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http://world.casio.com/edu/ RCA502107-001V01 E User's Guide fx-570ES.
CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany.
E-1 About this Manual • The MA TH mark indicates an example that uses Math f ormat, while the LINE mark indicates Linear format. For details about input/output f or mats, see “Specifying the Input/Output F ormat”. •K e ycap mar kings indicate what a ke y inputs or what function it performs.
E-2 • The follo wing shows an example of ho w a key oper ation to select an on-screen menu item is represented in this User’ s Guide. Example: 1 (Setup) Indicates the menu item that is selected b y the number ke y operation ( 1 ) bef ore it. Note that this is not part of the actual ke y operation you perf orm.
E-3 Safety Precautions Be sure to read the f ollowing safety precautions bef ore using this calculator . K eep this manual handy for later ref erence. Caution This symbol is used to indicate inf or mation that can result in personal injury or mater ial damage if ignored.
E-4 Handling Precautions •B e sure to press the O ke y before using the calculator f or the first time. •E ven if the calculator is operating normally , replace the battery at least once every tw o years. A dead battery can leak, causing damage to and malfunction of the calculator .
E-5 Befor e Using the Calculator k Removing the Har d Case Bef ore using the calculator, slide its hard case do wnwards to remov e it, and then affix the hard case to the bac k of the calculator as shown in the illustration below . k T urning P ower On and Off •P ress O to turn on the calculator.
E-6 k About the Display Y our calculator has a 31-dot × 96-dot LCD screen. Example: k Display Indicator s Sample Display: This Means this: indicator: The keypad has been shifted b y pressing the 1 ke y. The ke ypad will unshift and this indicator will disappear when you press a k ey .
E-7 Important! •F or a very complex calculation or some other type of calculation that takes a long time to e xecute, the displa y ma y show only the abov e indicators (without any value) while it perf orms the calculation internally .
E-8 •S ee “Adjusting Displa y Contrast” f or information about how to use “ ] CONT ' ”. Specifying the Input/Output Format For this input/output format: P erf orm this key operation: Ma.
E-9 •N orm: Selecting one of the tw o availab le settings (Nor m1, Norm2) determines the range in which results will be display ed in non- e xponential format.
E-10 k Initializing the Calculation Mode and Other Settings P erf or ming the follo wing procedure initializes the calculation mode and other setup settings as shown belo w .
E-11 Example: sin 30 = LINE s 30)= Pressing s inputs “sin(”. •N ote that the input procedure is different if y ou want to use Math fo rm at. For more inf ormation, see “Inputting with Math Format”. Omitting the Multiplication Sign Y ou can omit the multiplication sign ( × ) in any of the f ollowing cases .
E-12 •N ormally the input cursor appears as a straight ver tical ( I ) or horizontal ( ) flashing line on the displa y screen. When there are 10 or fe wer bytes of input remaining in the current e xpression, the cursor changes shape to I to let you know .
E-13 Deleting a Character or Function Example: To correct the expression 369 × × 12 so it becomes 369 × 12 LINE Inser t Mode: 369**12 dd Y Ov erwrite Mode: 369**12 ddd Y Correcting a Calculation Ex.
E-14 k Displaying the Location of an Err or If an error message (lik e “Math ERROR” or “Syntax ERR OR”) appears when you press = , press d or e . This will display the part of the calculation where the error occurred, with the cursor positioned at the error location.
E-15 Functions and Symbols Supported for Math Format Input • The “Bytes” column shows the n umber of bytes of memory that are used up by input. Function/Symbol Ke y Operation Bytes Improper F ra.
E-16 Example 3: To input (1 + ) 2 × 2 = MA TH (1+ ' 2 c 5 e ) Math w *2= •W hen you press = and obtain a calculation result using Math fo rm at, par t of the expression y ou input can be cut off as shown in the Example 3 screen shot. If you need to vie w the entire input e xpression again, press A and then press e .
E-17 Original Expression: Function Ke y Operation Resulting Expression Integral 7 Derivative 1 7 ( F ) Σ Calculation 1 & ( 8 ) Y ou can also incor porate v alues into the following functions. 1l ( $ ), 1i ( % ), ! , 6 , 1 ! ( # ), 1w (Abs) Displaying Calculation Results in a Form that Includes ' ' ' ' ' 2, π , etc.
E-18 Example 2: sin (60) = (Angle Unit: Deg) MA TH s 60= Math Example 3: sin –1 (0.5) = π (Angle Unit: Rad) MA TH 1 s (sin –1 ) 0.5= Math • The follo wing are the calculations for which ' fo rm (form that includes ' within irrational number display) results can be display ed.
E-19 The follo wing shows the range f or each of the coefficients ( a , b , c , d , e , f ). 1 < a < 100, 1 < b < 1000, 1 < c < 100 0 < d < 100, 0 < e < 1000, 1 < f < 100 Example: The underlined areas in the abov e examples indicate what caused decimal f or m to be used.
E-20 • If a term is encountered during the calculation cannot be displayed as a root ( ' ) form or a fraction, the calculation result is displa yed in decimal f or m. Example: log3 + ' 2 = 1.891334817 Basic Calculations (COMP) This section e xplains how to perform arithmetic, fraction, percent, and sexagesimal calculations .
E-21 Omitting a Final Closed P arenthesis Y ou can omit any closed parenthesis ( ) ) immediately preceding operation of the = ke y at the end of a calculation.
E-22 Switching between Fraction and Decimal Format • The f or mat of the fraction depends on the currently selected fraction display f ormat setting (improper fraction or mixed fraction).
E-23 Sexa gesimal Calculations •P erforming the following types of se xagesimal calculations produces a se xagesimal result. -A ddition or subtraction of two se xagesimal values -M ultiplication or .
E-24 Using Calculation History Memory and Replay Calculation history memor y maintains a record of each calculation e xpression y ou input and e xecute, and its result.
E-25 Using Calculator Memory Memory Name Description An sw er Memo ry Stores the last calculation result obtained. Calculation results can be added to or sub- Independent tracted from independent memory . The “M” Memory display indicator indicates data in independent memory .
E-26 Inputting Answer Memory Contents into an Expression Example: To perform the calculations shown below: LINE 123+456= 789- G = k Independent Memory (M) Y ou can add calculation results to or subtract results from independent memory . The “M” appears on the display when independent memory contains a value.
E-27 Calculation Examples Using Independent Memory • If the “M” indicator is on the displa y , perform the procedure under “Clearing Independent Memor y” before perf orming this example.
E-28 Using CALC The CALC feature lets y ou input a calculation e xpression that contains v ar iab les, and then assign values to the v ariables and perf or m the calculation.
E-29 s (or = ) 10= •T o exit CALC , press A . • If the expression y ou are using contains more than one variable , an input prompt appears for each one . Appendix <#016> Cal culate a n +1 = a n + 2 n (a 1 = 1) as the value of a n changes from a 2 to a 5 .
E-30 •A n error (V ariable ERR OR) occurs when the solution variable is not included in the expression being solv ed. k Example SOL VE Operation Example: To solve y = ax 2 + b for x when y = 0, a = 1, and b = –2. MA TH S f (Y) Ss (=) S y (A) S ) (X) w + S e (B) Math 1 ) (,) S ) (X) 1s (SOL VE) Math Prompts for input of a v alue f or Y .
E-31 • SOL VE may not be ab le to deter mine the correct solution, e ven when one exists . • SOL VE uses Newton’ s Method, so e ven if there are multiple solutions, only one of them will be returned. •N ew ton’s Method can ha ve prob lems obtaining solutions for the f ollowing types of functions.
E-32 Function Calculations This section explains ho w to use the calculator’ s built-in functions. The functions av ailable to you depends on the calculation mode y ou are in. The e xplanations in this section are mainly about the functions that are av ailable in all calculation modes.
E-33 k Con verting an Input V alue to the Calculator’ s Default Angle Unit After inputting a value , press 1G (DRG ' ) to displa y the angle unit specification menu shown belo w . Press the number ke y that corresponds to the angle unit of the input value .
E-34 k Po wer Functions and P ower Root Functions •P ower functions and power root functions can be used in the COMP , ST A T , EQN, MA TRIX, T ABLE, and VECTOR calculation modes . •T he X 2 , X 3 , X –1 functions can be used in complex number calculations in the CMPLX Mode, and comple x number arguments are suppor ted.
E-35 Tips on Impr oving Integration V alue Accuracy •W hen a periodic function or integration interval results in positive and negative f ( x ) function values P erf or m separate integrations f or each cycle, or f or the positive part and the negative par t, and then combine the results.
E-36 k Differential Calculations Y our calculator performs differential calculations b y approximating the derivativ e based on centered difference appro ximation. d / dx ( f ( x ), a , tol ) f ( x ): Function of X (All non-X v ariables are treated as constants.
E-37 k Σ Calculations With Σ (, you can obtain the sum of an input f ( x ) e xpression for a specific range . Σ calculations are perf ormed using the follo wing for m ula. Σ ( f ( x ), a , b ) = f ( a ) + f ( a + 1) + .... + f ( b ) f ( x ): Function of X (All non-X v ariables are treated as constants.
E-38 • If you perf or m coordinate con version inside of an e xpression instead of a stand-alone operation, the calculation is performed using only the first value (either the r -v alue or the X-value) produced b y the conv ersion.
E-39 Rounding Function (Rnd) This function rounds the value or the result of the e xpression in the function’ s argument to the number of significant digits specified by the number of displa y digits setting. Display Digits Setting: Norm1 or Nor m2 The mantissa is rounded to 10 digits.
E-40 k Practical Examples Appendix <#042> ∫ (sin X + cos X ) 2 dX = π 0 π ( tol : Not specified) <#043> Confirm that the two sides of the f ollowing equation are equal: e = Σ n ! 1 n .
E-41 π : The f ollowing are the π fo rm s that are suppor ted. This is true only in the case of Math format. n π ( n is an integer .) c d π or c b π a (depending on fraction display format settin.
E-42 k Inputting Complex Number s • In the CMPLX Mode, the W ke y changes function to become an imaginary number i input key . In this section, the W ke y is ref erred to as the i ke y. Use the i ke y when inputting a complex number of the format a + b i .
E-43 Examples of Calculation Results Using P olar Coordinate Format ( r ∠ θ ) Example 1: 2 × ( ' 3 + i ) = 2 ' 3 + 2 i = 4 ∠ 30 (Angle Unit: Deg) MA TH 2*( ! 3 e + i )= Math CMPLX •W ith Linear format, the absolute value and argument are sho wn in two diff erent lines.
E-44 Statistical Calculation (ST A T) All calculations in this section are perf or med in the ST A T Mode ( N 3 ). Selecting a Statistical Calculation T ype In the ST A T Mode, display the statistical calculation type selection screen.
E-45 Y ou can use the FREQ column to specify the frequency (the number of times the same sample appears in the group of data) of each sample v alue. Rules for Inputting Sample Data on the ST A T Editor Screen •D ata you input is inserted into the cell where the cursor is located.
E-46 Precautions Concerning Sample Data Stora ge Sample data you input is deleted automatically whene v er you change to another mode from the ST A T Mode or change the Statistical Displa y setting (which causes the FREQ column to be shown or hidden) on the calculator’ s setup screen.
E-47 k Using the ST A T Men u While the ST A T editor screen or ST A T calculation screen is on the display , press 1 1 (ST A T) to display the ST A T menu. The content to the ST A T menu depends on whether the currently selected statistical operation type uses a single v ariable or paired var i a bl e s .
E-48 Single-v ariable (1-V AR) Statistical Calculation Commands The follo wing are the commands that appear on the sub-menus that appear when you select 4 (Sum), 5 (V ar), 6 (MinMax), or 7 (Distr) on the ST A T menu while a single-variable statistical calculation type is selected.
E-49 Standard Normal Distrib ution Appendix Single-variable Statistical Calculation <#053> Select single-variable (1-V AR) and input the f ollowing data: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} (FREQ: O.
E-50 Sum Sub-menu ( 1 1 (ST A T) 4 (Sum)) Select this When you want to obtain this: menu item: 1 Σ x 2 Sum of squares of the X-data 2 Σ x Sum of the X-data 3 Σ y 2 Sum of squares of the Y -data 4 .
E-51 Appendix Linear Regression Calculation: <#061> to <#064> •E xamples <#062> through <#064> all use the data input in Example <#061>.
E-52 Statistical Calculation Model Equation Calculation T ype Formula ab Exponential Regression y = AB X <#071> (A•B^X) Po wer Regression (A•X^B) y = AX B <#072> Inverse Reg ression (1/X) y = A + X B <#073> Appendix Comparison of Regression Curves • The follo wing example uses the data input in Example <#061>.
E-53 • The initial def ault number base setting when you enter the BASE- N Mode is alwa ys decimal (DEC). Inputting V alues In the BASE-N Mode, y ou can input values using the currently selected number base .
E-54 The k ey operation below shows ho w to input a value of 3 using the decimal number base, f or example . Ab1 3 (BASE) c 1 (d) 3 The value y ou input here is decimal number base. Appendix <#080> Calculate 1 2 + 1 2 in binary . <#081> Calculate 7 8 + 1 8 in octal.
E-55 Equation Calculations (EQN) All calculations in this section are perf or med in the EQN Mode ( N 5 ). k Equation T ypes An equation type menu appears when you press N 5 (EQN) and enter the EQN Mode.
E-56 • The values and e xpressions you can input on the coefficient editor screen are the same as those you can input in the COMP Mode with Linear format. •P ressing A while inputting data clears y our current input. • After inputting data, press = .
E-57 Matrix Calculations (MA TRIX) Y ou can sav e matrices under the names “MatA”, “MatB”, and “MatC” in matrix memor y . Matrix calculation results are stored in a special Matrix Answer Memory named “MatAns”. All calculations in this section are perf or med in the MA TRIX Mode ( N 6 ).
E-58 Copying the Contents of One Matrix to Another Matrix (1) Use the matr ix editor screen to display the matrix you w ant to copy , or display the Matrix Ans wer Memory screen. • If you w ant to copy Matrix A, f or example, press 1 4 (MA TRIX) 2 (Data) 1 (MatA).
E-59 k Matrix Menu Items The follo wing are the menu items on the matrix menu that appears when you press 1 4 (MA TRIX). Select this When you want to do this: menu item: 1 Dim Select a matrix (MatA, M.
E-60 Generating a Number T able from a Function (T ABLE) All calculations in this section are perf ormed in the T ABLE Mode ( N 7 ). k Configuring a Number T ab le Generation Function The procedure below configures the number tab le generation function with the f ollowing settings.
E-61 (5) After specifying the end value, press = . • This displa ys the step value input screen. •S pecify the step value. •F or details about specifying the star t, end, and step values, see “Star t, End, and Step V alue Rules”. (6) After specifying the step value, press = .
E-62 k Number T able Screen The number tab le screen shows x -values calculated using the specified Start, End, and Step values, as well as the v alues obtained when each x -value is substituted in the function f ( x ). •N ote that you can use the number tab le screen for vie wing values only .
E-63 (4) Use the vector editor screen to input each element. •I nput is subject to the same r ules as those that gov ern the coefficient editor screen in the EQN Mode. F or more information, see “Rules for Inputting and Editing Coefficients”. • If you want to create another v ector , repeat this procedure from step (1).
E-64 Appendix <#106> Store VctA = (1, 2) and VctC = (2, –1, 2). <#107> Copy VctA = (1, 2) to VctB and then edit V ector B to VctB = (3, 4). • The follo wing examples use the v ectors input in Examples <#106> and <#107> (VctA, VctB, VctC).
E-65 •T he values are based on ISO Standards (1992) and CODA T A Recommended V alues (1998). For details, see Appendix <#114>. Appendix <#115> and <#116> P erf or m all of these examples in the COMP Mode ( N 1 ).
E-66 3. F ractions: a b / c 4. Prefix symbol: (–) (negative sign) d, h, b , o (base n symbol) 5. Metric conversion commands: cm ' in, etc. Statistical estimated value calculation: m , n , m 1 , m 2 6. P ermutations, combinations: n P r , n C r Complex polar f orm symbol: ∠ 7.
E-67 A Stack ERR OR occurs when the calculation you are perf orming causes the capacity of either stac k to be exceeded. Stack Issues to K eep in Mind for Each Mode •I n the CMPLX Mode, each input value uses two le vels of the numeric stack, regardless of whether the input v alue is a real number or a complex number .
E-68 Functions Input Range tanh x 0 x 9.999999999 10 99 tanh – 1 x 0 x 9.999999999 10 –1 log x /ln x 0 x 9.999999999 10 99 10 x –9.999999999 10 99 x 99.99999999 e x –9.999999999 10 99 x 230.
E-69 k Error Messa g es The calculator will displa y an error message when a result exceeds the calculation r ange, when y ou attempt an illegal input, or whenev er any other similar problem occurs. When an error messa ge appears... The follo wing are general operations you can use when an y error message appears.
E-70 • Action •M a k e necessar y corrections. Dimension ERR OR (MA TRIX and VECT OR Modes only) • Cause • The matrix or vector you are trying to use in a calculation was input without specifying its dimension. •Y ou are trying to perform a calculation with matrices or vectors whose dimensions do not allow that type of calculation.
E-71 (1) Check the calculation expression to mak e sure that it does not contain an y errors. (2) Make sure that you are using the correct mode f or the type of calculation you are trying to perform. (3) If the above steps do not correct y our problem, press the O key .
E-72 Au t o Po wer Off Y our calculator will tur n off automatically if you do not perf orm any operation f or about six minutes. If this happens , press the O key to turn the calculator back on.
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