Casio fx-3650P II User Manual Download Page 57

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A-1

Practical Examples/Ejemplos prácticos

Program Library

Biblioteca de programas

Problem:

Quadratic Equation

Create a program that solves the quadratic equation

= 0 for

when values are provided for

, and

Problema:

Ecuación cuadrática

Crear un programa que resuelva la ecuación cuadrática

= 0

para

, cuando se proporcionan valores para

= (–

– 4

)/2

(

– 4

Program

Press

to display the Edit Prog screen. Input a value from 1 to

4 to select a program number (P1 through P4), and then input the program
below.

Programa

Presione

para visualizar la pantalla Edit Prog. Ingrese un

valor de 1 a 4 para seleccionar un número de programa (P1 a P4), y luego
ingrese el programa siguiente.

Lbl 0: ?

→

A: ?

→

B: ?

→

C: B

– 4AC

→

D: D = 0

Goto 1: D > 0

Goto 2: Goto 0: Lbl 2: (– B –

√

–

(2A)

→

X: X

Lbl 1: (– B +

√

–

(2A)

→

X: X

Summary of Contents for fx-3650P II

Page 1: ...fx 3650P fx 3950P User s Guide Guía del usuario http world casio com edu_e E S ...

Page 2: ...CASIO ELECTRONICS CO LTD Unit 6 1000 North Circular Road London NW2 7JD U K ...

Page 3: ...E 1 ENGLISH ...

Page 4: ...heat or dispose of them by incineration Misuse of batteries can cause them to leak and damage nearby items and can create the risk of fire and personal injury Always make sure that the battery s positive k and negative l ends are facing correctly when you load it into the calculator Remove the battery if you do not plan to use the calculator for a long time fx 3950P Use only the type of battery sp...

Page 5: ... this it may require replacement sooner than the normal expected battery life Low battery power can cause memory contents to become corrupted or lost completely Always keep written records of all important data Avoid use and storage in areas subjected to temperature extremes Very low temperatures can cause slow display response total failure of the display and shortening of battery life Also avoid...

Page 6: ... calculator with a ballpoint pen or other pointed object Use a soft dry cloth to clean the exterior of the calculator If the calculator becomes very dirty wipe it off with a cloth moistened in a weak solution of water and a mild neutral household detergent Wring out all excess moisture before wiping the calculator Never use thinner benzene or other volatile agents to clean the calculator Doing so ...

Page 7: ... 12 k Percentage Calculations 13 k Degrees Minutes Seconds Calculations 14 k FIX SCI RND 14 Memory Calculations 15 k Answer Memory 16 k Consecutive Calculations 16 k Independent Memory 16 k Variables 17 Complex Number Calculations 17 k Absolute Value and Argument Calculation 18 k Rectangular Form Polar Form Display 18 k Conjugate of a Complex Number 19 Base n Calculations 19 Scientific Function Ca...

Page 8: ...Programming a Calculation 35 Storing a Program 36 k Editing a Program 38 Executing a Program 38 Deleting a Program 40 Useful Program Commands 40 k Program Command Menus 40 k Unconditional Jump 41 k Conditional Jump Using a Relational Operator 42 k Other Program Statements 42 Statistical Data Memory and Program Memory 44 k Statistical Data 44 k Programs 45 Technical Information 46 k When you have a...

Page 9: ... then the key to perform the marked function 3 M Red p Press p and then the key to perform the marked function 4 DT Blue In the SD and REG Modes 5 CL Orange In the SD and REG Modes A In blue Press A and then the key to perform brackets the marked function 6 Orange In the CMPLX Mode A D In purple Press A and then the key to perform brackets the marked function 7 A Red p D Press p and then the key t...

Page 10: ... initial defaults shown below press A B 2 Mode Calculation Mode COMP Angle Unit Deg Exponential Display Format Norm 1 Complex Number Display Format a bi Fraction Display Format ab c Mode indicators appear in the upper part of the display except for the BASE indicators which appear in the exponent part of the display To perform this type of Perform this To enter operation key operation this mode Ba...

Page 11: ...emory is running low If you need to input more than 79 steps you should divide your calculation into two or more parts Pressing the g key recalls the last result obtained which you can use in a subsequent calculation See Answer Memory for more information about using the g key kMaking Corrections During Input Use e and r to move the cursor to the location you want Press to delete the number or fun...

Page 12: ...en you change from one calculation mode to another When you turn off the calculator kError Locator Pressing r or e after an error occurs displays the calculation with the cursor positioned at the location where the error occurred kExponential Display Formats This calculator can display up to 10 digits Larger values are automatically displayed using exponential notation In the case of decimal value...

Page 13: ...l places All of the examples in this manual show calculation results using the Norm 1 format kInitializing the Calculator Reset Operation Performing the key operation below initializes the calculation mode and setup and clears replay memory variables and all programs A B 3 All Basic Calculations kArithmetic Calculations Use the F key to enter the COMP Mode when you want to perform basic calculatio...

Page 14: ...e 4 1 6 2 1 1 C 2 1 6 Results of calculations that mix fraction and decimal values are always decimal u Decimal Fraction Conversion Use the operation shown below to convert calculation results between decimal values and fraction values Note that conversion can take as long as two seconds to perform Example 1 2 75 2 Decimal Fraction 2 75 2 75 C A B Example 2 0 5 Fraction Decimal 1 C 2 C C 1 5 2 3 1...

Page 15: ...ss the number key 1 or 2 that corresponds to the setting you want to use 1 ab c Mixed fraction 2 d c Improper fraction An error occurs if you try to input a mixed fraction while the d c display format is selected kPercentage Calculations Example 1 To calculate 12 of 1500 180 1500 12 A v Example 2 To calculate what percentage of 880 is 660 75 660 880 A v Example 3 To add 15 onto 2500 2875 2500 15 A...

Page 16: ...n a value is increased from 40 to 46 How about to 48 15 20 46 40 A v e e e e e e 8 kDegrees Minutes Seconds Calculations You can perform sexagesimal calculations using degrees hours minutes and seconds and convert between sexagesimal and decimal values Example 1 To convert the decimal value 2 258 to a sexagesimal value and then back to a decimal value 2 258 2 258 A O 2 15 28 8 I 2 258 Example 2 To...

Page 17: ...00 7 14 The following performs the same calculation using the specified number of decimal places 200 7 Internal rounding A Q 14 Press F 3 Norm 1 to clear the Fix specification Example 2 1 3 displaying result with two significant digits Sci 2 F 2 Sci 2 1 3 Press F 3 Norm 1 to clear the Sci specification Memory Calculations Use the F key to enter the COMP Mode when you want to perform a calculation ...

Page 18: ... Calculations You can use the calculation result that is currently on the display and also stored in Answer Memory as the first value of your next calculation Note that pressing an operator key while a result is displayed causes the displayed value to change to Ans indicating it is the value that is currently stored in Answer Memory The result of a calculation can also be used with a subsequent Ty...

Page 19: ...CMPLX Mode when you want to perform calculations that include complex numbers CMPLX F 2 The current angle unit setting Deg Rad Gra affects CMPLX Mode calculations Note that you can use variables A B C and M only in the CMPLX Mode You cannot use variables D X and Y The indicator R I in the upper right corner of a calculation result display indicates a complex number result Press A r to toggle the d...

Page 20: ...g r 5 53 13010235 r 5 A A R 3 4 i T 53 13010235 A a R 3 4 i T The complex number can also be input using the polar form r Example 2 2 45 1 i Angle unit Deg L 2 A Q 45 A r kRectangular Form Polar Form Display You can use the operation described below to convert a rectangular form complex number to its polar form and a polar form complex number to its rectangular form Press A r to toggle the display...

Page 21: ...culations can be performed using binary octal and hexadecimal values You can specify the default number system to be applied to all input and displayed values and the number system for individual values as you input them You cannot use scientific functions in binary octal decimal and hexadecimal calculations You cannot input values that include decimal part and an exponent If you input a value tha...

Page 22: ...mode t b 0 b 10111 11010 110001 b Example 2 To convert the value 2210 to its binary octal and hexadecimal equivalents 101102 268 1616 Binary mode t b 0 b l l l 1 d 22 10110 b Octal mode o 26 o Hexadecimal mode h 16 H Example 3 To convert the value 51310 to its binary equivalent Binary mode t b 0 b l l l 1 d 513 a M t h ERROR b You may not be able to convert a value from a number system whose calcu...

Page 23: ...ecimal mode K 301 d Scientific Function Calculations Use the F key to enter the COMP Mode when you want to perform basic arithmetic calculations COMP F 1 Certain types of calculations may take a long time to complete Wait for the result to appear on the display before starting the next calculation π 3 14159265359 kTrigonometric Inverse Trigonometric Functions To change the default angle unit degre...

Page 24: ... 741 kHyperbolic Inverse Hyperbolic Functions Example 1 sinh 3 6 18 28545536 M S 3 6 Example 2 sinh 1 30 4 094622224 M A j 30 kCommon and Natural Logarithms Antilogarithms Example 1 log 1 23 0 089905111 R 1 23 Example 2 In 90 loge 90 4 49980967 T 90 ln e 1 T p P Example 3 e10 22026 46579 A U 10 Example 4 101 5 31 6227766 A Q 1 5 Example 5 2 4 16 R D 2 T W 4 Negative values included in a calculatio...

Page 25: ... a Example 7 8 40320 8 A f Example 8 To generate a random number between 0 000 and 0 999 A M The above value is a sample only Results differ each time Example 9 3π 9 424777961 3 A x Example 10 To determine how many different 4 digit values can be produced using the numbers 1 through 7 Numbers cannot be duplicated within the same 4 digit value 1234 is allowed but 1123 is not 840 7 A m 4 Example 11 ...

Page 26: ...Deg 4 25 A v 2 R kCoordinate Conversion Pol x y Rec r θ Calculation results are automatically assigned to variables X and Y Example 1 To convert polar coordinates r 2 60 to rectangular coordinates x y Angle unit Deg x 1 A F 2 P 60 T y 1 732050808 0 y Press 0 x to display the value of x or 0 y to display the value of y 1 2 3 D R G 243 5070629 4 25r u Rectangular Coordinates u Polar Coordinates ...

Page 27: ...5 10 3 0 08125 J Statistical Calculations Standard Deviation Use the F key to enter the SD Mode when you want to perform statistical calculations using standard deviation SD F F 1 Always start data input with A B 1 Scl to clear statistical memory Input data using the key sequence shown below x data S Input data is used to calculate values for n Σx Σx2 o σn and σn 1 which you can recall using the k...

Page 28: ...input multiple entries of the same data by specifying the frequency x data A G frequency S Example To input the data 110 ten times 110 A G 10 S While inputting data or after inputting data is complete you can use the and keys to scroll through data you have input If you input multiple entries of the same data using A G to specify the data frequency number of data items as described above scrolling...

Page 29: ...s however you will not be able to display or edit any of the data you have input For information about the number of data items that can be stored in memory see Statistical Data Memory and Program Memory on page 44 To delete data you have just input press A U After inputting statistical data in the SD Mode or REG Mode you will be unable to display or edit individual data items any longer after per...

Page 30: ... 2 3 L i n Log Exp 1 2 3 Pw r Inv Quad Press the number key 1 2 or 3 that corresponds to the type of regression you want to use 1 Lin Linear regression 2 Log Logarithmic regression 3 Exp Exponential regression r 1 Pwr Power regression r 2 Inv Inverse regression r 3 Quad Quadratic regression Always start data input with A B 1 Scl to clear statistical memory Input data using the key sequence shown b...

Page 31: ...2 and sample covariance The following table shows the key operations you should use to recall results in the case of quadratic regression To recall this type of value Perform this key operation yσn A X r 2 yσn 1 A X r 3 Regression coefficient A A X r r 1 Regression coefficient B A X r r 2 Regression calculation other than quadratic regression Correlation coefficient r A X r r 3 m A X r r r 1 n A X...

Page 32: ...at 18 C 1007 48 18 A X r r r 2 Temperature at 1000 hPa 4 642857143 1000 A X r r r 1 Coefficient of Determination 0 965517241 A X r r 3 K Sample Covariance 35 E A U r 3 A U 3 A X 1 A X r 1 F E A U 3 1 F u Logarithmic Exponential Power and Inverse Regression Use the same key operations as linear regression to recall results for these types of regression The following shows the regression formulas fo...

Page 33: ...fficient B 1 495939413 A X r r 2 Regression Coefficient C 6 71629667 10 3 A X r r 3 n when xi is 16 13 38291067 16 A X r r r 3 m1 when yi is 20 47 14556728 20 A X r r r 1 m2 when yi is 20 175 5872105 20 A X r r r 2 After inputting data you can perform the key operations that calcutate statistical results regression coefficients n m1 etc in any order You do not need to follow the order shown above ...

Page 34: ...2 Σlnx 2 n Σ lny 2 Σlny 2 n Σlnxlny Σlnx Σlny u Correlation coefficient r u Regression coefficient A A n Σy B Σx u Regression coefficient B B n Σx2 Σx 2 n Σxy Σx Σy r n Σx2 Σx 2 n Σy2 Σy 2 n Σxy Σx Σy u Correlation coefficient r u Regression coefficient A A n Σy B Σlnx u Regression coefficient B B n Σ lnx 2 Σlnx 2 n Σ lnx y Σlnx Σy r n Σ lnx 2 Σlnx 2 n Σy2 Σy 2 n Σ lnx y Σlnx Σy 2 Logarithmic Regr...

Page 35: ...Σx 2 Σx Σx2 C Sx2 y Sxx Sxy Sxx2 Sxx Σx2 Sxy Σxy Sxx2 Σx3 Sx2 x2 Σx4 Sx2 y Σx2 y n n Σx2 2 n n Σx2 Σy n Σx Σy 5 Inverse Regression y A Bⴢ1 x u Correlation coefficient r u Regression coefficient A A n Σy B Σx 1 u Regression coefficient B B Sxx Sxy r Sxx Σ x 1 2 Syy Σy2 Sxy Σ x 1 y Sxx Syy Sxy n Σx 1 2 n Σx 1 Σy n Σy 2 6 Quadratic Regression y A Bx Cx2 ...

Page 36: ...put of x if you want The calculator automatically substitutes an appropriate value for x if you do not input one Discontinuous points and extreme changes in the value of x can cause inaccurate results and errors Integration Calculations The procedure described below obtains the definite integral of a function Use the F key to enter the COMP Mode when you want to perform integration calculations CO...

Page 37: ...rograms Condition Minute shifts in the integration interval which causes large change in the integration value Periodic functions or positive and negative integration values depending on the interval Countermeasure Divide the integration interval dividing sections that fluctuate widely into smaller intervals Separate positive and negative parts and add each together Programming a Calculation This ...

Page 38: ...og Mode which displays the screen shown below A B C 2 2 Select the program number P1 to P4 to which you want to assign the program Ex 2 Program P2 P 1234 308 Ed i t Pr og PRGM If there is already a program in memory its number appears on the display Remaining capacity bytes 000 PRGM Number of bytes used by program P2 PRGM 3 Input the program Program A B C A B C 2 D D D A D B D C Ans To input a col...

Page 39: ...d of a colon Note that you do not need to include an output command at the end of the program You can also specify a mode when inputting a program The mode you specify is stored along with the program You can specify different modes for programs P1 P2 P3 and P4 While the Edit Prog screen in step 1 under Storing a Program page 36 is on the display use the F key to specify the mode you want The foll...

Page 40: ... cursor location Use the insert cursor page 9 when you want to insert a new statement into a program Executing a Program The procedure in this section shows how to execute a program in the COMP Mode Perform the following key operation to enter the COMP Mode COMP F 1 Example To create a program that uses Heron s formula to calculate the area of a triangle whose three sides measure A 30 B 40 C 50 1 ...

Page 41: ...hat you can use the F key to select the settings shown below only Program execution is automatically cancelled if you try to select any other mode or setting Deg Rad Gra Fix Sci Norm Dec Hex Bin Oct To cancel further program execution press t u Errors During Program Execution If an error message appears on the display during program execution press the e or r key to automatically enter the Edit Pr...

Page 42: ...cted disappears from the upper part of the display and remaining memory capacity increases by the size of the deleted program Note that the only way to delete all the programs in memory P1 through P4 is to perform the reset operation page 11 Useful Program Commands In addition to mathematical calculations there are also a number of useful program commands you can use to perform loops and define co...

Page 43: ...tional jump command Goto n is executed processing jumps to the label Lbl n whose n value matches the n value of the unconditional jump command You can specify an integer from 0 to 9 for n You can also use the unconditional jump command and label to create an unconditional loop which repeat a part of the program a specific number of times To do this put a label such as Lbl 1 which is used in the ex...

Page 44: ... Statement 2 3 1 Assigns 0 to variable B 2 Assigns the input value to variable A 3 If A 0 is true Statement 1 Goto 2 is executed If false execution advances to Statement 2 without executing Statement 1 u Relational Operator Notes The relational operators you can use in a program are G A relational operation that is true returns a value of 1 while a false relational operation returns a value of 0 F...

Page 45: ...a data item that has a single occurrence Example 2 To determine regression coefficients A B and C for the following data A 3 B 2 C 1 REG Quad Mode Scl 3 6 2 DT 4 11 DT 6 27 2 DT A B C A B and C are not variable names They are regression coefficients u Memory Calculations You can perform memory calculations in a program by inserting M and M Example 2 3 M u Percent Calculations You can perform perce...

Page 46: ...e uses 40 bytes of memory 30 A G 2 S 27 A G 1 S 32 A G 5 S The memory area indicated as a in the above illustration is exclusively for statistical data items Since this area has 256 bytes it can contain up to 32 individual frequency 1 x data items 256 bytes 8 bytes per data item 32 When memory area a becomes full statistical data items are stored in the free space space not being used for program ...

Page 47: ...d the program memory area b that does not contain program data You can also delete program data you no longer need to free up space for further statistical data input kPrograms Each function you input into program memory takes up either one byte or two bytes of memory as shown below 1 byte Functions sin cos log A B C 1 2 Fix 3 etc 2 byte Functions Goto 1 Lbl 2 etc Pressing e or r while a program i...

Page 48: ...or Messages The calculator is locked up while an error message is on the display Press t to clear the error or press e or r to display the calculation and correct the problem See Error Locator for details Math ERROR Causes Calculation result is outside the allowable calculation range An attempt to perform a function calculation using a value that exceeds the allowable input range An attempt to per...

Page 49: ...er use of an argument Action Press e or r to display the location of the cause of the error and make required corrections Go ERROR Cause A Goto n command does not have a corresponding Lbl n label Action Correctly input an Lbl n label that corresponds to the existing Goto n command or delete the Goto n command if it is not required kOrder of Operations Calculations are performed in the following or...

Page 50: ...n format in front of Type B functions 2 3 Alog2 etc 8Permutation and combination nPr nCr 9 0 G and xnor xor or Operations of the same precedence are performed from right to left ex In 120 ex In 120 Other operations are performed from left to right Operations enclosed in parentheses are performed first When a calculation contains an argument that is a negative number the negative number must be enc...

Page 51: ...mand stack according to their precedence during calculations The numeric stack has 10 levels and the command stack has 24 levels A stack error Stack ERROR occurs whenever you try to perform a calculation that is so complex that the capacity of a stack is exceeded Calculations are performed in sequence according to Order of Operations Commands and values are deleted from the stack as the calculatio...

Page 52: ...e as sinx except when x 2n 1 90 tanx RAD Same as sinx except when x 2n 1 π 2 GRA Same as sinx except when x 2n 1 100 sin 1 x 0 x 1 cos 1 x tan 1 x 0 x 9 999999999 1099 sinhx 0 x 230 2585092 coshx sinh 1 x 0 x 4 999999999 1099 cosh 1 x 1 x 4 999999999 1099 tanhx 0 x 9 999999999 1099 tanh 1 x 0 x 9 999999999 10 1 logx lnx 0 x 9 999999999 1099 10x 9 999999999 1099 x 99 99999999 ex 9 999999999 1099 x ...

Page 53: ... b c 1 10100 0 b c x 1 10100 Decimal Sexagesimal Conversions 0 0 0 x 999999 59 x 0 1 10100 ylogx 100 xy x 0 y 0 x 0 y n n m are integers However 1 10100 ylog x 100 y 0 x G 0 1 10100 1 x logy 100 x y y 0 x 0 y 0 x 2n 1 n G 0 n is an integer However 1 10100 1 x log y 100 ab c x 1 1050 SD y 1 1050 REG n 1 10100 x n y n o p n G 0 x n 1 y n 1 A B r n G 0 1 Total of integer numerator and denominator mus...

Page 54: ...e type of battery you should use depends on the model number of your calculator fx 3650P The TWO WAY POWER system actually has two power supplies a solar cell and a G13 Type LR44 button battery Normally calculators equipped with a solar cell alone can operate only when relatively bright light is present The TWO WAY POWER system however lets you continue to use the calculator as long as there is en...

Page 55: ... Replacing the Battery Dim figures on the display of the calculator indicate that battery power is low Continued use of the calculator when the battery is low can result in improper operation Replace the battery as soon as possible when display figures become dim To replace the battery 1 Press A i to turn off power 2 Remove the screw that holds the battery cover in place and then remove the batter...

Page 56: ...attery LR44 fx 3650P Solar cell and a single G13 Type button battery LR44 Battery Life fx 3950P Approximately 9 000 hours continuous display of flashing cursor Approximately 3 years when left with power turned off fx 3650P Approximately 3 years 1 hour use per day Dimensions 11 8 H 80 W 159 D mm 7 16 H 31 8 W 61 4 D Weight 100 g 3 5 oz including battery Power Consumption 0 0002 W Operating Temperat...

Page 57: ... ax2 bx c 0 para x cuando se proporcionan valores para a b y c x b b2 4ac 2a b2 4ac 0 Program Press F F F 1 to display the Edit Prog screen Input a value from 1 to 4 to select a program number P1 through P4 and then input the program below Programa Presione F F F 1 para visualizar la pantalla Edit Prog Ingrese un valor de 1 a 4 para seleccionar un número de programa P1 a P4 y luego ingrese el prog...

Page 58: ...ación Operation Operación 1 Example Program P1 Ejemplo Programa P1 A 2 B D 7 C 6 X 1 5 Value appears in line 2 of display El valor aparece en la línea 2 de la presentación X 2 Value appears in line 2 of display El valor aparece en la línea 2 de la presentación ...

Page 59: ...dos lados a y b y el ángulo que forman γ Program Press F F F 1 to display the Edit Prog screen Input a value from 1 to 4 to select a program number P1 through P4 and then input the program below Programa Presione F F F 1 para visualizar la pantalla Edit Prog Ingrese un valor de 1 a 4 para seleccionar un número de programa P1 a P4 y luego ingrese el programa siguiente Deg A B D A B sin D 2 Ans X A ...

Page 60: ...it uses the formula S to determine whether the result matches the value calculated for α If it does not match it changes the value of α to an acute angle if it is currently an obtuse angle or to an obtuse angle if it is currently an acute angle Nota El salto condicional en la parte posterior del programa realiza un proceso que determina si un ángulo α es un ángulo agudo o un ángulo obtuso Primero ...

Page 61: ...SA0207 C Printed in China RCA 500003 001V01 CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan ...

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