User manual CASIO FX-50F PLUS

[. . . ] E fx-50F PLUS User's Guide http://world. casio. com/edu/ RCA502903-001V01 Getting Started Thank you for purchasing this CASIO product. k Before using the calculator for the first time. . . Turn over the calculator and slide it from the hard case as shown in the illustration. Next, slide the hard case onto the back of the calculator. A After you are finished using the calculator. . . Remove the hard case from the back of the calculator, and re-install it onto the front. k Resetting the Calculator to Initial Defaults Perform the operation below when you want to return the calculator's setup to its initial defaults. Note that this procedure will also clear all memory contents (independent memory, variable memory, Answer Memory, statistical calculation sample data, and program data). !9(CLR)3(All)w Refer to the following for information about the calculation mode and setup and the various types of memories used by this calculator. [. . . ] 10001. (Ran#)E 1000Ran# 287 1000Ran# E 613 1000Ran# E 118 · The above values are provided for example only. The actual values produced by your calculator for this function will be different. E-31 A Permutation (nPr)/Combination (nCr) Syntax: {n}P{m}, {n}C{m} Example: How many four-person permutations and combinations are possible for a group of 10 people?101*(nPr)4E 10P4 5040 10C4 101/(nCr)4E 210 A Rounding Function (Rnd) You can use the rounding function (Rnd) to round the value, expression, or calculation result specified by the argument. Rounding is performed to the number of significant digits in accordance with the number of display digits setting. Rounding for Norm1 or Norm2 The mantissa is rounded off to 10 digits. Rounding for Fix or Sci The value is rounded to the specified number of digits. Example: 200 ÷ 7 × 14 = 400 200/7*14E (3 decimal places) 1Ne1(Fix)3 (Internal calculation uses 15 digits. ) 200/7E 200 ÷ 7 × 14 400 200 ÷ 7 × 14 400000 200 ÷ 7 28571 Ans × 14 *14E 400000 200 ÷ 7 Now perform the same calculation using the rounding (Rnd) function. 200/7E (Calculation uses rounded value. ) 10(Rnd)E 28571 Rnd ( Ans E-32 28571 (Rounded result) *14E Ans × 14 399994 Using 103 Engineering Notation (ENG) Engineering notation (ENG) expresses quantities as a product of a positive number between 1 and 10 and a power of 10 that is always a multiple of three. There are two types of engineering notation, ENG/ and ENG, . Function ENG/ ENG, Key Operation W 1W(, ) k ENG Calculation Examples Example 1: To convert 1234 to engineering notation using ENG/ 1234E 1234 1234 1234 1234 W 1234 03 1234 00 123 W Example 2: To convert 123 to engineering notation using ENG, 123E 123 123 123 1W(, ) 0123 03 0000123 06 1W(, ) E-33 Complex Number Calculations (CMPLX) To perform the example operations in this section, first select CMPLX (N2) as the calculation mode. k Inputting Complex Numbers A Inputting Imaginary Numbers (i) In the CMPLX Mode, the W key is used to input the imaginary number i. Use W(i) when inputting complex numbers using rectangular coordinate format (a+bi). Example: To input 2 + 3i 2+3W(i) 2 + 3 iI A Inputting Complex Number Values Using Polar Coordinate Format Complex numbers can also be input using polar coordinate format (r ). Example: To input 5 30 51-()30 5 30I Important! When inputting argument , enter a value that indicates an angle in accordance with the calculator's current default angle unit setting. k Complex Number Calculation Result Display When a calculation produces a complex number result, RI symbol turns on in the upper right corner of the display and the only the real part appears at first. To toggle the display between the real part and the imaginary part, press 1E(ReIm). Example: To input 2 + 1i and display its calculation result Before starting the calculation, you need to perform the following operation to change the complex number display setting to "a+bi" as shown below. To select rectangular coordinate format: 1, (SETUP)eee1(a+bi) 2+W(i)E 2+ i 2 Displays real part. E-34 1E(ReIm) 2+ i 1 Displays imaginary part. (i symbol turns on during imaginary part display. ) A Default Complex Number Calculation Result Display Format You can select either rectangular coordinate format or polar coordinate format for complex number calculation results. Imaginary axis Imaginary axis o a Real axis o Rectangular Coordinates Polar Coordinates Use the setup screens to specify the default display format you want. For details, see "Specifying the Complex Number Display Format" (page 9). k Calculation Result Display Examples A Rectangular Coordinate Format (a+bi) 1, (SETUP)eee1(a+bi) Example 1: 2 × ('+ i) = 2' + 2i = 3. 464101615 + 2i 3 3 2*(93)+W(i))E 2 ×('( 3 ) + i ) 2 ×('( 3 ) + i ) 3464101615 2 1 1 1E(ReIm) Example 2: ' 45 = 1 + 1i (Angle Unit: Deg) 2 92)1-() 45E '( 2 ) 45 1E(ReIm) '( 2 ) 45 E-35 u/ / Real axis b a + bi r A Polar Coordinate Format (r ) 1, (SETUP)eee2(r ) Example 1: 2 × ('+ i) = 2'+ 2i = 4 30 3 3 2*(93)+W(i))E 2 ×('( 3 ) + i ) 2 ×('( 3 ) + i ) 4 30 -value. 1E(ReIm) symbol turns on during display of Example 2: 1 + 1i = 1. 414213562 45 (Angle Unit: Deg) 1+1W(i)E 1 +1 i 1 +1 i 1414213562 45 1E(ReIm) k Conjugate Complex Number (Conjg) z You can perform the operation below to obtain conjugate complex number ¯ = a + bi for the complex number z = a + bi. Example: Obtain the conjugate complex number of 2 + 3i 1, (Conjg)2+3W(i))E Con jg( 2 + 3 i ) Con jg( 2 + 3 i ) 2 -3 1E(ReIm) k Absolute Value and Argument (Abs, arg) You can use the procedure shown below to obtain the absolute value (|z|) and argument (arg) on the Gaussian plane for a complex number in the format z = a + bi. Example: Imaginary axis To obtain the absolute value and argument of 2 + 2i b=2 (Angle Unit: Deg) o a=2 Real axis E-36 Absolute Value: 1)(Abs)2+2W(i))E Argument: 1((arg)2+2W(i))E Abs ( 2 + 2 i ) ar g( 2 + 2 i ) 2828427125 45 k Overriding the Default Complex Number Display Format You can use the procedures described below to override the default complex number display format and specify a particular display format for the calculation you are currently inputting. A Specifying Rectangular Coordinate Format for a Calculation Input 1-('a+bi) at the end of the calculation. 2 Example: 2' 45 = 2 + 2i (Angle Unit: Deg) 292)1-()45 1-('a+bi)E 2' ( 2 ) 45 a + b i 2' ( 2 ) 45 a + b i 2 2 1E(ReIm) A Specifying Polar Coordinate Format for a Calculation Input 1+('r ) at the end of the calculation. Example: 2 + 2i = 2' 45 = 2. 828427125 45 (Angle Unit: Deg) 2 2+2W(i) 1+('r )E 2+2 i r 2+2 i r 2828427125 45 1E(ReIm) E-37 Statistical Calculations (SD/REG) k Statistical Calculation Sample Data A Inputting Sample Data You can input sample data either with statistical frequency turned on (FreqOn) or off (FreqOff). The calculator's initial default setting is FreqOn. You can select the input method you want to use with the setup screen statistical frequency setting (page 9). A Maximum Number of Input Data Items The maximum number of data items you can input depends on whether frequency is on (FreqOn) or off (FreqOff). Frequency Setting Calculation Mode SD Mode REG Mode FreqOn 40 items 26 items FreqOff 80 items 40 items A Sample Data Clear All sample data currently in memory is cleared whenever you change to another calculation mode and when you change the statistical frequency setting. k Performing Single-variable Statistical Calculations To perform the example operations in this section, first select SD (N4) as the calculation mode. A Inputting Sample Data Frequency On (FreqOn) The following shows the key operations required when inputting class values x1, x2, . . . xn, and frequencies Freq1, Freq2, . . . [. . . ] Check the syntax and make the required corrections. E-75 Data Full Cause Action 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 memory. Keep the number of data samples within the allowable limit. For more information, see "Maximum Number of Input Data Items" on page 38. Go ERROR Cause Action A program (that you created in the PRGM Mode) has a "Goto n" command without a corresponding "Lbl n" label. n" command. k Before assuming malfunction of the calculator. . . Perform the following steps whenever an error occurs during a calculation or when calculation results are not what you expected. [. . . ]