Casio fx-500ES Скачать руководство пользователя

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E-30

Power Functions and Power Root
Functions

, X

–1

, X

(

Appendix

<#024> to <#028>

Rectangular-Polar Coordinate Conversion

Rectangular

Polar Coordinates

Coordinates (Rec)

(Pol)

• Coordinate conversion can be performed in the COMP and STAT

calculation modes.

Converting to Polar Coordinates (Pol)

Pol(X, Y)

X: Specifies the rectangular coordinate X value
Y: Specifies the rectangular coordinate Y value

• Calculation result

is displayed in the range of –180

180

• Calculation result

is displayed using the calculator’s default angle

unit.

• Calculation result

is assigned to variable X, while

is assigned

to Y.

Converting to Rectangular Coordinates (Rec)

Rec(

)

: Specifies

value of polar coordinate

: Specifies

value of polar coordinate

• Input value

is treated as an angle value, in accordance with the

calculator’s default angle unit setting.

• Calculation result

is assigned to variable X, while

is assigned

to Y.

• If you perform coordinate conversion inside of an expression instead

of a stand-alone operation, the calculation is performed using only
the first value (either the

-value or the X-value) produced by the

conversion.
Example: Pol (

2) + 5 = 2 + 5 = 7

Appendix

<#029> to <#030>

Содержание fx-500ES

Страница 1: ...http world casio com edu RCA502127 001V01 E fx 500ES User s Guide ...

Страница 2: ...CASIO Europe GmbH Bornbarch 10 22848 Norderstedt Germany ...

Страница 3: ...s this text is this color Yellow Press 1 and then the key to access the applicable function Red Press S and then the key to input the applicable variable constant or symbol The following shows an example of how an alternate function operation is represented in this User s Guide Example 1s sin 1 1 Indicates the function that is accessed by the key operation 1s before it Note that this is not part o...

Страница 4: ...any kind whatsoever by any other party arising out of the use of this product and the items that come with it k Using the Separate Appendix Whenever you see the symbol Appendix in this manual it means you should refer to the separate Appendix Example numbers like 021 in this User s Guide refer to the corresponding example number in the Appendix Specify the angle unit in accordance with the marks i...

Страница 5: ...ver charge the battery try to take the battery apart or allow the battery to become shorted Never expose the battery to direct heat or dispose of it by incineration Improperly using a battery can cause it to leak and damage nearby items and can create the risk of fire and personal injury Always make sure that the battery s positive kand negative l ends are facing correctly when you load it into th...

Страница 6: ...igh temperatures Heat can cause discoloration or deformation of the calculator s case and damage to internal circuitry Avoid use and storage of the calculator in areas subjected to large amounts of humidity and dust Take care never to leave the calculator where it might be splashed by water or exposed to large amounts of humidity or dust Such conditions can damage internal circuitry Never drop the...

Страница 7: ...culator Press 1A OFF to turn off the calculator k Adjusting Display Contrast 1N SETUP c6 CONT This displays the contrast adjustment screen Use d and e to adjust display contrast After the setting is the way you want press A You can also adjust contrast using d and e while the mode menu which appears when you press N is on the display Important If adjusting display contrast does not improve display...

Страница 8: ...o the variable This indicator appears after you press 1t STO RCL The calculator is standing by for input of a variable name to recall the variable s value This indicator appears after you press t STAT The calculator is in the STAT Mode 7 The default angle unit is degrees 8 The default angle unit is radians 9 The default angle unit is grads FIX A fixed number of decimal places is in effect SCI A fi...

Страница 9: ... regression calculations STAT Equation solution EQN Generation of a number table based on an TABLE expression Specifying the Calculation Mode 1 Press N to display the mode menu 2 Press the number key that corresponds to the mode you want to select To select the STAT Mode for example press 2 k Configuring the Calculator Setup Pressing 1N SETUP displays the setup menu which you can use to control ho...

Страница 10: ...play Digits To specify this Perform this key operation Number of Decimal Places 1N6 Fix 0 9 Number of Significant Digits 1N7 Sci 0 9 Exponential Display Range 1N8 Norm 1 Norm1 or 2 Norm2 Calculation Result Display Examples Fix The value you specify from 0 to 9 controls the number of decimal places for displayed calculation results Calculation results are rounded off to the specified digit before b...

Страница 11: ...oordinates 1Nc3 CMPLX 1 a bi Polar Coordinates 1Nc3 CMPLX 2 r θ The complex number display format specifies the display format to be used for complex number solutions produced by equation operations in the EQN Mode Specifying the Statistical Display Format Use the following procedure to turn display of the frequency FREQ column of the STAT Mode STAT editor screen on or off To specify this Perform ...

Страница 12: ...xpressions and Values k Inputting a Calculation Expression Using Standard Format Your calculator lets you input calculation expressions just as they are written Then simply press the key to execute it The calculator automatically judges the calculation priority sequence for addition subtraction multiplication and division functions and parentheses Example 2 5 4 2 3 LINE 2 5 4 2 y3 Inputting a Func...

Страница 13: ...ters at a time Inputting the 15th character causes the expression to shift to the left At this time the indicator appears to the left of the expression indicating that it runs off the left side of the screen Input expression 1111 2222 3333 444 Displayed portion When the indicator is displayed you can scroll left and view the hidden part by pressing the d key This will cause the indicator to appear...

Страница 14: ...rwrite mode any new character you input replaces the character at the current cursor position The initial default input mode is insert You can change to the overwrite mode when you need it The cursor is a vertical flashing line I when the insert mode is selected The cursor is a horizontal flashing line when the overwrite mode is selected The initial default for Linear format input is the insert mo...

Страница 15: ...te Mode 369 12 ddd Y Correcting a Calculation Example To correct cos 60 so it becomes sin 60 LINE Insert Mode c60 dddY s Overwrite Mode c60 dddd s Inserting Input into a Calculation Always use the insert mode for this operation Use d or e to move the cursor to the location where you want to insert new input and then input what you want ...

Страница 16: ...tion k Inputting with Math Format When inputting with Math format you can input and display fractions and some functions using the same format as they appear in your textbook Important Certain types of expressions can cause the height of a calculation formula to be greater than one display line The maximum allowable height of a calculation formula is two display screens 31 dots 2 Further input wil...

Страница 17: ...0 1l 4 e x Power of e 1i 4 Square Root 4 Cube Root 1 9 Square Cube w W 4 Reciprocal E 5 Power 6 4 Power Root 16 9 Absolute Value D 4 Parentheses or 1 Math Format Input Examples The following operations are all performed while Math format is selected Pay close attention to the location and size of the cursor on the display when you input using Math format Example 1 To input 23 1 MATH 263 Math e 1 M...

Страница 18: ...ntheses of 1 2 3 4 into the function MATH Math Move the cursor to here 1Y INS Math This changes the shape of the cursor as shown here Math This incorporates the expression in the parentheses into the function If the cursor is located left of a particular value or fraction instead of an open parentheses that value or fraction will be incorporated into the function specified here If the cursor is lo...

Страница 19: ...Pressing after inputting a calculation displays the result using irrational number form Pressing 1 after inputting a calculation displays the result using decimal values Note When LineIO is selected for the input output format calculation results are always displayed using decimal values no irrational number form regardless of whether you press or 1 π form form that includes π within irrational nu...

Страница 20: ... Unit Input Value Range Setting Angle Value Input for Form Calculation Result Deg Units of 15 앚x앚 9 109 Rad Multiples of π radians 앚x앚 20π Gra Multiples of grads 앚x앚 10000 Calculation results may be displayed in decimal form for input values outside of the above ranges k Form Calculation Range Results that include square root symbols can have up to two terms an integer term is also counted as a te...

Страница 21: ... d are outside the corresponding ranges of coefficients a c and d Example The result is displayed in decimal form even when any intermediate result has three or more terms Example 1 2 3 1 2 3 4 2 6 8 898979486 If a term is encountered during the calculation cannot be displayed as a root form or a fraction the calculation result is displayed in decimal form Example log3 2 1 891334817 2 3 4 8 3 35 2...

Страница 22: ...e 7 8 4 5 36 LINE 7 8 4 5 The calculator automatically judges the calculation priority sequence For more information see Calculation Priority Sequence Number of Decimal Places and Number of Significant Digits You can specify a fixed number of decimal places and significant digits for the calculation result Example 1 6 LINE Initial default setting Norm1 3 decimal places Fix3 FIX 3 significant digit...

Страница 23: ...2 11 002 3 1 4 Fraction Display Format ab c 4 3 12 1 1 4 3 Fraction Display Format ab c 2 2 If the total number of digits used for a mixed fraction including integer numerator denominator and separator symbols is greater than 10 the value is automatically displayed in decimal format The result of a calculation that involves both fraction and decimal values is displayed in decimal format Switching ...

Страница 24: ...0 30 150 100 005 Calculate what percentage of 880 is 660 75 006 Increase 2500 by 15 2875 007 Discount 3500 by 25 2625 008 Discount the sum of 168 98 and 734 by 20 800 009 If 300 grams are added to a test sample originally weighing 500 grams what is the percentage increase in weight 160 010 What is the percentage change when a value is increased from 40 to 46 How about to 48 15 20 k Degree Minute S...

Страница 25: ...d Decimal Pressing e while a calculation result is displayed toggles the value between sexagesimal and decimal Appendix 013 Convert 2 255 to its sexagesimal equivalent Using Multi statements in Calculations You can use the colon character to connect two or more expressions and execute them in sequence from left to right when you press Example To create a multi statement that performs the following...

Страница 26: ...ion history memory contents are cleared whenever you turn off the calculator press the O key change to the calculation mode or the input output format or perform any reset operation Calculation history memory is limited When the calculation you are performing causes calculation history memory to become full the oldest calculation is deleted automatically to make room for the new calculation Replay...

Страница 27: ...nts are updated whenever you execute a calculation using any one of the following keys 1 m 1m M t 1t STO Answer Memory can hold up to 15 digits Answer Memory contents are not change if an error occurs during the current calculation Answer Memory contents are maintained even if you press the A key change the calculation mode or turn off the calculator Using Answer Memory to Perform a Series of Calc...

Страница 28: ...lue or result of the expression to m independent memory Subtract the displayed value or result of the expression from 1m M independent memory Recall current independent tm M memory contents You can also insert the M variable into a calculation which tells the calculator to use the current independent memory contents at that location The following is the key operation for inserting the M variable S...

Страница 29: ...ents of a variable Example To recall the contents of variable A ty A The following shows how you can include variables inside of an expression Example To multiply the contents of variable A by the contents of variable B Sy A Se B Variable contents are maintained even if you press the A key change the calculation mode or turn off the calculator Appendix 015 Clearing the Contents of a Specific Varia...

Страница 30: ...arithm Base e You can input pi π or natural logarithm base e into a calculation The following shows the required key operations and the values this calculator uses for pi π and e π 3 14159265358980 15 π e 2 71828182845904 S5 e k Trigonometric and Inverse Trigonometric Functions The angle unit required by trigonometric and inverse trigonometric functions is one specified as the calculator s default...

Страница 31: ...le unit is degrees LINE 15 π 2 1G DRG 2 r 501G DRG 3 g Appendix 018 cos π radians 1 cos 100 grads 0 019 cos 1 1 180 cos 1 1 π k Exponential Functions and Logarithmic Functions For the logarithmic function log you can specify base m using the syntax log m n If you input only a single value a base of 10 is used for the calculation ln is a natural logarithm function with base e You can also use the k...

Страница 32: ...yed using the calculator s default angle unit Calculation result r is assigned to variable X while θ is assigned toY Converting to Rectangular Coordinates Rec Rec r θ r Specifies r value of polar coordinate θ Specifies θ value of polar coordinate Input value θ is treated as an angle value in accordance with the calculator s default angle unit setting Calculation result x is assigned to variable X ...

Страница 33: ...imal values are converted to 3 digit integer values by multiplying by 1000 Note that the values shown here are examples only Values actually generated by your calculator will be different Permutation nPr and Combination nCr These functions make it possible to perform permutation and combination calculations n and r must be integers in the range of 0 r n 1 1010 Appendix 034 How many four person per...

Страница 34: ...le 200 7 14 400 LINE 200 7 14 Specifies three decimal places 1N6 Fix 3 FIX Calculation is performed internally using 15 digits 200 7 FIX 14 FIX The following performs the same calculation with rounding 200 7 FIX Round the value to the specified number of digits 10 Rnd FIX Check rounded result 14 FIX ...

Страница 35: ...imal calculation result to one of the forms described below Performing S D transformation again converts back to the original decimal value Note When you transform from decimal form to standard form the calculator automatically decides the standard form to use You cannot specify the standard form Fraction The current fraction display format setting determines whether the result is an improper frac...

Страница 36: ...calculations in this section are performed in the STAT Mode N2 Selecting a Statistical Calculation Type In the STAT Mode display the statistical calculation type selection screen k Statistical Calculation Types Key Menu Item Statistical Calculation 1 1 VAR Single variable 2 A BX Linear regression 3 _ CX2 Quadratic regression 4 In X Logarithmic regression 5 e X e exponential regression 6 A B X ab e...

Страница 37: ... If you turn on the Statistical Display item on the calculator s setup screen a column labeled FREQ will also be included on the STAT editor screen You 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 value Rules for Inputting Sample Data on the STAT Editor Screen Data you input is inserted into the cell where the curs...

Страница 38: ...ted automatically whenever you change to another mode from the STAT Mode or change the Statistical Display setting which causes the FREQ column to be shown or hidden on the calculator s setup screen Editing Sample Data Replacing the Data in a Cell 1 On the STAT editor screen move the cursor to the cell you want to edit 2 Input the new data value or expression and then press Important Note that you...

Страница 39: ...TAT editor screen is on the display k STAT Calculation Screen The STAT calculation screen is for performing statistical calculations with the data you input with the STAT editor screen Pressing the A key while the STAT editor screen is displayed switches to the STAT calculation screen The STAT calculation screen also uses Linear format regardless of the current input output format setting on the c...

Страница 40: ...his When you want to do this menu item Display the Reg sub menu of commands for regression calculations 7Reg For details see Commands when Linear Regression Calculation A BX Is Selected and Commands when Quadratic Regression Calculation _ CX2 Is Selected Single variable 1 VAR Statistical Calculation Commands The following are the commands that appear on the sub menus that appear when you select 4 ...

Страница 41: ... FREQ data to the following 1 2 1 2 2 2 3 4 2 1 FREQ ON Examples 043 through 045 all use the same data as Example 042 043 Calculate sum of squares of the sample data and sum of the sample data 044 Calculate number of samples mean and population standard deviation 045 Calculate minimum value and maximum value Commands when Linear Regression Calculation A BX Is Selected With linear regression regres...

Страница 42: ...data 3xσn Population standard deviation of the X data 4xσn 1 Sample standard deviation of the X data 5p Mean of the Y data 6yσn Population standard deviation of the Y data 7yσn 1 Sample standard deviation of the Y data MinMax Sub menu 11 STAT 6 MinMax Select this When you want to obtain this menu item 1minX Minimum value of the X data 2maxX Maximum value of the X data 3minY Minimum value of the Y ...

Страница 43: ... coefficients 3C Quadratic coefficient C of the regression coefficients 4m1 Estimated value of x1 5m2 Estimated value of x2 6n Estimated value of y Sum sub menu sums Var sub menu number of samples mean standard deviation and MinMax sub menu maximum value minimum value operations are the same those for linear regression calculations Appendix Quadratic Regression Calculation 052 to 054 Examples 052 ...

Страница 44: ...lculation 061 to 065 Command Usage Tips The commands included in the Reg sub menu can take a long time to execute in logarithmic e exponential ab exponential or power regression calculation when there are a large number of data samples Equation Calculations EQN All calculations in this section are performed in the EQN Mode N3 k Equation Types An equation type menu appears when you press N3 EQN and...

Страница 45: ...ditor screen is first displayed The d column will become visible when you move the cursor to it which causes the screen to shift The values and expressions you can input on the coefficient editor screen are the same as those you can input in the COMP Mode with Linear format Pressing A while inputting data clears your current input After inputting data press This registers the value and displays up...

Страница 46: ...solutions depends on the equation Pressing A while a solution is displayed will return to the coefficient editor screen The display format of solutions is in accordance with the input output format and complex number display format settings of the calculator s setup screen Note that you cannot transform values to engineering notation while an equation solution is displayed Appendix Equation Calcul...

Страница 47: ...es 6 After specifying the step value press Pressing the A key returns to the function editor screen k Supported Function Types Except for the X variable other variables A B C D Y and independent memory M are all treated as values the current variable assigned to the variable or stored in independent memory Only variable X can be used as the variable of a function The coordinate conversion Pol Rec ...

Страница 48: ...lues as well as the values obtained when each x value is substituted in the function f x Note that you can use the number table screen for viewing values only Table contents cannot be edited Pressing the A key returns to the function editor screen k TABLE Mode Precautions Note that changing the input output format settings Math format or Linear format on the calculator s setup screen while in the ...

Страница 49: ...2 w 2 2 4 Multiplication and division and multiplication where the sign is omitted are the same priority Priority 7 so these operations are performed from left to right when both types are mixed in the same calculation Enclosing an operation within parentheses causes it to be performed first so the use of parentheses can result in different calculation results Example 1 215 π 1 2π 1 570796327 1 21...

Страница 50: ...ges and Precision Functions Input Range sinx DEG 0 x 9 109 RAD 0 x 157079632 7 GRA 0 x 1 1010 cosx DEG 0 x 9 109 RAD 0 x 157079632 7 GRA 0 x 1 1010 tanx DEG Same as sinx except when x 2n 1 90 RAD Same as sinx except when x 2n 1 π 2 GRA Same as sinx except when x 2n 1 100 sin 1x 0 x 1 cos 1x tan 1x 0 x 9 999999999 1099 sinhx 0 x 230 2585092 coshx sinh 1x 0 x 4 999999999 1099 cosh 1x 1 x 4 999999999...

Страница 51: ...he vicinity of a function s singular point and inflection point k Error Messages The calculator will display an error message when a result exceeds the calculation range when you attempt an illegal input or whenever any other similar problem occurs When an error message appears The following are general operations you can use when any error message appears Pressing d or e displays to the calculati...

Страница 52: ...ble calculation range by changing the Start End and Step values and try again 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 If one step does not correct the problem move on to the next step Note that you should make separate copies of important data before performing th...

Страница 53: ...ery from the calculator causes independent memory contents and values assigned to variables to be cleared 1 Press 1A OFF to turn off the calculator 2 On the back of the calculator remove the screws and the back cover 3 Remove the old battery 4 Load a new battery into the calculator with its positive k and negative l ends facing correctly 5 Replace the back cover and secure it in place with its scr...

Страница 54: ...attery Life Approximately 17 000 hours continuous display of flashing cursor Power Consumption 0 0002 W Operating Temperature 0 C to 40 C Dimensions 13 7 H 80 W 161 D mm 9 16 H 31 8 W 65 16 D Approximate Weight 110 g 3 9 oz including the battery Bundled Items Hard Case ...

Страница 55: ...CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan SA0411 A Printed in China ...

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