Casio fx-50F PLUS Manual do Utilizador

fx-50F PLUSUser's Guidehttp://world.casio.com/edu/RCA502903-001V01E

E-9The following explains how calculation results are displayed in accordance with the setting you specify. • From zero to nine decimal places are dis

E-10k Clearing the Calculation Mode and Setup Settings Perform the procedure described below to clear the current calculation mode and all setup setti

E-11A Omitting the Multiplication Sign You can omit the multiplication sign in the following cases. • Immediately before an open parenthesis: 2 × (5

E-12k Editing a Calculation A Insert Mode and Overwrite Mode The calculator has two input modes. The insert mode inserts your input at the cursor loca

E-13dddDA Editing a Key Operation within an Expression With the insert mode, use d ande to move the cursor to the right of the key operation you want

E-14d1w• Instead of pressing e ord while an error message is displayed to fi nd the location of the error, you could also press A to clear the calcul

E-15A Fraction Calculation Examples Example 1: 3 14 + 123 = 4111 2 3$1$4+1$2$3wExample 2: 4 – 3 12 =124-3$1$2wExample 3:23 +12 =76 (Fraction Di

E-16k Percent Calculations Inputting a value and with a percent (%) sign makes the value a percent. The percent (%) sign uses the value immediately be

E-17Example 8: What is the percentage change when a value is increased from 40 to 46? How about to 48? Insert Mode (46-40)/40!((%)weeeeY8wk Degree,

E-18Example: To convert 2.255 to sexagesimal 2.255w$$Calculation History and Replay Calculation history maintains a record of each calculation you pe

E-1Getting Started Thank you for purchasing this CASIO product. k Before using the calculator for the fi rst time... Tu rn over the calculator and slid

E-19k Using Replay While a calculation history record is on the display, press d ore to display the cursor and enter the editing mode. Pressing e di

E-20A Ans Update and Delete Timing When using Ans in a calculation, it is important to keep in mind how and when its contents change. Note the followi

E-21A Inserting Ans into a Calculation Manually You can insert Ans into a calculation at the current cursor location by pressing the K key. Example 1

E-22NotePressingm or1m(M–) while a calculation result is on the display will add it to or subtract it from independent memory. Important! The value th

E-23A Clearing the Value Assigned to a Variable (to 0) Example: To clear variable A01t(STO) -(A)A Calculation Example Using Variables Example: To per

E-24k Scientifi c Constants Your calculator has 40 often-used scientifi c constants built in. Like π ande, each scientifi c constant has a unique displ

E-2517(CONST)ddd4(ε0)17(CONST)dd1(ƫ0))EA Table of Scientifi c Constants The numbers in the “No.” column show the scientifi c constant menu page number o

E-26No. Scientifi c Constant Symbol Value Unit6-4 Avogadro constant NA6.0221415×1023mol–17-1 Boltzmann constant k 1.3806505×10–23J K–17-2 Molar volume

E-27k Trigonometric and Inverse Trigonometric Functions sin(, cos(, tan(, sin–1(, cos–1(, tan–1(A Syntax and Input sin({n}), cos({n}), tan({n}), sin –

E-28k Hyperbolic and Inverse Hyperbolic Functions sinh(, cosh(, tanh(, sinh–1(, cosh–1(, tanh–1(A Syntax and Input sinh({n}), cosh({n}), tanh({n}), si

E-2• The following shows the notation used in the manual for menu items that appear on the display (which are executed by pressing a number key). Exam

E-29k Power Functions and Power Root Functions x2, x3, x–1, ^(, '(,3'(, x'(A Syntax and Input {n}x2... { n

E-30A Syntax and Input Rectangular-to-Polar Coordinate Conversion (Pol) Pol( x,y) x : Rectangular coordinate x-value y : Rectangular coordinat

E-31k Other Functions x!, Abs(, Ran#, nP r, nC r, Rnd(Thex!,nPr, andnCr functions can be used in the CMPLX Mode, but complex number arguments are no

E-32A Permutation ( nPr)/Combination ( nCr)Syntax: { n}P{m}, { n}C{m}Example: How many four-person permutations and combinations are possible for a gr

E-33(Rounded result) *14EUsing 10 3 Engineering Notation (ENG)Engineering notation (ENG) expresses quantities as a product of a positive number betwee

E-34Complex Number Calculations (CMPLX)To perform the example operations in this section, fi rst select CMPLX ( N2) as the calculation mode. k Inputti

E-351E(Re⇔ Im)Displays imaginary part. (i symbol turns on during imaginary part display. )A Default Complex Number Calculation Result Display Format Y

E-36A Polar Coordinate Format ( r∠ Ƨ)1,(SETUP)eee2(r∠ Ƨ)Example 1: 2 × ( '3 +i) = 2 '3 + 2 i = 4∠ 302*(93)+W(i))E1E(Re⇔ Im) ∠ symbol

E-37Absolute Value: 1)(Abs)2+2W(i))EArgument: 1((arg)2+2W(i))Ek Overriding the Default Complex Number Display Format You can use the procedures descri

E-38Statistical Calculations (SD/REG) k Statistical Calculation Sample Data A Inputting Sample Data Yo u can input sample data either with statistical

E-3Operating Precautions • Be sure to press the O key before using the calculator for the fi rst time. • Even if the calculator is operating normally,

E-39Example: To input the following data Class Value ( x) Frequency (Freq)24.5 425.5 626.5 224.51,(;)4m(DT)m(DT) tells the calculator this is the end

E-40ccWhen the statistical frequency setting is FreqOn, data is displayed in the sequence: x1,Freq1, x2, Freq2, and so on. In the case of FreqOff, i

E-41A Deleting All Sample Data Perform the following key operation to delete all sample data.19(CLR)1(Stat)EIf you do not want to delete all sample da

E-42kPerforming Paired-variable Statistical Calculations To perform the example operations in this section, fi rst select REG ( N5) as the calculation

E-43A Inputting Sample Data Frequency On (FreqOn) The following shows the key operations required when inputting class values ( x1,y1), ( x2,y2), ...(

E-4412(S-VAR) 1(VAR) e1E* This is one example of possible calculation results. A REG Mode Statistical Command Reference Sum and Number of Sample Comma

E-45 y σn12(S-VAR) 1(VAR) e2Obtains the population standard deviation of the sampley-data. y σn–112(S-VAR) 1(VAR) e3Obtains the sample standa

E-46Regression Coeffi cient and Estimated Value Commands for Quadratic Regression (VAR Menu) For details about the formula that is executed by each of

E-47A Regression Coeffi cient and Estimated Value Calculation Formula Table The following table shows the calculation formulas used by the regression c

E-48Logarithmic Regression Command Calculation FormulaRegression Formula Constant Term aa =nΣyi– b.ΣlnxiRegression Coeffi cient bb =n.Σ(lnxi)2–(Σlnxi)2

E-4ContentsGetting Started ...1 Before using the calculator for

E-49Command Calculation FormulaEstimated Value mm =lnblny – lnaEstimated Value nn = abxPower Regression Command Calculation FormulaRegression Formula

E-50Command Calculation FormulaEstimated Value mm= y – abEstimated Value nn = a+ xbk Statistical Calculation Examples This section provides some actua

E-51Example 2: The nearby data shows how the weight of a newborn at various numbers of days after birth. 1 Obtain the regression formula and correlat

E-52Regression Coeffi cient b: 12(S-VAR) 1(VAR) ee2(b)ECorrelation Coeffi cient: 12(S-VAR) 1(VAR) ee3(r)E3 Weight Prediction The absolute value of the c

E-53A Example Base- n Calculations Example 1: To select binary as the number base and calculate 1 2 + 1 2Al(BIN)1+1EExample 2: To select octal as th

E-54k Converting a Displayed Result to another Number Base Pressingx(DEC),M(HEX),l(BIN), ori(OCT) while a calculation result is displayed will convert

E-55A Example Calculation Using Base- n Specifi cation Example: To perform the calculation 5 10 + 5 16, and display the result in binary Al(BIN)X(LOGIC

E-56A Complement/Inversion (Not) Returns the complement (bitwise inversion) of a value. Example: Not(1010 2) = 1111110101 2X(LOGIC)e2(Not)1010)EA Nega

E-57E(Prompt for input for variable a)Input 8 for variable a:8EInput 5 for variable b:5EInput 5 for variable c:5E• As shown above, the calculation

E-58A Displaying a Built-in Formula While inputting values for the variables of a formula, you can display the formula by pressing 1G(LOOK). (Value In

E-5Coordinate Conversion (Rectangular ↔ Polar) ... 29Other Functions ...

E-59No. 05 Normal Probability Function Q( x)Uses Hastings’ estimate formula to determine the probability of a standard normal distribution Q( x) ill

E-60No. 10 Voltage Gain Determines the voltage gain ( G) of an amplifi er circuit when input voltage ( E) and output voltage ( E´) are known. G[dB] =

E-61No. 15 Cycle of Simple Pendulum Determines the cycle ( T) of a simple pendulum with a string of length .T = 2πg(g: gravitational acceleration,

E-62No. 21 Bernoulli’s Theorem Determines the fi xed value ( C) of an inviscid fl uid (steady fl ow, incompressible fl uid) when the fl ow velocity ( v),

E-63k Creating a Program A Creating a New Program Example: To create a program that converts inches to centimeters (1 inch = 2.54 cm) ? →A : A × 2.54

E-646. After inputting the program, press A or!5(EXIT). • To run the program you just created, press w here to display the RUN Program screen. For

E-652. Press d(DEL). Program areas that already contain program data (P1 through P4)Remaining program memory capacity 3. Use number keys b throughe

E-66 → (Variable Assignment)Syntax {expression ; ?} → {variable}Function Assigns the value obtained by the element on the left to the variable on

E-67Example Lbl 1 : ? → A : A > 0S'(A)^ Goto 1 =, ≠, >, >, <, < (Relational Operators)Syntax {expression} {relational operato

E-68For~To~NextSyntax For {expression (starting value)} → {variable (control variable)} To {expression (ending value)} : {statement} : ... {stateme

E-6Before starting a calculation... k Turning On the Calculator PressO. The calculator will enter the calculation mode (page 7) that it was in the la

E-69Important! With some setup commands, the settings you confi gure remain in effect even after you fi nish running the program. Angle Unit Commands D

E-70A Clear Commands ClrMemory (COMP, CMPLX, BASE) Syntax .. : ClrMemory : ..Operation !j(CLR)b(Mem)Function This command clears all variables (A,

E-71Important! To input a semicolon (;) in the above syntax, press !,(;). To input a comma (,), press ,.Operation l(Inputs DT.)Function Use this

E-72Sequence Operation Type Description7Multiplication, DivisionOmitted Multiplication Sign×, ÷Multiplication sign can be omitted immediately before

E-73NoteWhen inputting a value in the CMPLX Mode, each value takes up two stack levels: one for the real part and one for the imaginary part. This mea

E-74Functions Input Rangeex–9.999999999×1099<x< 230.2585092'x0<x < 1×10100x2|x| < 1×10501/x|x| < 1×10100 ; xG 03'x|x| <

E-75A Recovering from an Error Message You can recover from an error message by performing the key operations described below, regardless of the error

E-76Data Full Cause You are attempting to store sample data in the SD Mode or REG Mode when the allowable number of data samples are already stored in

E-771. Press !A(OFF) to turn off the calculator. To ensure that you do not accidentally turn on the calculator while replacing the battery, slide

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E-7Function Colors To perform the function7AText: RedFrame: GreenPressa and then press the key (variable A).In the BASE Mode, press the key.8LOGIC Tex

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E-82. Perform one of the following operations to select the calculation mode you want. To select this calculation mode: Press this key:COMP (Computati