectively To delete one data entry Move the cursor pointer to the location for deletion and press d The...

Page 173: ...Example 4 Insert 40 between rows 3 and 4 of list L1 of example 3 1 Use to move the cursor pointer to the row below the location of insertion in this case move the cursor pointer to row 4 of L1 80 2 0 is displayed when pressing Ï and displayed items below the cursor are shifted one row down 3 Press 40 40 will be entered in the row 4 and number of data for L1 will be 6 6 Graphing statistical data It...

Page 174: ... a graph using the math scores L1 1 Press ÏSTATPLOT 2 Specify PLOT1 by pressing A and the screen will change as shown below PLOT1 PLOT2 PLOT3 POINT POINT POINT Set whether to graph on or not off Set whether 1 variable or 2 variable set to XY for 2 variable Set list to graph Set frequency Set graph format This screen shows that PLOT1 is off graphing invalid and is a 1 variable and that a histogram ...

Page 175: ...1 Press Bto select the broken line plot 1 Broken displays points using 2 Broken displays points using and 3 Broken displays points using 12 Press 3to return to the previous screen At this time the graph image diagram located at the bottom of the screen is changed 13 Press to graph the contents of list L2 using the specified format Freq on the screen indicates the space where frequency is entered T...

Page 176: ... CHAPTER 4 11 Setting a Window on page 104 Broken line plot B B L Displays the frequency distribution of entered statisti cal data x using a broken line The correlation of points between a histogram and a broken line plot is as shown on the right The broken line is displayed by connecting the upper left points of the bars of the histogram In other words the class width of a histogram is represente...

Page 177: ...alue Xmin of the statistical data C Shows the median Med of the statistical data D Shows the median Q3 between the largest value Xmax and the median Med of the statistical data E Shows the largest value Xmax of the statistical data Modified box plot F MBOX Shows the entered data x using modified box plot Definition of points on the graph are as follows A Shows the smallest value Xmin of the statis...

Page 178: ...lect one from A PLOT1 to C PLOT3 to advance to the detailed setting screen of each graph It is possible to overlap graphs PLOT1 to PLOT3 when displaying When overlapping graphs graphings of PLOT1 to PLOT3 are all valid It is possible to display and delete graphs by setting graph on off for each graph LIMIT settings Press D LIMIT and the display shown to the right will appear Use D LIMIT to set the...

Page 179: ...e statistical graphs This is explained below Cursor pointer in histograms For histograms the cursor pointer appears on the very left side when pressing When using to trace a histogram the cursor pointer moves from the top left of each bar to the next in sequence The bottom of the screen displays X and Y value Box plots modified box plots The cursor pointer appears in the Med value when the is pres...

Page 180: ...tents are orga nized Example 6 18 15 20 6 5 have been entered to list L1 as statistical data We will now organize this data list in ascending order 1 Press B1to display sortA on the screen 2 Press Ï to specify list L1 3 The contents of L1 will be organized when pressing initial screen 2 sortD organizes list contents in descending order This function operates in the same manner as sort D of Ï A2 Se...

Page 181: ...e very left Example 7 There are lists L1 to L3 with statistical data shown on the right We will arrange the list in the order of L3 L2 and L1 1 Press B3to specify SetList 2 Input list names in the order to be arranged by pressing Ï Ï Ï 3 Press to execute arrangement 4 Press A to check contents 4 ClrList deletes all data of specified lists Entry ClrList list name list name list name Up to 6 list na...

Page 182: ...Parameter 01 Med_Med Finds the regression curve using the median median method 02 Rg_ax b Finds the regression curve using the linear equation linear regression 1 03 Rg_a bx Finds the regression curve using the linear equation linear regression 2 04 Rg_x2 Finds the regression curve using the second degree polynomial quadratic regression 05 Rg_x3 Finds the regression curve using the third degree po...

Page 183: ...ponential function formula exponential regression 1 10 Rg_aebx Finds the regression curve using the exponential function formula exponential regression 2 11 Rg_x 1 Finds the regression curve using the inverse function formula reciprocal regres sion 12 Rg_axb Finds the regression curve using the power function formula power regression 13 Rg_logistic Finds the regression curve using the logistic log...

Page 184: ...re we will find the estimated value for Y given X 80 100 Key operation Ï 80 100 Ï D16 15 X Find the estimated value of X when a value Y was given by comply ing to the function found using the regression formula Entry AX numerical values or list are entered in A Multiple solutions can be obtained at the same time of inputting list Example 8 when the following is entered as statistical data Find est...

Page 185: ...t and L2 is automatically displayed Next we will specify as the graph dot type used 7 Press ÏSTATPLOT G2to specify graph type scatter diagram and dot type The GRAPH image screen dot will change to indicating that has been specified as the dot type X Y will be valid after regression calculations excluding 2nd 3rd and 4th degree polynomial regressions logistic regression and sin regression have been...

Page 186: ...on curve Since water temperature will not rise above 100 C under normal pressure the regression formula for the curve up to 100 C point is solved It seems appropriate to decide whether it is a exponential regression or quadratic regression Here we will draw a regression curve using the quadratic regression 9 Press D04to display Rg_x2 on screen 10 Press Ï Ï Specify objective list number is explaine...

Page 187: ... exists in the formula number for entering the regression formula existing contents will be replaced by the new contents About the residual list There are residuals between regression curves and actual values The residual list stores these residuals automatically resid list can be found in B REGEQN 0 resid of the STAT VARS menu H STAT Use the following key operation to recall the residual list fro...

Page 188: ...s of input method for inputting statistics in the EDIT screen of a test function input from a statistics data list and numerical value input however there are some test functions that cannot be input from a list see below 16 InputList and 17 InputStats indicated above specify the input method of statistics 16 InputList Set input mode to the statistic data list method 17 InputStat Set input mode to...

Page 189: ... sample data is in the form of a matrix and is stored to mat A We will use this to test χ2 and store the result in mat B Note Matrix data must be integers Press E 0 1 to input necessary items Input matrix name with the sample data for testing in Observed Matrix Input matrix name in which to insert test result in Expected Matrix Since the cursor pointer is located at Observed Matrix we will first i...

Page 190: ...s for this test we will first set the unit to the numerical value input mode 1 Press E 1 7 to set the unit to the numerical value input mode 2 Press E 0 2 to display the parameter input screen 3 Press to highlight select σ1 σ2 In the default setting the cursor pointer will appear at σ1 σ2 4 5 6 20 6 2 50 5 Press Ï to solve F indicates statistics and P indicates probability No input is necessary wh...

Page 191: ...meter input screen as shown to the right 3 Press to specify highlight µ µ0 and move cursor pointer to µ0 4 Input sample mean by entering 64 52 5 Specify list L1 by pressing Ï 6 Input list weight by pressing when there is a weight list input list name 7 Press Ï to obtain the answer shown to the right t indicates statistics P indicates probability and sx indicates sample standard deviation No input ...

Page 192: ...bjectively unequal Select Yes if σ1 σ2 are equal Calculation is executed using this prediction as the basis 3 Press Ï to solve The answer is shown using two screens df indicates degree of freedom 05 TtestLinreg Tests the hypothesis of slope β of linear regression straight line Y α βx and correlation coefficient ρ of two dimensional sample data obtained from two different populations Example 5 The ...

Page 193: ...d using the above data and the function equation Y1 to Y9 and Y0 has been stored input that equation number 4 Press Ï to solve The answer is given using two screens a b indicates regression coefficients s indicates standard error r indicates the correlation coefficient and r2 indicates the coefficient of determination 06 Tint1samp Finds the confidence bound of population mean µ when the value of p...

Page 194: ...he population standard deviations σ1 and σ2 from two sample data sets collected from two different populations are unknown Example 7 Here we will find the confidence bound of µ with the level of confidence at 0 95 using the contents from example 4 statistical data is assumed to be stored in L2 and L3 1 Set to list input mode InputList 2 Press E 0 7 to input each parameter as shown to the right 3 P...

Page 195: ...he right Explanation of the screen µ µ0 µ µ0 µ µ0 Hypothesis setting double side test single side test settings µ indicates the population mean µ0 indicates the population mean hypothesis obtained from sample data σ indicates the population standard deviation indi cates the sample mean and n indicates the sample number n is a positive integer As a hypothesis µ µ0 double side test is found using th...

Page 196: ...ve The answer will be displayed as shown to the right n1 and n2 are positive integers 10 Ztest1prop Tests the success probability P0 of a population P0 is the success probability obtained from sample data collected from a population Example 10 A coin was tossed 100 times and landed heads side up 42 times Normally the probability of heads facing up is 0 5 but we will test this obtained sample data ...

Page 197: ...om two different populations Example11 Here we will test the success probability of P1 and P2 using the hypothesis P1 P2 for the two sets of sample data n1 50 x1 16 and n2 20 x2 5 1 Press E 1 1 to input each parameter as shown to the right 2 Press Ï to obtain answer as shown to the right The answer is given using two screens indicates the calculated success rate of sample data 1 and 2 combined and...

Page 198: ...ue within indicates the confidence bound with the level of confidence at 0 95 In other words the confidence bound of this sample data with the confidence level at 95 is between 51 428 and 55 372 C level indicates the level of confidence n is a positive integer 13 Zint2samp Finds the confidence bound of two sample means µ1 µ2 when each population standard deviation σ1 σ2 from two sets of sample dat...

Page 199: ... contents from example 10 with confidence level at 0 95 1 Press E 1 4 to input each parameter as shown to the right 2 Press Ï to solve as shown to the right The numerical value within indicates the confi dence bound of the success probability with confidence level at 95 n is a positive integer 15 Zint2prop Finds the confidence bound of the difference P1 P2 of the success probability obtained from ...

Page 200: ...the distribution function press and select F DISTRI There are 15 options within the F DISTRI menu check by pressing Å To use a distribution function first press F in the standard function calculation screen select desired function from the sub menu list then transfer the desired function to the standard function calculation screen by pressing For example to use 04 pdfT The following function will ...

Page 201: ...6 Key operation F 0 1 65 60 6 02 cdfnorm Calculates the normal distribution probability of a specified range x for normal distribution N µ σ2 cannot be entered using lists Format cdfnorm lower value upper value mean standard deviation However the mean and standard deviation may be omitted When omitted µ 0 and σ 1 Example 2 Calculate the probability of range x 54 to 66 in example 1 Key operation F ...

Page 202: ... Example 4 Find the probability density of T distribution with 9 degrees of freedom when x 2 5 Key operation F 0 4 2 5 9 An error may occur when entering an extremely large number exceeding 100 etc for the degrees of freedom 05 cdfT Finds the T distribution probability within the specified range of x for T distribution with n degrees of freedom cannot be entered using lists Format cdfT lower limit...

Page 203: ...limit upper limit degrees of freedom Degrees of freedom is a positive integer Example 7 Find the probability of range x 3 to 15 for χ2 distribution with 10 degrees of freedom Key operation F 0 7 3 15 10 08 pdfF Finds the probability density of specified value x for F distribution that possesses two independent degrees of freedom m and n cannot be entered using lists Format pdfF value of x degrees ...

Page 204: ...eration F 0 9 0 2 5 15 10 An error may occur when entering an extremely large number exceeding 100 etc for the degrees of freedom 10 pdfbin Finds the probability density of specified value x for binomial distribution cannot be entered using lists with the exception of success numbers Format pdfbin trial number success probability success number However the success number may be omitted when the su...

Page 205: ...red and displayed as list Example 11 Find the probability of example 9 using range up to x 7 Key operation F 1 1 15 0 3 7 12 pdfpoi Finds the probability density of a specified value x for a Poisson distribu tion of mean µ Format pdfpoi mean value of x Example 12 Find the probability density of x 4 when the mean of a Poisson distribution is 3 6 Key operation F 1 2 3 6 4 13 cdfpoi Finds the probabi...

Page 206: ...istribution Format cdfgeo success probability value of x Example 15 Find the probability for example 14 using range up to x 26 Key operation F 1 5 0 056 26 Limitations for calculating the distribution function For the following statistical distribution functions the range of degree of freedom in which calculation can be made is limited to those shown below 1 pdfT Degrees of freedom 140 2 cdfT Degr...

Page 207: ...n Specifies payment due beginning of period end of period Specifies individual function within the T V M solver 1 Before Starting Financial Calculations 1 Differences between simple interest and compound inter est There are two ways to calculate interest simple interest and compound interest The calculator is capable of executing both simple and compound interest calculations The differences betwe...

Page 208: ...est for the second year is calculated by adding the interest gained in the first year to the principal sum Thus interest of 309 10 000 300 0 03 would be received The interest for the third year is calculated by adding the interest gained in the second year which is 318 27 as indicated below 10 300 309 0 03 318 27 Thus the total interest received in the period of three years would be 927 27 300 309...

Page 209: ...principal sum total of standard compound interest would look like this Cash flow PV present value Time flow FV Future value Since the present value PV is deposited into the bank it is considered an outflow payment from the customer s point of view Thus a vertical line with an arrow is drawn on the bottom minus of the diagram Since principal interest total is received from the bank it is considered...

Page 210: ...ce specification of payment due is located in C PERIOD press Cto open the sub menu the screen to the right will appear 2 Press 1 PmtEnd to specify payment due at the end of a period and 2 PmtBegin to specify payment due at the beginning of a period The content specified here will be reflected in the calculation results 2 SOLVER function The calculator is equipped with a SOLVER function that calcul...

Page 211: ...emaining 200 000 First draw the cash flow for this problem payments are due at the end of period We will then input known variables the following key operation is executed while in the TVM SOLVER screen 1 Press 360 to input 360 number of monthly payments for 30 years for N number of payments The cursor pointer moves to I and the annual interest can be entered 2 Input I annual interest 5 3 Input PV...

Page 212: ...t shown to the right is obtained Result PMT 1073 643246 This is due to the FSE setting being set to FloatPt in the SET UP menu Calculation results can be modified using appropriate TAB settings The answer above would be displayed 1073 64 when setting to TAB 2 FSE FIX The negative PMT display indicates payments Example 2 We calculate the down payment amount for the above example when the limit for ...

Page 213: ... solve Example 3 We will compare the principal interest total for accumulated interest of 100 monthly at 2 18 for 5 years The cash flow diagrams for the payment due at the beginning and end of the period are as follows TAB is set to 2 Payment due at beginning of period Payment due at end of period 1Payment due at beginning of period 1 Press ÏFINANCE C2 to set to payment due at beginning of period ...

Page 214: ... on the standard function calculation screen how the results change when changing conditions of various variables 01 slv_pmt Calculates monthly payments Input method input variable other than PMT such as slv_pmt N I PV FV P Y C Y to solve PMT TAB is set to 2 Find the result when changing interest from 5 to 4 1 Press Recall the normal function calculation screen and clear unnecessary display 2 Pres...

Page 215: ...VER 03 slv_PV Calculates the present value Input method slv_PV N I PMT FV P Y C Y 04 slv_N Calculates the number of payments Input method slv_N I PV PMT FV P Y C Y 05 slv_FV Calculates the future value Input method slv_FV N I PV PMT P Y C Y 06 Npv Calculates the pure initial value and evaluates the validity of the investment Example 5 There is a plan of raising the initial investment to increase s...

Page 216: ...s plan above Input initial investment value for the equation above 0 This is to find the one time investment payment Example 6 To find out whether the revenue of 18 can be secured with an investment of 25 000 using example 5 above enter 25000 as the investment instead of 0 ÏFINANCE B0618 25000 Ï Negative numbers indicate outflow of cash investment The answer will be 626 47 A negative sign is at ta...

Page 217: ...e assumed revenue rate must be entered at the end Error is returned unless this is done Input method Irr Initial investment value list of collected investment assumed revenue rate 08 Bal Calculates payments Input method Bal number of payments displayed number of decimals The displayed number of decimals is optional TAB setting will be valid in this case Example 8 We will calculate the loan balance...

Page 218: ...e 9 1 2 ÏFINANCE B101 60 3 ÏFINANCE B1061 120 Calculations cannot be executed for 08 Bal 09 ΣPrn and 10 ΣInt if the known variables of example 1 are not entered for execution of calculation numerical values must be entered to I PV and PMT 11 Apr Converts effective interest rate to nominal interest rate Input method Apr effective interest rate number of settlements Example 11 How much is the nomina...

Page 219: ...nds the compound interest rate for half a year Ans 8 16 for compound interest rate for half a year Effective interest rate converts annual interest rate to monthly or quarterly three months or semi annually six months for compound interests The nominal interest rate shows the annual interest rate 13 days Calculates days the calculation range is 1950 to 2049 Input method days start month day year e...

Page 220: ... functions can be recalled from the standard function calculation screen To recall press ÏFINANCE D Try recalling these functions with the TVM SOLVER of Example1 executed ÏFINANCE D1 Recalls the content of N ÏFINANCE D2 Recalls the content of I ÏFINANCE D3 Recalls the content of PV As is shown these functions can recall contents of the TVM solver and input numerical values to these functions for e...

Page 221: ...is possible to use functions assigned to the key board and some of the menu functions 27 characters A to Z and θ can be used for variables One character is defined as one variable For example ABC means A B C Variables A to Z and θ correspond to independent memory spaces For example the variable A and independent memory A are the same Independent memory spaces may directly use the contents of other...

Page 222: ...ables are changed recalculation is per formed to find the solution flashes at the upper right corner of the screen during calculation Example Enter the equation A 3B C D to find the value C in the case of A 10 B 3 and D 5 1 ÅA Å 3 ÅB ÅC ÅD 2 Press The screen is changed to the variable input screen The message Solver Equation shows the analysis method used by the solver Unless otherwise specified t...

Page 223: ...ss to move the cursor to C after inputting numerical values the cursor pointer is at D Press Ïand to display the answer screen shown to the right After the solution has been found press to return to the variable input screen On this screen you may change the numeric values in the variables and select another unknown variable to find the solution again To edit the equation press on the variable inp...

Page 224: ...ind the solution using this method it is necessary to specify the initial value START and step value STEP The calculation is repeated until the difference between the right side and left side of the equation is within the allowable range Example Use the equation S P 1 I N S Amount with interest added P Initial investment amount I Interest rate N Investment period to calculate an interest rate nece...

Page 225: ... to return to the variable input screen Additionally if a difference between the right and left sides exists recalculate with the obtained value used as the START value to obtain a value closer to the real value In above example even if you had not set the Newton method for analysis the calculation will be performed in the same manner as described in the equation method That is first the equation ...

Page 226: ...occurs press to return to the variable input screen and change the BEGIN and END values To enlarge a part of the graph after the solution has been found you may use the ZOOM Box function See CHAPTER 4 9 Zoom Function on page 100 Example Find the time when the ball reaches a point 3 m high after it has been thrown straight up at an initial speed of 10 m sec Applicable equation H 0 5 GT2 VT D H Heig...

Page 227: ...ove example follow these steps 1 Press Ï 2 As a result T 1 675379859 1 68 sec is obtained 3 Registering an Equation To register an equation input the equation after entering the SOLVER mode or enter one of the screens after executing calculation An equation which is frequently used can be registered using the following steps Registration of solver equations is done while in the SOLVER mode 1 Press...

Page 228: ... call up the registered solver equation follow these steps 1 Press Ï to enter the solver mode 2 Press Ï again to display the solver menu 3 Press B The equation number and its name will appear on the screen 4 Press 01 Input the equation number to call a desired solver equation After the equation has been called enter values for known variables and move the cursor to the variable for which you wish ...

Page 229: ...e equation number and name will appear on the right portion of the screen Select the equation number for which you wish to change the name In this example press 01 The cursor pointer will appear at the head of the name Enter the new name ALPHA LOCK is automatically turned on in this mode so letters may be entered without having to press Å ...

Page 230: ...220 CHAPTER 9 ...

Page 231: ...d to perform the default settings registration of name for the original slide screen D EDIT Used to edit the original slide show Main menu Sub menu 1 Built in Slide Show The calculator has eight built in equations On the above screen equations 1 to 6 are displayed Pressing Å scrolls the screen to display equations number 7 and 8 Pen touch selection is also possible This function is designed for re...

Page 232: ...splayed X value Y value Screen number 01 shows the first screen Example View the slide show screen for Y AX B 1 Press Enters the slide show mode 2 Press Selects A B IN and 2 Y AX B The first screen appears as shown on the right Although equations are expressed using Y AX B when selecting numbers are substituted for A and B in the actual screen The Y coordinate corresponding to X 2 in graph Y1 is s...

Page 233: ...ode C Put a title on the slide show Input a title Register screens After creating an original slide show press Ï to store the original slide show The original slide show has no specific end mark When another slide show is created following the original slide show the previous data is cleared and updated by the new slide show That is the built in graph for Y AX B is completed on the 8th screen At t...

Page 234: ... for the creation of the original slide show are completed Thereafter you may create and store screens to complete the original slide show A number from 01 is put on the screen every time it is created The screen will be redisplayed from 01 4 Press 2 5 Inputs 2X 5 to Y1 5 Press Inputs X2 to Y2 At this time the screen shown to the right will appear First register this screen as screen number 1 6 Pr...

Page 235: ...been performed creation of the necessary screens is now completed Subsequently normal operations can be performed unless Ï and are pressed When C NEW is selected after the original slide show has been created the screen transition is as follows Displays the title of the original slide show and the number of screens Press Press Press Ï to return to the standard function calculation screen ...

Page 236: ...ered slide show data can be sorted and deleted and the title can be renamed in the edit mode 1 Changing the order of the screens MOVE To move the screen number 02 created in the graph to the last entry follow these steps 1 Press Selects the menu 1 MOVE of D EDIT 2 Press Displays the first screen The symbol 01 is highlighted in the upper right corner of the screen 3 Press 4 Press To return to the p...

Page 237: ...essage shown to the right will appear on the screen Since the MOVE command puts the desired screen before the currently displayed screen this message appears on the screen 5 Press Completes the screen movement The final screen will appear after the screen movement is completed 2 Deleting the registered screen DEL To delete screen number 04 which has been moved in the previous step follow these ste...

Page 238: ...s deleted 3 Renaming the registered title RENAME To change the title GRAPH of the screen that was entered in the previous steps to ORIGINAL follow these steps 1 Press Selects menu 3 RENAME of D EDIT 2 Press Displays the title screen The cursor flashes on the top line 3 lnputs the new title as ORIGINAL 4 Press Sets the new title Exit this mode by pressing Ï Exit this mode by pressing Ï œ ...

Page 239: ...e graph locus which you have moved or changed can be temporarily stored Equations built into the SHIFT and CHANGE functions are expressed only in the rectangular coordinate system regardless of the current coordinate system 1 SHIFT Function The following shows the built in equations shift steps and movable range applicable to the SHIFT function For trigonometric functions the same equation is stor...

Page 240: ...00 X 400 to 400 GRAD Y 1 Y 3 to 3 7 Y tanX X 45 X 180 to 180 DEG Y 1 Y 3 to 3 Y tanX X 0 785 X π to π RAD Y 1 Y 3 to 3 Y tanX X 50 X 200 to 200 GRAD Y 1 Y 3 to 3 8 Y X X 1 X 5 to 5 Y 1 Y 3 to 3 Example The SHIFT function is explained using the graph for Y X2 1 Press Ï Touch A SHIFT and 1 Y X2 with the pen Sets the shift mode of Y X2 To select equations numbers 7 and 8 which are not displayed touch...

Page 241: ...e direction of upward from the start point 0 0 The X and Y located at the bottom of the graph indicate the amount of movement of the X and Y axis 4 Press When the movement direction and amount are accepted press to set them Since the original graph Y X2 has been registered the line type is changed from the solid line to the dotted line as the graph is moved and both lines remain on the screen The ...

Page 242: ...screen disappears This means that the graph can be moved based on the newly moved equation Y X2 1 The graph displayed by a dotted line is the previous graph before starting movement This does not relate to saving the equation 7 Press Saves the equation graph Y X 2 2 1 The saved equation X 2 2 1 is added under Y X2 on the right portion of the screen Up to ten equations 1 to 9 and 0 including the ba...

Page 243: ...rtion of the screen The cursor is located at 1 X2 and the graph corre sponding to that equation is displayed by a solid line Other graphs are displayed by dotted lines Touch a part where 2 X 2 2 1 is displayed or press to move the cursor to 2 At the same time the graph corresponding to the selected equation is changed from the dotted line to the solid line and other graphs are displayed by dotted ...

Page 244: ...uation becomes a base equation immediately after the graph movement screen is displayed Therefore if the equation 2 X 2 2 1 has been selected that equation becomes a base equation Note that the above operation clears equations not saved on the previous graph movement screen Supplementary explanation 1 To quickly move the graph touch a point with the pen to where you wish to move the graph as shown...

Page 245: ...ale unit touch the arrow as shown in the above example To move the graph two scales or more in parallel touch a part away from the arrow To return from the SHIFT function to the previous screen Press to return to the screen which appears immediately after a desired equation has been selected by pressing Ï A SHIFT and equation Press Ï œ to return to the standard function calculation screen Note tha...

Page 246: ...ve the graph and view the relationship between the moved graph and its equation The CHANGE function shows the relationship between the graph and equation by changing the shape of the graph For example using this function you may view changes such as Y 2X2 and Y 3X2 based on Y X2 Selection of the screen and equation are done using proce dures similar to those used in the SHIFT function The followin...

Page 247: ...qua tions 3 Press Touch the upper arrow of with the pen The cursor frame moves upward and an arrow will appear toward the cursor Numeric values displayed on the bottom of the screen show changes in the graph based on changes in the coordinates The example shown to the right means that you wish to change the graph for Y X2 passing through the coordinates 1 1 to the graph passing through 1 2 4 Press...

Page 248: ...bed in the SHIFT function As described in the SHIFT function there are the following two methods to enter the graph generation screen 1Touch the right portion of the screen with the pen 2Press Å Touch with the pen or press Å To return from the graph generation screen to the change screen touch the left portion graph screen of the screen or press Å To return from the CHANGE function to the previous...

Page 249: ...yed on the right side of the screen A EXEC The program execution menu B EDIT The program edit menu C NEW The new program menu 2 Press C to select the new program menu A program title input screen like that shown to the right will be displayed First input the title Titles can be up to 8 digits in length and can include both letters and numerals 3 Input the program title ex ABC then press 4 The curs...

Page 250: ...nts into programs Please refer to Programming Commands below for the available commands Programming is also possible without using these commands 3 Program Input and Edit One becomes accustomed to inputting programs through actual practice The following are descriptions of functions that are convenient for programming Press Ï B and the program Number to enter the program edit mode To add an additi...

Page 251: ...a program Press dor Úto correct text and command errors Press Ïq and use the C DEL menu to delete an entire program Use Ï to enter the program mode and then use Ï Hto copy a program line to another location To change a program name use the cursor keys to shift the cursor to the program name and then input the new name Use Åwhen inputting each character When the program name change has been complet...

Page 252: ... this equation Use the program name SLOPE Program contents Key operation SLOPE Press Ï C to enter the programming mode Press SLOPE to input the title Input M Ï A3ÅM Input B Ï A3ÅB MX B Y Ï MXÅ ÅBÎ ÅY Print Y Ï A1Ï A2ÅY Print Y Ï A1ÅY Press Ïœto end the program Input this command requests the input of a variable Print this command displays the value of the variable on the screen Execute the program...

Page 253: ...e The programming commands are shown in 8 main menus and their sub menus All of the programming commands can be used in the program mode The input of ordinary functions by keying in or from the MATH menu etc is not explained here but almost all of these functions can be used in programs 1 A PRGM menu Press Ï Ato select A PRGM and display the menu as described above 1 Print 1 The value of the varia...

Page 254: ...ith other commands Entry command character string Example Print AB 3 Input Interrupts program execution displays VARIABLE NAME on the screen and requests input of the value of the variable Entry Input variable Example Input A Input L1 Input mat A 1 1 4 Wait Interrupts execution of the program for the number of seconds specified by the numerical value The program will be re executed if any key is p...

Page 255: ...cates the end of a program The End command is not necessary to end a program when the actual end is reached The End command does not necessarily have to be used at the end of a program Multiple End commands may be used Ex When a program branches the End command can be used to end execution at the branch destinations Entry End 2 B BRNCH menu Press Ï Bto select B BRNCH and display the menu as shown ...

Page 256: ...he Label LOOP If A is not equal to 1 the next program line is executed 4 Gosub Shifts program execution to the sub routine starting with Label character string The Gosub character string must be the same as the character string of the Label indicating the start of the sub routine Return is necessary at the end of the sub routine When the Return statement is executed program execution shifts to the...

Page 257: ...lears the graph screen without influencing the characters being displayed The graph screen is displayed After the graph screen is cleared the specified graph statement is drawn Entry ClrG 3 DispT Displays the program text screen Entry DispT 4 DispG Displays the graph screen Entry DispG 4 D I O menu Press Ï Dto display the menu screen selected with D I O 1 Get Receives data from externally connecte...

Page 258: ...s as X and Y coordinates Entry Rect 2 Param Sets the graph coordinates as parametric coordinates Entry Param 3 Polar Sets the graph coordinates as polar coordinates Entry Polar 4 Web Sets the graph coordinates as axes in numerical string graphs u n 1 is set as the X axis u n is set as the Y axis Entry Web 5 Time Sets the graph coordinates as axes in numerical string graphs n is set as the X axis u...

Page 259: ...as the X axis Sets w n as the Y axis Entry vw 6 F FORM memu Press Ï Fto display the menu selected with F FORM F FORM has many sub menu items which cannot be displayed on one screen Press Å to view the next page FORM is the menu that specifies the graph format to be used in a program 1 Rect Cursor Sets the graph coordinate display format to X Y axes Entry Rect Cursor 2 Polar Cursor Sets the graph c...

Page 260: ... mode in which graphs are drawn using connected lines Entry Connect 8 Dot Sets the mode in which graphs are drawn using dots Entry Dot 9 Sequen Sets graph drawing to the sequential graph mode Entry Sequen 0 Simul Sets graph drawing to the simultaneous graph mode Entry Simul 7 G S_PLOT menu Press Ï Gto display the menu selected with G S_PLOT The G S_PLOT menu specifies locations where statistical d...

Page 261: ...y one line can be stored to memory Entry Sto Line 2 Rcl Line Calls out and transfers to the screen the program statement stored with Sto Line To call out a statement to the screen shift the cursor pointer to the line to be placed then select Rcl Line and press to call out the stored program statement This menu entry is used in combination with Sto Line Entry Rcl Line 6 Other Functions Often Used i...

Page 262: ...nd G_Data0 F PICTUR Specifies picture data Pict1 to Pict9 and Pict0 G TABLE Specifies table setting values Table start Table Step Table List H STAT Specifies statistics functions Σx regression expressions points and statistical verification functions The commands and functions in the VARS menu can be displayed on the screen Current setting data can also be reset The results of arithmetic functions...

Page 263: ...uded in list L1 L1 165 182 5 173 8 166 5 185 3 A one variable statistical data calculation was executed based on this data After returning to the normal function calculation screen average values can be viewed by using the following procedure Press H A0 2 to display on the screen Press to call out the average value of X as determined in the previous calculation In this way the contents of an immed...

Page 264: ...ing Convenient when a program has entered an infinite loop Press or at this time to display the cursor executed last Refer to Appendix 3 Error Codes and Error Messages on page 270 concerning error messages 8 Sample Program Try executing the sample program to become accustomed to programming Either input a command after pressing Ï or select another menu In the following sample program commands have...

Page 265: ...nput S Ï A3Ï SÅ 5 If S 1 Goto C TO F Ï B3Ï S Å1Ï B2Ï CTOFÅÏ H1 6 If S 2 Goto F TO C Ï H2 2 ÅF ÅC 7 Goto START Ï B2Ï STAR TÅ 8 Label C TO F Ï B1Ï CTOF Å 9 Input C Ï A3ÅC 10 9 5 C 32 F 9 5 jÅC 32 ÎÅF 11 Print F Ï A1Ï A2ÅF 12 Print F Ï A1ÅF 13 End Ï A6 14 Label F TO C Ï B1Ï FTOC Å 15 Input F Ï A3ÅF 16 5 9 F 32 C 5 9 j ÅF 32 Î ÅC 17 Print C Ï A1Ï A2ÅC 18 Print C Ï A1ÅC 19 End Ï A6 ...

Page 266: ...n of numbers Create a program that fills the matrix M N with random numbers from 0 to 9 The file name is MATFILL Input The program command input method Ï was explained in the previous example so only items requiring special caution will be explained here Program Key operation MATFILL 1 Input N 2 Input M 3 N M dim mat A Ï ÅN ÅMÏ ÎMATRIX C01MATRIX A1 4 1 I 5 Label FILL I 6 1 J 7 Label FILL J 8 round...

Page 267: ...program After pressing Ï Ï A select the program MATFILL and then press When the program starts executing the line will be defined and then the random numbers will be stored in Mat A To view the contents of Mat A on the screen select A1and then press ...

Page 268: ...258 CHAPTER 12 ...

Page 269: ...t by touching or using the touch pen instead of using manual key entry 2 Checking Memory Usage The first screen of memory check The second screen of memory check The memory usage check screen as shown on the right will appear when pressing ÏqB This screen displays the remaining user space The sample screen indicates that there are 18201 bytes of empty space The user memory is shared by graph equat...

Page 270: ... Editor If you check the free memory capacity in any other mode the capacity may not be displayed accurately The Equation Editor uses part of the user area Therefore the memory capacity that the Editor can temporarily use may vary depending on the free memory capacity You cannot use the Equation Editor unless the free memory capacity is approximately least 500 bytes or more 3 Deleting Files The de...

Page 271: ... EL 9650s The specified file of the current mode is sent and received Operations for the sender and the receiver are as follows Connection method for communication between EL 9650s Sending side EL 9650 Receiving side EL 9650 Insert cable completely CE 450L Sender Receiver 1 Both the sender and receiver must press ÏqD 2 Press 2 A display for the receive mode will appear on screen 3 Press 1 4 Specif...

Page 272: ...t files 03 Matrix Selects and displays all matrix files 04 Graph Eqn Selects and displays all graph equations 05 Solver Eqn Selects and displays all solver equations 06 Program Selects and displays all program files 07 G_Data Selects and displays all graph data files 08 L_Data Selects and displays all list data files 09 Picture Selects and displays all picture data files 10 Slide Selects and displ...

Page 273: ...list matrix etc However 02 List or 03 Matrix can be used when sending only list or matrices 2 Data communication between the EL 9650 and a Personal computer CE LK1 separately sold is required for data communications with Personal computers The CE LK1 includes a communication cable and software Please see the CE LK1 operation manual for connections For communications with Personal computers no oper...

Page 274: ...batteries or if the calculator does not function properly even after the above RESET operation perform the following 1 Press the RESET switch on the back 2 Press Returns to the initial display CAUTION Do not press in step 2 Pressing will delete all data stores in the calculator ...

Page 275: ...reach of children When batteries become weak remove them from the calculator immediately If depleted batteries are left in the calculator for any length of time they might leak and cause corrosion inside the calculator Do not dispose of batteries in fire or water as they may explode 2 Replacing the operating batteries When the battery replacement message shown to the right appears in the display r...

Page 276: ...e data 7 If the display becomes hard to see adjust the display contrast Press Ï q and lighter or darker until the contrast is set correctly 3 Replacing the memory backup battery Replace the backup battery every 5 years as follows If you do not change the backup battery every 5 years you risk losing all of the stored memory 1 Open the battery compartment cover following steps 1 2 and 3 of the opera...

Page 277: ...aphing calculator Display 22 digits 10 lines dot matrix character format when 5 7 dots Number of digits mantissa 10 digits exponents 2 digits standard screen 7 digit display including negatives decimals for table screen split screen etc However 10 digits for mantissa in the complex number mode Display method Numerical value display method specification calculation equation input method direct alge...

Page 278: ... graph database register etc Statistic function 1 variable 2 variable statistical data input calculation register edit and frequency input regression calculation function estimated statistic authorization function etc Solver function Equation solver numerical syntax analysis Newton s law graph analysis solver equation register etc List function direct data entry edit to list calculation function f...

Page 279: ...ery for memory Approx 5 years under temperature of approx 20 C 68 F When the batteries for operation are replaced frequently as it is used Note These differ according to battery type usage ambient temperature etc External 86 mm W 183 mm D 19 5 mm H dimensions 3 3 8 W 7 7 32 D 25 32 H without the protective cover Weight 230 g 0 507 lb with batteries without the protective cover Attached items 4 AAA...

Page 280: ...ment Inconsistency in argument of the structured function 09 Data Type Invalid data type used in calculation 10 No Sign Change Finance calculation error 11 No define Undefined list or matrix 12 Domain Argument definition outside of domain 13 Increment Increment error 16 Irr Calc More than two inflection points for Irr calculation 17 Stat Med Med Med law statistic error 20 No Argument No argument e...

Page 281: ... once within a program 41 Lbl undefined Label is not defined for Goto or Gosub 42 Lbl over More than 50 labels are used within a program 43 Gosub stack Nesting of more than 10 subroutine stacks 44 Line too long One line of program exceeds more than 160 characters 45 Can t return Use of return command without jumping from subroutine 46 Strage full Attempt to create a file exceeding 99 delete unnece...

Page 282: ...on below r C Y 1 1 1 I calculation 1If PMT 0 r 1 2If PMT 0 f r PV 1 r s PMT FV 1 r n r 0 f r PV PMT n FV r 0 Calculate the following for r solved in 1and 2 I 100 C Y r 1 1 2 PV calculation 1If r 0 r 1 PV 1 r s PMT FV 1 r n 2If r 0 PV n PMT FV 3If r 1 Error I 100 C Y P Y S 1 Pmt_Begin S 0 Pmt_End PV FV 1 n 1 1 r n r P Y C Y 1 1 r n r ...

Page 283: ...n PMT PV 3If r 1 Error 4 PMT calculation 1If r 0 r 1 PMT 2If r 0 PMT 3If r 1 Error 5 N calculation 1If r 0 r 1 N 2If r 0 N 3If r 1 Error PV 1 r s PMT 1 r n 1 1 r n r PV FV 1 r n 1 r s 1 1 r n r PV FV n log log 1 r PV 1 r s PMT 1 r s PMT FV 1 r 1 r FV PV PMT ...

Page 284: ...Begin mode PV PMT 0 and FV 0 PV PMT 0 and FV 0 If PMT 0 Pmt_End mode PV 0 and FV PMT 0 PV 0 and FV PMT 0 Pmt_Begin mode PV PMT 0 and FV 0 PV PMT 0 and FV 0 If PMT 0 PV FV 0 FV N PMT PV 0 or FV N PMT PV 0 Irr calculation All cash flows have the same sign 3 Distribution function 1pdfnorm f x exp 1 2π σ x µ 2 2σ2 Calculation result Xreg µ Mean σ Standard deviation 2pdfT f x Γ 1 df 1 2 x2 df Γ df 2 πd...

Page 285: ...2 X m 2 1 1 mx n m n 2 However Γ s xs 1 e x dx 0 m Degree of freedom of numerator n Degree of freedom of denominator 5pdfbin 6pdfpoi n Trial number integers greater than 0 p Success probability 0 p 1 c Success number P x 0 1 p n P x c 1 n c p c 1 1 p P x c f x e µ µx x x 0 1 2 7pdfgeo x First successful trial number f x p 1 p x 1 c 0 1 n 1 ...

Page 286: ...9 are considered to be 0 Function calculation Function Calculation range Notes DEG x 1 1010 RAD x 1010 sin x GRAD x 1010 cos x However the following are excluded for tan x tan x DEG x 90 2n 1 RAD x 2n 1 n is an integer GRAD x 100 2n 1 sin 1 x 1 x 1 cos 1 x tan 1 x x 1 10100 sinh x cosh x 230 2585093 x 230 2585092 tanh x sinh 1 x x 1 1050 cosh 1 x 1 x 1 1050 tanh 1 x x 1 ln x 1 10 99 x 1 10100 ln x...

Page 287: ...5 When a 0 1 10100 b log a 100 When a 0 ab 0 b 1 10100 ab 10b log a When a 0 b is an integer or is an odd number b 0 However 1 10100 b log a 100 When b 0 1 10100 log b 100 a 0 When b 0 0 a 1 10100 10 When b 0 a is an odd number or is an integer a 0 However 1 10100 log b 100 nPr 0 r n 69 n and r are positive nCr integers 1 log b a ...

Page 288: ...0 xy θ 1 10100 r 1 10100 θ tan 1 x r cosθ rθ x y r sinθ rθ y r 1 10100 The range of θ is the same as x of sin x and cos x Binary 1000000000000000 x 1111111111111111 0 x 0111111111111111 not Octal 4000000000 x 7777777777 0 x 3777777777 Hexadecimal FDABF41C01 x FFFFFFFFFF 0 x 2540BE3FE Binary 1000000000000001 x 1111111111111111 0 x 0111111111111111 neg Octal 4000000001 x 7777777777 0 x 3777777777 He...

Page 289: ... 1050 y 1 1050 Σx 1 10100 Statistic Σx2 1 10100 calculations Σy 1 10100 Σy2 1 10100 Σxy 1 10100 n 1 10100 x n 0 n 1 sx Σx 1 1050 0 1 10100 n 0 σx Σx 1 1050 0 1 10100 n 0 Σx 1 1050 Σy 1 1050 r 0 Σx2 Σy2 1 10100 Σxy 1 10100 1 10100 Same for y sy and σy ...

Page 290: ... other In principle the residual for calculations is 1 of the last digit in case of exponential display the residual is 1 of the last digit of the mantissa display However the residual increases in continuous calculations due to accumulation of each residual this is the same for squares ab and square roots where continuous calculations are performed internally Moreover errors will accumulate and b...

Page 291: ... x yi x 1050 log x yi y 1050 10100 e x yi x 230 y 230 10 x yi x 100 y 100 x 1050 x yi a bi y 1050 a 10100 b 10100 List Error is returned when the number of elements This is the same exceeds 1 000 when the result of a list function speci fies 1 000 or more elements Matrix Error is returned when specifying columns or rows that exceed 100 ...

Page 292: ...splay mode exponents are in multiples of three D TAB 1 to 9 1 to 9 and Sets number of decimal and 0 0 point places range from 0 9 E COORD 1 Rect Sets to rectangular coordinate mode 2 Param Sets to parametric variable coordinate mode 3 Polar Sets to polar coordinate mode 4 Seq Sets to sequence coordinate mode F 1 Decimal Sets answer display to the ANSWER Real decimal mode 6 Explanation of EL 9650 m...

Page 293: ...G 1 Equation Sets editor on mode to input EDITOR equations as they appear 2 One line Sets editor on mode to input one line at a time FORMAT A Current FORMAT setting condition display screen B 1 RectCoord Sets to rectangular A mode is fixed by CURSOR coordinate graphing format selecting it in the menu screen 2 PolarCoord Sets to polar coordinate graphing format C 1 ON Displays specified numerical E...

Page 294: ... Simul Sets to simultaneous graphing mode draw multiple graphs at one time G TYPE 1 Web Sets COB_web graph mode 2 Time Sets axis for progression graphing set n to X axis and u n v n and w n to Y axis 3 uv Sets axis for progression graphing set u n to X axis and v n to Y axis 4 uw Sets axis for progression graphing set u n to X axis and w n to Y axis 5 vw Sets axis for progression graphing set v n ...

Page 295: ...s the variable when fmax equation a function equation takes the lower limit upper largest value limit List cannot be used for all argu ments 05 d dx Calculates using differential d dx f x derivative calculus x List cannot be used for all argu ments 06 Calculates using integral f x lower limit calculus 1 upper limit Gauss kronrod method tolerance 2 dx List cannot be used for all arguments 1 If f x ...

Page 296: ...s trigonometric csc A function cosecant 11 cot Calculates trigonometric cot A function cotangent 12 sec 1 Calculate inverse sec 1 A trigonometric function secant 13 csc 1 Calculates inverse csc 1 A trigonometric function cosecant 14 cot 1 Calculates inverse cot 1 A trigonometric function cotangent 15 sinh Calculates hyperbolic sine sinh A 16 cosh Calculates hyperbolic cosine cosh A 17 tanh Calcula...

Page 297: ...ical value CPLX 5 int Change numerical value to int A integer value CPLX 6 min Finds smallest value in min A B or min list valueA and valueB or return smallest value within a list 7 max Finds largest value in valueA max A B or and valueB or return largest max list value within a list 8 lcm Finds least common multiple lcm G H of valueG and valueH that G and H are are real numbers or lists synchroni...

Page 298: ...ue list and numerical value etc 3 nCr Finds the number of com A nCr B bined items between list A and B list and each element numerical value list and numerical value etc 4 Calculates factorials A D CONV 1 deg Converts sexagesimals to A deg decimals 2 dms Converts decimals to A dms sexagesimals 3 xy r Finds r from specified xy r A B rectangular coordinates 4 xy θ Finds θ from specified xy θ A B rec...

Page 299: ...rical value 3 Second input Numerical value Used to enclose characters numerical value for print in programs Print numerical value command Print character string 4 r Rad conversion Ar 5 g Grad conversion Ag F INEQ 1 Test operation that compares A B values on the right with the left Returns 1 if true and 0 if false 2 Test operation that compares A B values on the right with the left Returns 1 if tru...

Page 300: ...hat compares A B values on the right with the left Returns 1 if true and 0 if false G LOGIC 1 and Boolean operator used for A and B N base calculations and 2 or Boolean operator used for A or B N base calculations or 3 not Boolean operator used for not A N base calculations not 4 xor Boolean operator used for A xor B N base calculations xor 5 xnor Boolean operator used for A xnor B N base calculat...

Page 301: ...n operator for use in A and B N base calculations and 2 or Boolean operator for use in A or B N base calculations or 3 not Boolean operator for use in not A N base calculations not 4 neg Boolean operator for use in neg A N base calculations neg 5 xor Boolean operator for use in A xor B N base calculations xor 6 xnor Boolean operator for use in A xnor B N base calculations xnor LIST A OPE 1 sortA S...

Page 302: ...ll Satisfies list element using fill value matrix name specified value fill value list name 5 seq Creates a sequential list seq equation initial using the value obtained value end value by inputting equation and increment changing the variable in the specified range 6 cumul Creates cumulative list and cumul list cumulative matrix cumul matrix name cumulative list with all lines cumul list name as ...

Page 303: ... from list list element list numerical value etc 2 max Find the largest value from max A B or max list list element numerical list value etc 3 mean Finds the mean from list mean list element frequency list of applicable only in list data calculation 4 median Finds the median of median list elements within a list frequency list of applicable only in list data calculation 5 sum Finds the total of li...

Page 304: ...a list quency list of data applicable only in list calculation 8 varian Finds variance of elements varian list within a list frequency list of applicable only in list data calculation C 1 StoLD Stores list database StoLD number L_DATA 0to9 LD0toLD9 2 RclLD Recalls list database RclLD number 0to9 LD0toLD9 STAT A EDIT Edit STAT list B OPE 1 sortA Sorts elements of STAT list sortA list name name in a...

Page 305: ...ble statistic 2_Stats X list name Y analysis list name frequency 3 ANOVA Executes one way scatter ANOVA list name 1 analysis list name 2 D REG 01 Med_Med Executes regression Med_Med X list calculation using the name Y list name median median method frequency list of data equation name for storing 02 Rg_ax b Executes linear regression Rg_ax b X list calculation name Y list name regression equation ...

Page 306: ...Executes quatric regression Rg_x4 Xlist calculation regression name Ylist name equation ax4 bx3 cx2 dx e frequency list of data equation name for storing 07 Rg_ln Executes natural logarithm Rg_ln Xlist regression calculation name Ylist name regression equation frequency list of a blnX data equation name for storing 08 Rg_log Executes logarithm Rg_log Xlist regression calculation using name Ylist n...

Page 307: ...Rg_logistic Xlist calculation regression name Ylist name equation c 1 ae bx frequency list of data equation name for storing 14 Rg_sin Executes sine regression Rg_sin iterations calculation regression Xlist Ylist frequen equation a sin bx c d 1 cy list of data Note The sin regression period equation procedure requires variable name complex calculations and might lengthen operation time 15 x Only f...

Page 308: ...two dimensional table 02 Ftest Two σs are compared and 2samp tested 03 Ttest Tests one µ when σ is 1samp unknown 04 Ttest Compares and tests two µs 2samp when σ is unknown 05 Ttest Tests regression slope and ρ Linreg 06 Tint1samp Calculates confidence bound of one µ when σ is unknown 07 Tint2samp Calculates confidence bound of two µs when σ is unknown 08 Ztest Tests one µ when σ is known 1samp 09 ...

Page 309: ...m Calculates normal pdfnorm distribution probability value mean density list not possible standard deviation 02 cdfnorm Calculates normal cdfnorm lower distribution probability limit upper limit list not possible mean standard deviation 03 InvNorm Calculates inverse function InvNorm surface of normcdf list not possible area mean standard deviation 04 pdfT Calculates t distribution pdfT value degre...

Page 310: ...on cdfF lower limit probability list not possible upper limit degree of freedom of numerator degree of freedom of denominator 10 pdfbin Calculates binary distribution pdfbin trial probability density number success List not possible list probability success possible only for successful number numbers 11 cdfbin Calculates binary distribution cdfbin trial number probability success probability List ...

Page 311: ... end Clears a straight line on a point x end point y graph list not possible Line start point x start point y end point x end point y 0 3 H_line Draws a horizontal line on H_line y coordinate graph list not possible 4 V_line Draws a vertical line on V_line x coordinate graph list not possible 5 T_line Draws a tangent line during T_line equation x on graph value of x list not possible 6 Draw Draws ...

Page 312: ... coord y coord mark value 3 PntCHG Draws a point when there PntCHG x coord y none and clears a point coord when there is 4 PxlON Draws a dot in the specified PxlON column row column and row dot coordinates on screen 5 PxlOFF Clears a dot in the specified PxlOFF column and row column row dot coordinates on screen 6 PxlCHG Changes the condition of dot PxlCHG flashing not flashing in the column row s...

Page 313: ...l invalid by equation units equation No1 Numerical equation No2 All equations are unselected when numerical equation No is omitted D LINE Set graph line type Press to open line type selection screen E 1 StoGD Stores graph database StoGD number 0 to G_DATA 9 GD0 to GD9 2 RclGD Recalls graph database RclGD number 0 to 9 GD0 to GD9 F PICT 1 StoPict Stores graph screen StoPict number 0 to picture 9 Pi...

Page 314: ...screen 3 In Enlarges graph display with In the cursor as the center 4 Out Reduces graph display with Out the cursor as the center 5 Default Draws graph by setting to Default the standard screen variable default setting values 6 Square Draws graph by making Square the pixel size of X and Y axis equal 7 Dec Draws graph by setting X Dec and Y to 0 1 8 Int Draws graph by setting X Int and Y to 1 9 Sta...

Page 315: ...X Draws graph using screen 10X settings most suited for drawing Y 10X 2 eX Draws graph using screen eX settings most suited for drawing Y eX 3 log x Draws graph using screen log x settings most suited for drawing Y log x 4 In x Draws graph using screen In x settings most suited for drawing Y ln x E TRIG 1 sin x Draws graph using screen sin x settings most suited for drawing Y sin x 2 cos x Draws g...

Page 316: ...ph using screen sinh x settings most suited for drawing Y sinh x 2 cosh x Draws graph using screen cosh x settings most suited for drawing Y cosh x 3 tanh x Draws graph using screen tanh x settings most suited for drawing Y tanh x 4 sinh 1 x Draws graph using screen sinh 1 x settings most suited for drawing Y sinh 1 x 5 cosh 1 x Draws graph using screen cosh 1 x settings most suited for drawing Y ...

Page 317: ...function 5 X_Incpt Finds the intersecting point X_Incpt of function and X axis 6 Y_Incpt Finds the intersecting point Y_Incpt of function and Y axis 7 Inflec Finds inflection point of a Inflec function FINANCE A Set the T V M solver Press to SOLVER execution mode display the SOLVER screen B CALC 01 slv_pmt Calculates individual slv_pmt N I PV payments FV P Y C Y 02 slv_I Calculates annual interest...

Page 318: ...lates investment Irr initial investment revenue rate list of collected investments frequency list of list on the right 08 Bal Calculates payment balance Bal number of payments decimal place for round calculation 09 ΣPrn Calculates principal sum ΣPrn initial payment included in payment balance number end payment number decimal place for round calculation 10 ΣInt Calculates the total sum ΣInt initia...

Page 319: ...of indi vidual payment period 2 PmtBegin Specifies that there are PmtBegin payments at the beginning of individual payment period D VARS 1 Total number of payments N 2 I Annual interest I 3 PV Present value PV 4 PMT Payment amount for each PMT payment period 5 FV Future value FV 6 P Y Number of payments per P Y year 7 C Y Compounding periods per C Y year PRGM A PRGM 1 Print Display command Print c...

Page 320: ...e 4 Gosub Subroutine call command Gosub label name 5 Return Return command Return C SCRN 1 ClrT Clears program text screen ClrT 2 ClrG Clears graph of program ClrG being executed 3 DispT Displays program text screen DispT 4 DispG Displays present graph DispG D I O 1 Get Receives command for Get variable name variable contents 2 Send Sends command for variable Send variable name contents E COORD 1 ...

Page 321: ... for sequence uw graphing sets u n to X axis and w n to Y axis 8 vw Sets axis for sequence vw graphing sets v n to X axis and w n to Y axis F FORM 1 RectCursor Sets coordinate display Rect Cursor format for rectangular graphs 2 Polar Sets coordinate display Polar Cursor Cursor format for polar graphs 3 ExprON Displays specified graph ExprON on screen 4 ExprOFF Deletes specified graph from ExprOFF ...

Page 322: ...tistic plot Plt1 Plt1 type Xlist S PLOT Freq for HIST B 2 Plt2 Specifies statistic plot Plt2 L N P N D Box 3 Plt3 Specifies statistic plot Plt3 and MBox Plt1 type Xlist Ylist Freq for S D and XYLINE H COPY 1 StoLine Stores one line of a program StoLine 2 RclLine Recall one line of a program RclLine VARS A Displays the graph equation Press to EQVARS variable selection screen display the equation se...

Page 323: ...t data 6 then StoLD L_Data6 transfers data to screen RclLD L_Data6 7 L_Data7 Selects list data 7 then StoLD L_Data7 transfers data to screen RclLD L_Data7 8 L_Data8 Selects list data 8 then StoLD L_Data8 transfers data to screen RclLD L_Data8 9 L_Data9 Selects list data 9 then StoLD L_Data9 transfers data to screen RclLD L_Data9 0 L_Data0 Selects list data 0 then StoLD L_Data0 transfers data to sc...

Page 324: ...ph data 0 then StoGD G_Data0 transfers data to screen RclGD G_Data0 F 1 Pict1 Selects picture data 1 then StoPict Pict1 PICTUR transfers data to screen RclPict Pict1 2 Pict2 Selects picture data 2 then StoPict Pict2 transfers data to screen RclPict Pict2 3 Pict3 Selects picture data 3 then StoPict Pict3 transfers data to screen RclPict Pict3 4 Pict4 Selects picture data 4 then StoPict Pict4 transf...

Page 325: ...nd TBLStep variable transfers it to screen name 3 TBLList Selects the variable value TBLList list name list for the present table and transfers it to screen H STAT Displays the statistic function Press to selection screen display statistic function graph screen EQVAR A XY 1 Y1 Selects graph equation Y1 Y1 then transfers it to screen 2 Y2 Selects graph equation Y2 Y2 then transfers it to screen 3 Y...

Page 326: ...ects graph equation Y1T Y1T then transfers it to screen 03 X2T Selects graph equation X2T X2T then transfers it to screen 04 Y2T Selects graph equation Y2T Y2T then transfers it to screen 05 X3T Selects graph equation X3T X3T then transfers it to screen 06 Y3T Selects graph equation Y3T Y3T then transfers it to screen 07 X4T Selects graph equation X4T X4T then transfers it to screen 08 Y4T Selects...

Page 327: ...s graph equation R4 R4 then transfers it to screen 5 R5 Selects graph equation R5 R5 then transfers it to screen 6 R6 Selects graph equation R6 R6 then transfers it to screen WINVAR A XY 1 Xmin Specifies the smallest value Xmin of the X axis of a graph screen then transfers it to screen 2 Xmax Specifies the largest value Xmax of the X axis of a graph screen then transfers it to screen 3 Xscl Speci...

Page 328: ...OUT then transfers it to screen 8 Y_Fact Specifies the Y axis direction Y_Fact magnification during ZOOM IN OUT then transfers it to screen B T 1 Tmin Specifies the smallest value Tmin of graph screen T then transfers it to screen 2 Tmax Specifies the largest value Tmax of T then transfers it to screen 3 Tstep Specifies the increment of T Tstep then transfers it to screen C θ 1 θmin Specifies the ...

Page 329: ...cifies the sequence u nMin value of u nMin then displays it on screen 4 v nMin Specifies the sequence v nMin value of v nMin then displays it on screen 5 w nMin Specifies the sequence w nMin value of w nMin then displays it on screen 6 PlotStart Specifies the first sequence PlotStart number to be plotted for sequence graphs then displays in on screen 7 PlotStep Specifies the increment of a PlotSte...

Page 330: ...s it on screen 4 Zm_Ymin Specifies Ymin prior to Zm_Ymin executing the ZOOM function then displays it on screen 5 Zm_Ymax Specifies Ymax prior to Zm_Ymax executing the ZOOM function then displays it on screen 6 Zm_Yscl Specifies Yscl prior to Zm_Yscl executing the ZOOM function then displays it on screen B STOT 1 Zm_Tmin Specifies Tmin prior to Zm_Tmin executing the ZOOM function then displays it ...

Page 331: ... it on screen 2 Zm_θmax Specifies θmax prior to Zm_θmax executing the ZOOM function then displays it on screen 3 Zm_θstp Specifies θstep prior to Zm_θstp executing the ZOOM function then displays it on screen D 1 Zm_nMin Specifies nMin prior to Zm_nMin STOSEQ executing the ZOOM function then displays it on screen 2 Zm_nMax Specifies nMax prior to Zm_nMax executing the ZOOM function then displays i...

Page 332: ...tart Zm_PltStart value prior to executing the ZOOM function then displays it on screen 7 Zm_PltStp Specifies the PlotStp value Zm_PltStp prior to executing the ZOOM function then displays it on screen STAT A XY 01 n Specifies statistical sam n VAR ple number then displays it on screen 02 x Specifies mean of x then x displays it on screen 03 sx Specifies sample standard sx deviation of x then displ...

Page 333: ...umulative sum of Σxy x y then displays it on screen 10 y Specifies mean of y then y displays it on screen 11 sy Specifies sample standard sy deviation of y then displays it on screen 12 σy Specifies population σy standard deviation of y then displays it on screen 13 ymin Specifies smallest value of ymin y then displays it on screen 14 ymax Specifies largest value of ymax sample y then displays it ...

Page 334: ...pecifies linear regression c coefficient c then transfers it to screen 5 d Specifies linear regression d coefficient d then transfers it to screen 6 e Specifies linear regression e coefficient e then transfers it to screen 7 r Specifies coefficient of r correlation r then transfers it to screen 8 r2 Specifies coefficient of r2 correlation r2 then transfers it to screen 9 R2 Specifies coefficient o...

Page 335: ...per part for Med_Med law 4 y1 Median summary point of y y1 of lower part for Med_Med law 5 y2 Median summary point of y y2 of center part for Med_Med law 6 y3 Median summary point of y y3 of upper part for Med_Med law 7 Q1 Specifies median Q1 of Q1 Med and Xmin then displays it on screen 8 Med Specifies median Med of a Med data then displays it on screen 9 Q3 Specifies median Q3 of Q3 Xmax and Med...

Page 336: ...e of freedom df df then displays it on screen 07 p Specifies estimated sample p proportion then displays it on screen 08 p1 Specifies estimated sample p1 proportion of population 1 then displays it on screen 09 p2 Specifies estimated sample p2 proportion of population 2 then displays it on screen 10 s Specifies standard line error s s then displays it on screen 11 n1 Specifies number of data n1 po...

Page 337: ...splays it on screen 17 sxp Specifies standard deviation sxp sxp for pooling then displays it on screen 18 lower Specifies confidence bound lower lower limit lower then displays it on screen 19 upper Specifies confidence bound upper upper limit upper then displays it on screen MATRIX A NAME 1 mat A Specifies matrix A then mat A displays it on screen 2 mat B Specifies matrix B then mat B displays it...

Page 338: ...lays it on screen 0 mat J Specifies matrix J then mat J displays it on screen B EDIT 1 mat A Specifies edit mode of mat A matrix A 2 mat B Specifies edit mode of mat B matrix B 3 mat C Specifies edit mode of mat C matrix C 4 mat D Specifies edit mode of mat D matrix D 5 mat E Specifies edit mode of mat E matrix E 6 mat F Specifies edit mode of mat F matrix F 7 mat G Specifies edit mode of mat G ma...

Page 339: ...reates cumulative list and cumul list cumul cumulative matrix matrix name cumulative list with lines as cumul list name one list 04 augment Augments two lists augment C D C and D are lists matrix names or list names 05 identity Creates a simple matrix identity matrix size 06 rnd_mat Creates a random matrix rnd_mat row column 07 row_swap Swaps rows of matrices row_swap matrix name swap row A swap r...

Page 340: ... columns of a matrix mat list line number list name 12 list mat Satisfies a matrix with line list mat list or list units by elements from name 1 matrix individually specified lists name D MATH 1 det Executes calculation of a det matrix matrix equation 2 trans Exchanges row and column trans matrix finds transposed matrix 3 rowEF Returns the row echelon rowEF matrix form of a matrix 4 rrowEF Returns...

Page 341: ...mOFF Does not draw limit line on LimOFF statistic graph E ON 1 PlotON Makes Plot1 Plot3 valid Plot ON OFF 2 PlotOFF Do not display plot1 plot3 Plot OFF STAT A HIST 1 Hist Specifies histogram Hist GRAPH B B L 1 Broken specifies broken line Broken plot using data point 2 Broken specifies broken line Broken plot using data point 3 Broken specifies broken line Broken plot using data point C N P 1 Norm...

Page 342: ...ta point 4 Norm _Y Specifies X coordinate as in Norm _Y verse conversion value z of normal distribution Y coordinate as data value and data point as 5 Norm _Y Specifies X coordinate as Norm _Y inverse conversion value z of normal distribution Y coordinate as data value and data point as 6 Norm _Y Specifies X coordinate as Norm _Y inverse conversion value z of normal distribution Y coordinate as da...

Page 343: ...nes on either side are Q3 Q1 1 5 Uses to draw data points including Xmin and Xmax of the lines that are on the outside 3 MBox Specifies modified box plot MBox The lines on either side are Q3 Q1 1 5 Uses to draw data points including Xmin and Xmax of the lines that are on the outside G S D 1 Scattr Specifies scatter diagram Scattr with as data points 2 Scattr Specifies scatter diagram Scattr with a...

Page 344: ...elete existing List lists 2 Matrix Sets mode to delete existing Matrix matrices 3 Graph Eqn Sets mode to delete existing Graph Eqn graphs 4 Solver Eqn Sets mode to delete existing Solver Eqn solvers 5 Program Sets mode to delete existing Program programs 6 Picture Sets mode to delete existing Picture Pict data 7 G_DATA Sets mode to delete existing G_DATA graph data 8 L_DATA Sets mode to delete exi...

Page 345: ...rices Matrix 04 Graph Eqn Selects only graph function Graph Eqn equations 05 Solver Eqn Selects only Solver data Solver Eqn 06 Program Selects only program data Program 07 G_DATA Selects only graph data G_DATA 08 L_DATA Selects only list data L_DATA 09 Picture Selects only picture data Picture 10 Slide Selects only self made slide Slide shows 11 A Z θ Selects only the data stored A Z θ in constant...

Page 346: ... 1 X of Y cos 1 X 8 Y ln X Opens the slide show screen Y ln X of Y lnX B ORG Opens the self made slide show screen C NEW Opens the self made slide show create screen D EDIT 1 MOVE Opens the screen move MOVE mode of the self made slide show screen 2 DEL Open the delete mode of the DEL self made slide show screen 3 RENAME Opens the rename mode of RENAME the self made slide show screen SHIFT A SHIFT ...

Page 347: ...ens the SHIFT screen of Y X Y X B 1 Y X2 Opens the CHANGE screen Y X2 CHANGE of Y X2 2 Y X Opens the CHANGE screen Y X of Y X 3 Y X Opens the CHANGE screen Y X of Y X 4 Y ex Opens the CHANGE screen Y ex of Y ex 5 Y sin X Opens the CHANGE screen Y sin X of Y sinX 6 Y tan X Opens the CHANGE screen Y tan X of Y tanX TOOL A NBASE Sets to N base mode B 2 2 Sets to mode that solves SYSTEM simultaneous l...

Page 348: ...s linear equations with six unknown values C POLY 2 2 Sets to mode that solves quadratic equations 3 3 Sets to mode that solves cubic equations SOLVER A 1 Equation Solves equation directly from Equation SOLVER METHOD the numerical equation 2 Newton Solves equation from graph Newton 3 Graphic Solves equation from graph Graphic B EQTN Recalls equation registered with SOLVER C SAVE Opens the register...

Page 349: ...339 APPENDIX When coordinate system is Rect param or polar ...

Page 350: ...340 APPENDIX When coordinate system is Seq F STYLE2 E STYLE1 ...

Page 351: ...341 APPENDIX When coordinate system is Polar Param or Seq When coordinate system is Rect MATH menu on the NBASE calculation ...

Page 352: ...342 APPENDIX ...

Page 353: ...343 APPENDIX on Program screen ...

Page 354: ...344 APPENDIX ...

Page 355: ...345 APPENDIX ...

Page 356: ...346 APPENDIX ...

Page 357: ...347 APPENDIX ...

Page 358: ...348 APPENDIX ...

Page 359: ...ALC finance 207 308 348 σ x statistics 158 160 Σ x statistics 158 160 Σ x2 statistics 158 160 Σ xy statistics 158 161 σ y statistics 158 161 Σ y statistics 158 161 Σ y2 statistics 158 161 1_Stats CALC STAT 160 295 341 2_Stats CALC STAT 157 161 295 341 2x 2 raised to the Xth power 54 285 340 10x EXP exponents 52 102 305 342 A A Z θ memory 74 ab powers 52 abs absolute 56 287 340 abs absolute complex...

Page 360: ...41 ANOVA 161 295 341 CALC function graph 87 117 307 341 CALC functions graph Inflec inflection 117 120 307 341 Intsct intersection 117 118 307 341 Maximum 117 119 307 341 Minimum 117 119 307 341 Value 117 118 307 341 X_Incpt X axis intersection 117 119 307 341 Y_Incpt Y axis intersection 117 120 307 341 calculation FINANCE 197 204 209 graph 87 117 120 LIST 146 MATRIX 138 range 276 calculation of S...

Page 361: ... cosh 1 inverse hyperbolic functions 55 286 340 cosh 1 X TRIG ZOOM graph 102 306 342 coshX TRIG ZOOM graph 102 306 342 cosX TRIG ZOOM graph 102 305 342 cot trigonometric functions 55 286 340 cot 1 inverse trigonometric functions 55 286 340 csc trigonometric functions 55 286 340 csc 1 inverse trigonometric functions 55 286 340 CTRST contrast option 259 334 346 cubic equations 77 338 347 cumul cumul...

Page 362: ...8 301 342 DRAW DRAW operations 106 107 301 342 Draw Inv Draw inverse DRAW 109 301 342 DRAW menu 106 DRAW operations DRAW 106 107 301 342 G_DATA 106 114 303 342 LINE 103 106 303 342 ON OFF 106 113 303 342 PICT 106 115 303 342 POINT 106 111 302 342 SHADE 88 106 303 342 dx integral functions 54 286 340 E edit MATRIX 135 328 345 PROGRAM 240 330 345 SLIDE SHOW 226 336 347 STAT statistics 162 294 341 ED...

Page 363: ...ex 23 283 339 fraction display method SET UP 23 282 339 Freq Frequency 160 165 178 182 Ftest2samp TEST STAT 180 298 341 function key board 2 functions complex number 69 70 FV future value VARS finance 200 309 348 G G_DATA graph RclGD recall G_DATA 114 303 342 StoGD store G_DATA 114 303 342 G_DATA DEL Delete File 260 334 346 G_DATA DRAW operations 106 114 303 342 G_DATA VARS PRGM 252 312 343 G_DATA...

Page 364: ... 299 341 InputStats TEST STAT 178 299 341 insert key 11 int 56 287 340 Int ZOOM 101 304 342 integral functions 54 285 340 dx 54 286 340 Intsct intersection CALC functions 117 118 307 341 inverse hyperbolic functions cosh 1 55 286 340 sinh 1 55 286 340 tanh 1 55 286 340 inverse trigonometric functions cos 1 52 cot 1 55 286 340 csc 1 55 286 340 sec 1 55 86 340 sin 1 52 tan 1 52 InvNorm DISTRI STAT 1...

Page 365: ...number 56 287 340 PROB 58 288 340 MATH LIST max 152 293 341 mean 152 293 341 median 152 293 341 min 152 293 341 prod 153 294 341 stdDv standard deviation 153 294 341 sum 153 293 341 varian variance 153 294 341 MATH MATRIX det 143 330 345 rowEF row echelon form 143 330 345 rrowEF reduced row echelon form 144 330 345 trans transpose 143 330 345 MATH menu 53 284 340 MATRIX brackets 144 330 345 EDIT 1...

Page 366: ...0 VARS graphing functions 252 312 343 OFF EXPRESS graph 97 283 339 OFF power 2 7 OFF Y graph 97 283 339 ON EXPRESS graph 97 283 339 ON power 2 ON Y graph 97 283 339 ON OFF 106 113 168 303 342 331 346 ON OFF DRAW operations 106 113 303 342 ON OFF statplot PlotOFF 331 346 PlotON 331 346 One line editor 24 283 339 OPE operations LIST augment 151 292 341 cumul cumulative list 150 292 341 df_list diffe...

Page 367: ... payments end PERIOD FINANCE 200 309 348 PntCHG point change POINT graph 112 302 342 PntOFF point OFF POINT graph 112 302 342 PntON point ON POINT graph 112 302 342 POINT graph PntCHG point change POINT 112 302 342 PntOFF point OFF POINT 112 302 342 PntON point ON POINT 112 302 342 PxlCHG 112 302 342 PxlOFF 112 302 342 PxlON 112 302 342 PxlTST 112 302 342 POINT DRAW operations 106 111 302 342 Pola...

Page 368: ... 23 282 339 Rect rectangular COORD coordinate 22 282 339 Rect COORD PRGM 248 310 343 RectCoord CURSOR graph 97 283 339 RectCursor FORM PRGM 249 311 343 REG regressions Med_Med median median method 172 295 341 Rg_a bx 172 295 341 Rg_abx 173 296 341 Rg_aebx 173 297 341 Rg_ax b 172 295 341 Rg_axb 174 297 341 Rg_ln 173 296 341 Rg_log 173 296 341 Rg_logistic 174 297 341 Rg_sin 174 297 341 Rg_x 1 174 29...

Page 369: ...AW graph 109 301 342 SHADE menu 88 shading function graph 88 SHIFT equation recall 230 233 336 347 SHIFT equation store 230 SHIFT function 229 336 347 SHIFT CHANGE function CHANGE function 236 337 347 SHIFT function 229 336 347 SHIFT CHANGE function 229 238 simple interest 197 Simul FORM 250 312 343 Simul simultaneous STYLE2 FORMAT graph 98 284 339 340 simultaneous linear equations 76 337 347 sin ...

Page 370: ...TH LIST 153 294 341 step Newton calculation of SOLVER 214 Stoline store program line copy PRGM 251 312 343 STO store ZOOM menu 100 102 306 342 store memory key 74 StoGD store G_DATA graph 114 303 342 StoLD store L_DATA LIST 154 294 341 StoLine store program line 251 312 343 StoPict store Pict PICT graph 115 303 342 store CHANGE equation 237 SHIFT equation 230 SLIDE SHOW 224 SOLVER equation 217 Sto...

Page 371: ...er menu STOWIN VAR PRGM 252 321 344 Time TYPE Seq graph 98 284 340 Time COORD PRGM 248 311 343 Tint1samp TEST STAT 183 298 341 Tint2samp TEST STAT 184 298 341 TOOL NBASE 76 337 347 POLY 77 338 347 SYSTEM 76 337 347 touch pen 7 37 trace function change graph 85 graph 84 STAT graph 169 trans transpose MATH MATRIX 143 330 345 TRIG ZOOM graph cos 1 X 102 306 342 cosh 1 X 102 306 342 coshX 102 306 342 ...

Page 372: ...g store recall 102 306 342 X statistics 158 160 x REG 174 297 341 X_Incpt X axis intersection CALC functions 117 119 307 341 x yi Complex fraction display method 23 283 339 x 1 reciprocal 52 xmax statistics 158 160 xmin statistics 158 160 xnor LOGIC 68 291 341 xor LOGIC 68 291 341 Xth roots a 51 XY equation menu EQVARS PRGM 252 315 344 XY stat menu 252 322 323 345 XY window menu WINDOW VARS 252 31...

Page 373: ... 128 RCL recall 100 102 306 342 STO store 100 102 306 342 TRIG 100 102 305 342 ZOOM 100 304 342 ZOOM window 100 ZOOM ZOOM menu 100 304 342 ZOOM graph 82 100 304 342 Ztest1prop TEST STAT 186 298 341 Ztest1samp TEST STAT 185 298 341 Ztest2prop TEST STAT 187 298 341 Ztest2samp TEST STAT 186 298 341 ...

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