Contrast adjustment Pressing the [] or [] following [ MODE ] key can make the contrast of the screen lighter or darker. Holding either key down will make the display become respectively lighter or darker. SR-270II Scientific Calculator Display readout The display comprises the entry line, the result line, and indicators. General Guide Indicator Entry line Entry line To turn the calculator on, press [ ON/AC ] ; To turn the calculator off, press [ OFF ]. Battery replacement SR-270II is powered by two alkaline batteries (GP76A). If the display becomes dim and difficult to read, the batteries should be replaced as soon as possible. Indicator Independent memory Result is negative 2nd set of function keys is active. Alphabetic Keys ( A ~ F , M , X ~ Y ) are active. STO : Storing variable mode is active RCL : Recalling variable mode is active SD Statistics mode is active REG Regression mode is active DEGRAD Angle mode : DEGrees, GRADs, or RADs ENG Engineering notation. SCI Scientific notation. FIX Number of decimal places displayed is fixed HYP Hyperbolic-trig function will be calculated BUSY While an operation is executing There are digits to the left or right of the display There are earlier or later results that can be displayed Reset operation If the calculator is on but you get unexpected results, press [ ON/AC ] and then [ MODE ] four times to display the below menu. A message appears on the display to confirm whether you want to reset the calculator and clear memory contents after pressing [ 2 ]. [2] Meaning M – 2nd A STORCL This calculator automatically turns it off when not operated for approximately 9~15 minutes. It can be reactivated by pressing [ ON/AC ] key and the display, memory, settings are retained. → Result line SR-270II displays an entry of up to 79 digits. Entries begin on the left ; those with more than 11 digits scroll to the left. Press [] or [] to move the cursor through an entry. However, whenever you input the 73rd digit of any calculation, the cursor changes from “ _ ” to “ ” to let you know memory is running low. If you still need to input more, you should divide your calculation into two or more parts. Indicators The following indicators appear on the display to indicate you the current status of the calculator. Auto power-off function 2 Indicator Result line It displays a result of up to 10 digits, as well as a decimal, a negative sign, a “ x10 ” indicator, and a 2-digits positive or negative exponent. To replace batteries : 1) Remove the screws and the back cover. 2) Replace the old batteries and install new ones with polarity in correct directions, then secure the screws in place and press [ ON/AC ] to turn the power on. 1 66. Turning on or off ENG RESET DEG 74 – 8 ÷ 7 RESET : N Y 1 2 To clear all variables, pending operations, statistical data, answers, all previous entries, and memory, please press [ 2 ]. To abort the reset operation without clearing the calculator, please press [ 1 ]. If the calculator is lock and further key operations becomes impossible, please press [ 0 ] [ ON/AC ] at the same time to release the condition. It will return all settings to default settings. Before starting calculation Mode Selection 1 Replay function Each time [ MODE ] is pressed, various functions menus and all argument values corresponding to the desired mode is shown on the screen. It includes three calculation modes (COMP, SD, REG), three angle units (DEG, RAD, GRAD), four display notations (FIX, SCI, NORM, ENG) and reset function (RESET). • This function stores the latest operation executed. After execution is completed, pressing [ 2nd ] [] or [ 2nd ] [] key will display the operation from the beginning or the end. You can continue moving the cursor by [] or [] to edit it. To delete a digit, press [ DEL ]. ( or, in overwrite mode, just type over the digit). See Example 1. Entering an argument value can set up this calculator to operate as you want it to. Give “ SD ” as an example : 1. 2. • The replay function can keep input digits up to 256 characters for SR-270II. After execution is completed or during entering, you can press either [2nd ] [] or [2nd ] [] to display previous input steps and edit values or commands for subsequent execution. See Example 2. Press [ MODE ] once to display the calculation mode menu. Enter [ 2 ] to let this calculator being operated under standard deviation mode. COMP SD REG 1 2 3 SD [2] → (Note) :The replay function isn cleared even when [ ON/AC ] is pressed or power is turned off, so contents can be recalled even after [ ON/AC ] is pressed. 0. Using “ 2nd ” keys Error position display function To execute the functions marked in yellow, please press [ 2nd ] and then the corresponding key. When you press [ 2nd ], the “ 2nd ” indicator shown in the display is to tell you that you will be selecting the second function of the next key you press. If you press [ 2nd ] by mistake, simply press [ 2nd ] again to remove the “ 2nd ” indicator. • When a mathematically illegal calculation is performed, error position display function will tell you with the cursor where the error is. Press [] or [] to move the cursor and then give it a correct entry. You can also clear an error by pressing [ ON/AC ] and then re-entered the values and expression from the beginning. See Example 3. Cursor Pressing [] or [] key can move the cursor to the left or the right. Hold down any of those keys to move the cursor at high speed. Memory calculation Pressing [ 2nd ] [] or [ 2nd ] [] can scroll the display up or down while there are previous entries hidden the display. You can reuse or edit a previous entry when it is on the entry line. Independent memory • Press [ M+ ] to add a result to running memory. Press [ 2nd ] [ M– ] to subtract the value from running memory. To recall the value in running memory, press [ 2nd ] [ RCL ] [ M ]. To clear running memory, press [ 0 ] [ STO ] [ M ]. See Example 4. Making corrections during input To delete a character at the cursor, make the character underlined by using [] or [] to move the cursor, and then press [ DEL ] to delete the character. (Note) : Besides pressing [ STO ] key to store a value, you can also assign values to memory variable M by [ M+ ] or [ M– ]. To replace a character, make the character underlined by using [] or [] to move the cursor, and then enter a new entry to replace the character. Memory variable • The calculator has nine memory variables for repeated use : A, B, C, D, E, F, M, X, Y. You can store a real number in any of the nine memory variables. See Example 5. To insert a character, move the cursor to the position of the character where you want to insert, it will be inserted in the front of the character after pressing [ 2nd ] [ INS ] and entering a new character. * ” means the calculator is in insert * mode On the contrary, the blinking cursor is displayed as “_” and it means the calculator is in overwrite mode. * (Note) : The blinking cursor “ To clear all characters, clear all input character by [ ON/AC ] key. * 2 [ STO ] + A ~ F , M , or X ~ Y lets you store values to variables. [ 2nd ] [ RCL ] or [ ALPHA ] + A ~ F , M , or X ~ Y recalls the value of variable. [ 0 ] [ STO ] + A ~ F , M , or X ~ Y clears the content to a specified memory variable. [ 2nd ] [ Mcl ] [ = ] clears all variables. Stack This calculator uses memory areas, called “ stacks “, to temporarily store values (numeric stack) and commands (command stack ) according to their precedence during calculations. The numeric stack has 10 levels and command stack has 24 levels. A stack error (Stk ERROR) occurs whenever you try to perform a calculation that is so complex that the capacity of a stack is exceeded. cos x Order of operations sin -1 x, cos -1 x Each calculation is performed in the following order of precedence : sinh x, cosh x tan -1 x tanh x, tanh -1 x 1) 2) Coordinates transformation. Type A functions which are required entering values before pressing the function key, for example, x 2, , x !, x –1. 3) x y , x . 4) Fractions. 5) Abbreviated multiplication format in front of variables, π. 6) Type B functions which are required pressing the function key before entering, for example, sin, cos, tan, sin –1, cos –1, tan –1, sinh, cosh, tanh, sinh –1, cosh –1, tanh –1, log, ln, 10 X , , 3 , ( – ). e X, 7) Abbreviated multiplication format in front of Type B functions 2 3 , Alog2, etc. 8) nPr, nCr 9) x , ÷ 10) +, – • When functions with the same priority are used in series, execution is performed from right to left. e X ln120→ e X { ln (120 ) } otherwise, execution is from left to right. • Compound functions are executed from right to left. • Anything contained within parentheses receives the highest priority. 0 < l x l < 4.499999999 x 10 99 x >0 – 9.999999999 x 10 99 < x < 99.99999999 – 9.999999999 x 10 99 < x < 230.2585092 0 < x < 1 x 10 100 x2 l x l < 1 x 10 50 x –1 l x l < 1 x 10 100, x ≠ 0 x! 0 < x < 69 , x is an integer. l x l < 1 x 10 100 Pol ( x, y ) l x l, l y l < 9.999999999 x 10 49 x 2 + y 2 < 9.999999999 x 10 99 Rec (r,θ ) 0 < r < 9.999999999 x 10 99 Deg : 0 < l x l < 4.499999999 x 10 10 Rad : 0 < l x l < 785398163.3 Grad : 0 < l x l < 4.499999999 x 10 10 however, for tan x Deg : l θ l ≠ 90 (2n–1) π Rad : l θ l ≠ 2 (2n–1) Grad : l θ l ≠ 100 (2n–1) (n is an integer) l a l , b, c < 1 x 10 100, 0 < b, c Output digits : Up to 10 digits. Calculating digits : Up to 15 digits l x l < 1 x 10 100 In general, every reasonable calculation is displayed up to 10 digits mantissa, or 10-digits mantissa plus 2-digits exponent up to 10 ± 99. Sexagesimal ↔ Decimal transformation 0 0 0 < l x l < 999999 59 Numbers used as input must be within the range of the given function as follow : Functions 0< lxl< 1 0 < l x l < 230.2585092 0 < l x l < 9.999999999 x 10 99 0 < l x l < 9.999999999 x 10 – 1 sinh -1 x, cosh -1 x log x, ln x 10 x ex Accuracy and Capacity sin x, tan x Grad : 0 < l x l < 4.499999999 x 10 10 however, for tan x Deg : | x | ≠ 90 (2n–1) π Rad : | x | ≠ (2n–1) 2 Grad : | x | ≠ 100 (2n–1) ( n is an integer) Deg : 0 < l x l < 4.500000008 x 10 10 Rad : 0 < l x l < 785398164.9 Grad : 0 < l x l < 5.000000009 x 10 10 xy Input range x > 0 : – 1 x 10 100 < y log x < 100 x=0:y>0 x < 0 : y = n, 1/(2n+1), n is an integer. Deg : 0 < l x l < 4.499999999 x 10 10 Rad : 0 < l x l < 785398163.3 but – 1 x 10 100 < y log l x l <100 3 y > 0 : x ≠ 0, –1 x 10 100 < x1 log y <100 • [ 2nd ] [ % ] divides the number in the display by 100. You can use this key sequence to calculate percentages, add-ons, discounts, and percentages ratios. See Example 9~10. y=0:x>0 y < 0 : x = 2n+1, I/n, n is an integer.(n ≠ 0) but – 1 x 10 100 < x1 log l y l <100 Display formats nPr, nCr 0 < n < 99, r < n, n,r are integers. SD l x l <1x10 50, l y l <1x10 50, l n l <1x10 100 x σn, y σn, x , y, A, B, r : n ≠ 0 x σn-1, yσn-1 : n ≠ 0,1 This calculator has the following four display notation mode for the display value. (REG) Norm Notation : This calculator can display up to 10 digits. However, values that exceed this limit are automatically displayed in exponential format. There are two types of exponential display formats : Norm 1 mode : 10 –2 > l x l , l x l > 10 10 Norm 2 mode : 10 –9 > l x l , l x l > 10 10 Error conditions Error message will appear on the display and further calculation becomes impossible when any of the following conditions occur. Ma ERROR (Note) :All of the examples in this manual show calculation results using the Norm 1 mode. (1) When result of function calculations exceeds the range specified. (2) You attempted to divide by 0. (3) When your input values exceeds the allowable input range of function calculations Stk ERROR Capacity of the numeric stack or operator stack is exceeded. Syn ERROR You attempted to perform an illegal mathematical operation. Engineering Notation : ( ENG ) Calculation result is displayed using engineering notation, where the mantissa of the value is displayed with the number of decimal places specified and the exponent is set to a multiple of 3 for display. Fixed Notation : ( FIX ) Calculation result is displayed with the number of decimal places specified. To release the above errors, please press [ ON/AC ] key. Scientific Notation : ( SCI ) Calculation result is displayed using scientific notation, where the mantissa of the value is displayed with the number of decimal places specified. Basic Calculation ☺ Use the COMP mode for basic calculations. • For FIX, SCI notation, the number of decimal places can be set to any value between 0~9. After specifying the number of decimal places, the display value will be rounded to the corresponding number of digits and displayed. When no specification has been made for the number of decimal places or significant digits, Norm 1 and Norm 2 mode can be carried. See Example 11. Arithmetic calculation • For negative values, press [ (–) ] before entering the value; You can enter a number in mantissa and exponent form by [ EXP ] key. See Example 6. • Pressing [ ENG ] or [ 2nd ] [ ] will cause the exponent display for the number being displayed to change in multiples of 3. See Example 12. • Arithmetic operations are performed by pressing the keys in the same sequence as in the expression. See Example 7. Parentheses calculations • Even if the number of decimal places is specified, internal calculation for a mantissa is performed up to 15 digits for SR-270II, and the display value is stored in 10 digits. To round off those values to the specified number of decimal places, press [ 2nd ] [ RND ]. See Example 13. • Operation inside parentheses are always executed first. SR-270II can use up to 15 levels of consecutive parentheses in a single calculation. See Example 8. Continuous calculation function Percentage calculation 4 Angle units conversion • The calculator enables you to repeat the last operation executed by pressing [ = ] key for further calculation. See Example 14. The angle units (DEG, RAD, GRAD) is set by pressing [ MODE ] to display the angle menu. The relation among the three angle units is : • Even if calculations are concluded with the [ = ] key, the result obtained can be used for further calculation. See Example 15. 180 ° = π rad = 200 grad Angle conversions ( See Example 23.) : Answer function 1. • Answer function stores the most recently calculated result. It is retained even after the power is turned off. Once a numeric value or numeric expression is entered and [ = ] is pressed, the result is stored by this function. See Example 16. 2. 3. D 1 (Note) : Even if execution of a calculation results in an error, however, Answer memory retains its current value. ☺ Use the COMP mode for scientific calculations. G 3 Trigonometric / Inverse-Tri. functions Logarithms and Antilogarithms • SR-270II provides standard trigonometric functions and inverse trigonometric functions - sin, cos, tan, sin –1, cos –1 and tan –1. See Example 24~26. • The calculator can calculate common and natural logarithms and antilogarithms using [ log ], [ ln ], [ 2nd ] [ 10 x ], and [ 2nd ] [ e x ]. See Example 17~19. (Note) :When using those keys, make sure the calculator is set for the angle unit you want. Fraction calculation Hyperbolic / Inverse-Hyp. functions Fraction value display is as follow : 56 ┘ 5 ┘ 12 R 2 The units you can select are D (degrees), R (radians), G (Gradians). 4. Choose the units you are converting from. 5. Press [ = ]. Scientific Calculation 5 ┘ 12 Change the default angle settings to the units you want to convert to. Enter the value of the unit to convert. Press [ DRG→ ] to display the menu. 5 Display of 12 • SR-270II uses [ 2nd ] [ HYP ] to calculate the hyperbolic functions and inverse- hyperbolic functions - sinh, cosh, tanh, sinh –1, cosh –1 and tanh –1. See Example 27~28. 5 Display of 56 12 (Note) :When using those keys, make sure the calculator is set for the angle unit you want. (Note) :Values are automatically displayed in decimal format whenever the total number of digits of a fractional values (integer + numerator + denominator + separator marks) exceeds 10. Sexagesimal ↔ Decimal transformation b/ • To enter a mixed number, enter the integer part, press [ a c ], enter the numerator, press [ a b/ c ], and enter the denominator ; To enter an improper fraction, enter the numerator, press [ a b/c ], and enter the denominator. See Example 20. Sexagesimal notation is as follow 12 59 45.6 Represent 12 Degree, 59 Minutes, 45.6 Seconds • The calculator can preform the conversion between decimal and sexagesimal numbers by [ ] and [ 2nd ] [ ]. See Example 29~30. • By pressing [ 2nd ] [ d/c ], the displayed value will be converted to the improper fraction and vice versa. To convert between a decimal and fractional result, press [ a b/c ] .See Example 21. Coordinates transformation • Calculations containing both fractions and decimals are calculated in decimal format. See Example 22. Rectangular Coordinates 5 Polar Coordinates Y Y • P( x, y ) x + y i= r (cosθ + i sinθ ) y 0 • P( r, θ) x X r 0 θ ∑x2 [ RCL ] + [ A ] − x [ 2nd ] + [ x− ] ∑x [ RCL ] + [ B ] X σn [ 2nd ] + [ X σ n ] n [ RCL ] + [ C ] X σ n-1 [ 2nd ] + [ X σ n-1 ] X • The calculator can perform the conversion between rectangular coordinates and polar coordinates by [ ALPHA ] [ Pol ( ] and [ ALPHA ] [ Rec ( ]. Calculation results are automatically stored in memory variables E and F. See Example 31~32. Regression Calculation ☺ Use the REG mode for regression calculations. Press [ MODE ] 3 to enter the REG menu and then choose one of the six regression types by pressing the corresponding argument value, as follow : (Note) :When using those key, make sure the calculator is set for the angle unit you want. Lin Log Exp 1 2 3 Probability • This calculator provides the following probability functions : ( See Example 33~36.) [ nPr ] [ nCr ] [ x! ] [ RANDOM ] Calculates the number of possible permutations of n item taken r at a time. Calculates the number of possible combinations of n items taken r at a time. Calculates the factorial of a specified positive integer x , where x < 69. Generates a random number between 0.000 and 0.999 Other functions ( x–1, [] → ← [] P wr Inv Quad 1 2 3 Lin Linear Regression y=A+Bx Log Logarithmic Regression y = A + B lnx Exp Exponential Regression y = A • e Bx Pwr Power Regression Inv Inverse Regression y=A•xB y=A+B Quad Quadratic Regression y=A+Bx+Cx2 x • Always make sure you clear statistical memory by [ 2nd ] [ Scl ] before preforming regression calculation. , 3 , X , x2, x3, xy ) • The calculator also provides reciprocal ( [ x –1] ), square root ([ ]), cubic root ( [ 3 ] ), universal root [ X ], square ( [ x 2 ] ), cubic ( [ x 3 ] ) and exponentiation ( [ x y ] ) functions. See Example 37~40. • Individual data can be input using [ DT ] ; To delete data you just input, please press [ 2nd ] [ CL ]. Multiple data of the same value can be input using [ 2nd ] [ ; ]. For example, to input the data 40 and 55 ten times, press 40 [ , ] 55 [ 2nd ] [ ; ] 10 [ DT ]. Standard Deviation Calculation • The values of the statistical variables depend on the data you input. You can recall them by the key operations shown in the below table. To predict a value for x (or y) given a value for y (or x), enter the given ∧ ∧ value, press [ 2nd ] [ y ] (or [ 2nd ] [ x ] ), and press [ = ] again. See Example 42~43. ☺ Use the SD mode for standard deviation calculations. • Always make sure you clear statistical memory by [ 2nd ] [ Scl ] before preforming standard deviation calculation. • Individual data can be input using [ DT ] ; To delete data you just input, please press [ 2nd ] [ CL ]. Multiple data of the same value can be input using [ 2nd ] [ ; ]. For example, to input the data 15 seven times, press 15 [ 2nd ] [ ; ] 7 [ DT ]. • The values of the statistical variables depend on the data you input. You can recall them by the key operations shown in the below table. See Example 41. 6 ∑x2 [ RCL ] + [ A ] [ RCL ] + [ B ] x σn x σn-1 [ 2nd ] + [ ∑x n [ RCL ] + [ C ] y− −] [ 2nd ] + [ y ∑y2 [ RCL ] + [ D ] [ 2nd ] + [ y σ n ] ∑y [ RCL ] + [ E ] y σn y σn-1 ∑xy [ RCL ] + [ F ] A [ 2nd ] + [ A ] ∑x3 [ RCL ] + [ M ] B [ 2nd ] + [ B ] ∑x 2 y [ RCL ] + [ X ] C [ 2nd ] + [ C ] ∑x 4 [ RCL ] + [ Y ] r − x [ 2nd ] + [ − x] x ∧ ∧ y The unit complies with the requirements of Directive 89/336/EEC as amended by 93/68/EEC x σn ] [ 2nd ] + [ x σ n-1 ] [ 2nd ] + [ y σ n-1 ] [ 2nd ] + [ r ] ∧ [ 2nd ] + [ x ] ∧ [ 2nd ] + [ y ] CBM Bldg. 5-68-10 Nakano, Nakano-ku TOKYO 164-0001, JAPAN TEL.03-5345-7430 FAX.03-5345-7431 CITIZEN is a registered trademark of CITIZEN Watch Co.,Japan PRINTED IN CHINA (E) HDBMR17D101 MWB 7 [] [ 2nd ] [ INS ] 1 [ = ] DEG 14 / 10 2.3 3.22 SR-270II / SR-275 Example 4 [ ( 3 x 5 ) + ( 56 ÷ 7 ) – ( 74 – 8 x 7 ) ] = 5 Example 3 [ x ] 5 [ STO ] [ M ] DEG M= Example 1 56 [ ÷ ] 7 [ M+ ] Change 123 x 456 as 12 x 457 123 [ x ] 456 [ = ] DEG 123 456 DEG [ 2nd ] [ RCL ] [ M ] M= DEG M 12 456 74 [ – ] 8 [ x ] 7 [ 2nd ] [ M– ] DEG 12 457_ 23. DEG 74 – 8 7 18. M 56088. [=] 8. 56088. [] [] [] 7 DEG 56 / 7 M 56088. [] [] [] [ DEL ] 15. M DEG [ 2nd ] [ RCL ] [ M ] M= DEG M 12 457 5484. 0 [ STO ] [ M ] 5. DEG M= Example 2 0. After executing 1+ 2, 3 + 4, 5 + 6, use replay function to recall 1[+]2[=]3[+]4[=]5[+]6[=] Example 5 DEG 5+6 11. DEG [ 2nd ] [] Put the value 30 into variable A 30 [ STO ] [ A ] 5+6 DEG A= 30. 11. [ 2nd ] [] DEG 3+4 11. Multiple 5 to variable A, then put the result into variable B 5 [ x ] [ ALPHA ] [ A ] [ = ] DEG 5 A 150. DEG [ 2nd ] [] 1+2 [ STO ] [ B ] 11. DEG B= 150. Example 3 14 ÷ 0 x 2.3 mistakenly input instead of 14 ÷ 10 x 2.3 14 [ ÷ ] 0 [ x ] 2.3 [ = ] After 5 Sec DEG DEG [ 2nd ] [ RCL ] [ A ] DEG A= 30. Ma ERROR . 14 / 0 2.3 Recall the value of variable A 0. 1 To clear the contents of all variables [ 2nd ] [ Mcl ] [ = ] [ MODE ] [ MODE ] [ MODE ] 2 DEG Mcl SCI 0 ~ 9 ? 0. 4 Example 6 DEG SCI 6 / 7 8.571 X 10 ( 2 + 3 ) x 10 – 2 = 0.05 [ ( ] 2 [ + ] 3 [ ) ] [ x ] 1 [ EXP ] [ (–) ] 2 [ = ] ( 2 + 3 )1 E –2 0.05 ENG 1 1 Example 7 DEG DEG ENG Example 12 2 + 3 ( 5 + 4 29. 150 m = 150000 cm = 0.15 km 150 [ = ] [ ENG ] [ ENG ] Example 8 DEG 150000 [ 2nd ] [ DEG ] [ 2nd ] [ ] 2 (7 + 6 (5 + 4 122. X 10 –03 DEG 150 0.15 X 10 03 Example 13 Example 9 RND ( 1 ÷ 6 ) x 6 = 1.002 120 x 30 % = 36 120 [ x ] 30 [ 2nd ] [ % ] 150 2 x { 7 + 6 x ( 5 + 4 ) } = 122 2[x][(]7[+]6[x][(]5[+]4[=] RESET 2 6 / 7 857.1428571 X 10 –03 2 + 3 x ( 5 + 4 ) = 29 2[+]3[x][(]5[+]4[=] –01 [ MODE ] [ MODE ] [ MODE ] [ MODE ] DEG 1[÷]6[=] DEG 120 30 DEG 1/6 0.166666666 36. [ MODE ] [ MODE ] [ MODE ] 1 Example 10 FIX 0 ~ 9 ? 88 ÷ 55% = 160 88 [ ÷ ] 55 [ 2nd ] [ % ] 3 DEG DEG 0.167 160. [ 2nd ] [ RND ] Example 11 DEG FIX 1/6 0.167 6 ÷ 7 = 0.857142857 6[÷]7[=] FIX 1/6 88 / 55 [x]6[=] DEG 6 / 7 DEG Example 14 [ MODE ] [ MODE ] [ MODE ] 1 FIX 0 ~ 9 ? DEG 1.002 0.857142857 2 FIX Ans 6 3 x 3 x 3 x 3 = 81 3[x]3[=] FIX 6 / 7 DEG 3 3 9. 0.86 [x]3[=] DEG Ans 3 27. 2 [=] DEG Example 21 Ans 3 81. Example 15 To calculate ÷ 6 after 3 x 4 = 12 3[x]4[=] 4 [ a b/c ] 2 [ a b/c ] 4 [ = ] 34 [ a b/c ] DEG 4 ¢}2¢} 4 DEG Ans / 6 4¢} 1¢} 2 12. [÷]6[=] DEG 4¢} 2 ¢}4 DEG 4.5 2. [ 2nd ] [ d/c ] DEG 4 ¢}2¢} 4 Example 16 9¢} 2 123 + 456 = 579 789 – 579 = 210 [ 2nd ] [ d/c ] DEG 4 ¢}2¢} 4 DEG 123 [ + ] 456 [ = ] 4¢} 1¢} 2 123 + 456 579. 789 [ – ] [ Ans ] [ = ] Example 22 DEG 789 – Ans 210. 8 4 + 3.75 = 12.55 5 Example 17 8 [ a b/c ] 4 [ a b/c ] 5 [ + ] 3.75 [ = ] ln7 + log100 =3.945910149 [ ln ] 7 [ + ] [ log ] 100 [ = ] DEG l n 7 + l o g 100 3.945910149 Example 23 2 π rad. = 360 deg. Example 18 [ MODE ] [ MODE ] 10 2 = 100 [ 2nd ] [ 10 x ] 2 [ = ] DEG RAD GRAD 1 2 3 DEG 10 2 1 100. Example 19 2 [ 2nd ] [ π ] e – 5 = 0.006737947 [ 2nd ] [ e x ] [ ( – ) ] 5 [ = ] DEG DEG 2π 0. DEG e –5 6.737946999 x 10 –03 [ 2nd ] [ DRG] D 1 Example 20 2[=] 7 2 + 14 5 = 22 8 3 7 21 7 [ a b/c ] 2 [ a b/c ] 3 [ + ] 14 [ a b/c ] 5 [ a b/c ] 7 [ = ] DEG 8 ¢}4 ¢} 5 + 3.75 12.55 DEG Example 24 7¢}2¢} 3 + 14¢}5¢}7 22¢} 8¢} 21 sin30 Deg. = 0.5 3 R 2 G 3 DEG 2π r 360. Example 30 [ MODE ] [ MODE ] DEG RAD GRAD 1 2 3 1 [ sin ] 30 [ = ] 2 45 10.5 = 2.752916667 2[ DEG ] 45 [ ] 10.5 [ 0.5 [ Example 25 cos ( ][=] DEG 2 ° 45 ° 10.5 ° 2 45 10.5 sin 30 2π rad ) = – 0.5 3 ] DEG 2 ° 45 ° 10.5 ° 2.752916667 Example 31 If x = 5 , y = 30, what are r , θ ° Ans : r = 30.41381265 θ = 80.53767779 ° [ MODE ] [ MODE ] DEG RAD GRAD 1 2 3 2 [ cos ] [ ( ] 2 [ 2nd ] [ π ] [ ÷ ] 3 [ = ] [ ALPHA ] [ Pol ( ] 5 [ , ] 30 [ = ] RAD cos ( 2 π / 3 – 0.5 DEG Pol ( 5, 30 30.41381265 [ 2nd ] [ RCL ] [ F ] DEG F= Example 26 80.53767779 sin -1 0.5 = 30 Deg. Example 32 [ MODE ] [ MODE ] If r = 25 , θ = 56°, what are x , y ? Ans : x = 13.97982259 y = 20.72593931 DEG RAD GRAD 1 2 3 1 [ 2nd ] [ sin –1 ] 0.5 [ = ] [ ALPHA ] [ Rec ( ] 25 [ , ] 56 [ = ] DEG sin –1 0.5 30. DEG Rec ( 25, 56 13.97982259 DEG [ 2nd ] [ RCL ] [ F ] Example 27 F= 20.72593931 cosh1.5 + 2 = 4.352409615 [ 2nd ] [ HYP ] [ cos ] 1.5 [ + ] 2 [ = ] Example 33 DEG cosh 1.5 + 2 4.352409615 7! = 840 [(7 – 4)] ! Example 28 sinh -1 7 = 2.644120761 7 [ 2nd ] [ nPr ] 4 [ = ] [ 2nd ] [ HYP ] [ 2nd ] [ sin –1 ] 7 [ = ] sinh 7 2.644120761 DEG 7 lP 4 DEG –1 840. Example 34 Example 29 7! = 35 4 ! [(7 – 4)] ! 12.755 = 12 45 18 12.755 [ = ] [ 2nd ] [ ] DEG 12.755 12 45 18 7 [ 2nd ] [ nCr ] 4 [ = ] DEG 7 lC 4 35. 4 3 [ DT ] 2 [ DT ] 5 [ DT ] 9 [ DT ] [ 2nd ] [ RCL ] [ A ] Example 35 SD DEG ∑x 2 119. 5 ! = 120 DEG 5 [ 2nd ] [ x ! ] [ = ] [ 2nd ] [ RCL ] [ B ] 5! SD DEG ∑x 19. 120. [ 2nd ] [ RCL ] [ C ] Example 36 SD DEG n= Generates a random number between 0.000 ~0.999 4. − [ 2nd ] [ x ] [ = ] DEG [ 2nd ] [ RANDOM ] [ = ] Ran # − x SD DEG 4.75 0.388 [ 2nd ] [ X σn ] [ = ] Example 37 1 1.25 = 0.8 X σn [ 2nd ] [ X σn-1 ] [ = ] 1.25 [ x – 1] [ = ] SD DEG –1 0.8 Example 42 Find A, B, and r for the following data using linear regression and estimate Example 38 x ’ =? for y =573 and y’ = ? for x = 19. 5 3 + 2 2 + 4 + 21 + 3 125 = 139 5 [ 2nd ] [ x 3 ] [ + ] 2 [ x 2 ] [ + ] [ ] ] 125 [ = ] [ ( ] 4 [ + ] 21 [ ) ] [ + ] [ 2nd ] [ 4 5 n x y DEG 3 +2 2 + ( 4+21 139. 1 15 451 2 17 475 3 21 525 Lin Log Exp 1 2 3 1 [ 2nd ] [ Scl ] [ = ] 625 = 5 x 4 [ 2nd ] [ √ 4 28 678 [ MODE ] 3 Example 39 4 X σn-1 3.095695937 DEG 1.25 SD DEG 2.680951324 REGDEG Scl 0. ] 625 [ = ] DEG 4 15 [ , ] 451 [ DT ] 17 [ , ] 475 [ DT ] 21 [ , ] 525 [ DT ] 28 [ , ] 678 [ DT ] [ 2nd ] [ A ] [ = ] 625 5. Example 40 REGDEG 176.1063291 [ 2nd ] [ B ] [ = ] 7 4 = 2401 A REGDEG B 17.58734177 7[xy]4[=] DEG 7xy4 [ 2nd ] [ r ] [ = ] 2401. REGDEG r 0.989845164 Example 41 ∧ 573 [ 2nd ] [ x ] Enter data : X 1 = 3, X 2 = 2, X 3 = 5 , X 4 = 9, then find out ∑ x 2 = 119, ∑x= − 19, n = 4, x = 4.75, x σn = 2.680951324, X σ n-1= 3.095695937 [ MODE ] 2 [ 2nd ] [ Scl ] [ = ] ∧ REGDEG x 22.56700734 ∧ SD DEG 19 [ 2nd ] [ y ] Scl 0. ∧ REGDEG y 510.2658228 5 Example 43 Find A, B, and C for the following data using quadratic regression and estimate y’ = ? for x = 58 and x’ =? for y =143 n x y 1 57 101 2 61 117 3 67 155 [ MODE ] 3 [] Pwr 1 Inv Quad 2 3 REGDEG 3 [ 2nd ] [ Scl ] [ = ] Scl 0. 57 [ , ] 101 [ DT ] 61 [ , ] 117 [ DT ] 67 [ , ] 155 [ DT ] [ 2nd ] [ A ] [ = ] REGDEG A 684.3 M [ 2nd ] [ B ] [ = ] REGDEG B 23.53333333 M [ 2nd ] [ C ] [ = ] REGDEG C M ∧ 58 [ 2nd ] [ y ] REGDEG ∧ y 104.3 M ∧ 143 [ 2nd ] [ x ] 1 ∧ ∧ x2 M PRINTED IN CHINA REGDEG ∧ x M [ 2nd ] [ x ] 0.233333333 65.36790453 REGDEG 35.48923833 (Ex) HDBM17D1508 MWB 6

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