hp 9g Graphing Calculator Contents Chapter 1 : General Operations ................................... 4 Power Supply .................................................................... 4 Turning on or off ........................................................................... 4 Battery replacement ...................................................................... 4 Auto power-off function ................................................................ 4 Reset operation ............................
Display Format ................................................................ 13 Parentheses Calculations .................................................. 14 Percentage Calculations ................................................... 14 Repeat Calculations ......................................................... 14 Answer Function.............................................................. 14 Chapter 4 : Common Math Calculations...................... 15 Logarithm and Antilogarithm ..................
Probability Distribution (1-Var Data) ................................. 23 Regression Calculation ..................................................... 24 Chapter 7 : BaseN Calculations .................................. 24 Negative Expressions....................................................... 25 Basic Arithmetic Operations for Bases............................... 25 Logical Operation ............................................................ 25 Chapter 8 : Programming..............................
Chapter 1 : General Operations Power Supply Turning on or off To turn the calculator on, press [ ON ]. To turn the calculator off, press [ 2nd ] [ OFF ]. Battery replacement The calculator is powered by two alkaline button batteries (GP76A or LR44). When battery power becomes low, LOW BATTERY appears on the display. Replace the batteries as soon as possible. To replace the batteries: 1. 2. 3. 4. 5. Remove the battery compartment cover by sliding it in the direction of the arrow. Remove the old batteries.
darker. Display Features Graph display Calculation display Entry line Displays an entry of up to 76 digits. Entries with more than 11 digits will scroll to the left. When you input the 69th digit of a single entry, the cursor changes from to to let you know that you are approaching the entry limit. If you need to input more than 76 digits, you should divide your calculation into two or more parts. Result line Displays the result of a calculation.
SCIENG SCIentific or ENGineering display format FIX Number of decimal places displayed is fixed HYP Hyperbolic trig function will be calculated The displayed value is an intermediate result There are digits to the left or right of the display There are earlier or later results that can be displayed. These indicators blink while an operation or program is executing. Chapter 2 : Before Starting a Calculation Changing Modes Press [ MODE ] to display the modes menu.
Label color Meaning White Just press the key Yellow Press [ 2nd ] and then the key Green In Base-N mode, just press the key Blue Press [ ALPHA ] and then the key Using the 2nd and ALPHA keys To execute a function with a yellow label, press [ 2nd ] and then the corresponding key. When you press [ 2nd ], the 2nd indicator appears to indicate that you will be selecting the second function of the next key you press.
] or [ ] to move the cursor to that To delete a character, press [ character and then press [ DEL ]. (When the cursor is on a character, the character is underlined.) To undo the deletion, immediately press [ 2nd ] [ ]. To clear all characters, press [ CL/ESC ]. See Example 1. Recalling Previous Inputs and Results Press [ ] or [ ] to display up to 252 characters of previous input, values and commands, which can be modified and re-executed. See Example 2.
memories can be added in this way, giving you a maximum of 59 memories (26 + 33). Note: To restore the default memory configuration—26 memories—specify Defm 0. Expanded memories are named A [ 1 ] , A [ 2 ] etc and can be used in the same way as standard memory variables. See Example 7. Note: When using array variables, be careful to avoid overlap of memories. The relation between memories is as follows: Order of Operations Each calculation is performed in the following order of precedence: 1.
5. Abbreviated multiplication format involving variables, π, RAND, RANDI. 6. ( – ) 7. Abbreviated multiplication format in front of Type B functions, , Alog2, etc. 8. nPr, nCr 9. × , 10. +, – 11. Relational operators: = =, < , >, ≠, ≤ , ≥ 12. AND, NAND (BaseN calculations only) 13. OR, XOR, XNOR (BaseN calculations only) d/e, F D, DMS) 14. Conversion (A b/c When functions with the same priority are used in series, execution is performed from right to left.
tan –1 x x < 1 × 10 sinh x, cosh x x ≦ 230.2585092 tanh x x < 1 × 10 100 sinh –1 x x < 5 × 10 99 cosh –1 x tanh –1 x 1 ≦ x < 5 × 10 x 1 × 10 10 ex x x 2 x -1 X! P ( x, y ) R (r,θ) 99 < 1 log x, ln x x 100 –99 ≦ x < 1 × 10 100 –1 × 10 100 < x < 100 –1 × 10 100 < x ≦ 230.2585092 0 ≦ x < 1 × 10 x < 1 × 10 x < 1 × 10 100 50 100 , x≠0 0 ≦ x ≦ 69, x is an integer. x 2 + y 2 <1 × 10 100 0 ≦ r< 1 × 10 100 Deg:│θ│<4.5 × 10 10 deg Rad:│θ│<2.
nPr, nCr 0 ≦ r ≦ n, n < 10 STAT | x | < 1×10 100,| y | < 1×10 100 1 -VAR : n ≦ 30, 2 -VAR : n ≦ 30 FREQ.
2. An improper argument was used in a command or function. 3. An END statement is missing from a program. LENGTH Er An entry exceeds 84 digits after implied multiplication with auto-correction. OUT OF SPEC You input a negative CPU or CPL value, where C = PU USL – x 3σ and C = PL x – LSL 3σ NEST Er Subroutine nesting exceeds 3 levels. GOTO Er There is no corresponding Lbl n for a GOTO n. GOSUB Er 1. There is no corresponding PROG n for a GOSUB PROG n. 2.
• A decimal format is selected by pressing [ 2nd ] [ FIX ] and selecting a value from the menu (F0123456789). To set the displayed decimal places to n, enter a value for n directly, or press the cursor keys until the value is underlined and then press [ ]. (The default setting is floating point notation (F) and its n value is •). See Example 11. • Number display formats are selected by pressing [ 2nd ] [ SCI/ENG ] and choosing a format from the menu.
When you enter a numeric value or numeric expression and press [ ], the result is stored in the Answer function, which you can then quickly recall. See Example 19. Note: The result is retained even if the power is turned off. It is also retained if a subsequent calculation results in an error. Chapter 4 : Common Math Calculations Logarithm and Antilogarithm You can calculate common and natural logarithms and antilogarithms using [ log ], [ ln ], [ 2nd ] [ 10 x ], and [ 2nd ] [ e x ]. See Example 20.
To change the angular unit setting to another setting, press [ DRG ] repeatedly until the angular unit you want is indicated on the display. The 1. 2. 3. conversion procedure follows (also see Example 25): Change the angle units to the units you want to convert to. Enter the value of the unit to convert. Press [ 2nd ] [ DMS ] to display the menu. The units you can select are °(degrees), ’ (minutes), ” (seconds), r (radians), g (gradians) or DMS (Degrees-Minutes-Seconds). 4.
Press [ MATH ] repeatedly to is display a list of mathematical functions and their associated arguments. See Example 31. The functions available are: ! Calculate the factorial of a specified positive integer n , where n≦69. RAND Generate a random number between 0 and 1. RANDI Generate a random integer between two specified integers, A and B, where A ≦ random value≦ B. RND Round off the result. MAX Determine the maximum of given numbers. (Up to 10 numbers can be specified.
1. 2. Enter the number you want to convert. Press [ 2nd ] [ CONV ] to display the units menu. There are 7 menus, covering distance, area, temperature, capacity, weight, energy, and pressure. ] or [ 3. Press [ ] to scroll through the list of units until the appropriate units menu is shown, then press [ ]. 4. Press [ ] to convert the number to the highlighted unit.
1. 2. 3. 4. Position your cursor where you want the constant inserted. Press [ 2nd ] [ CONST ] to display the physics constants menu. Scroll through the menu until the constant you want is underlined. Press [ ]. (See Example 34.) Multi-statement functions Multi-statement functions are formed by connecting a number of individual statements for sequential execution. You can use multi-statements in manual calculations and in the program calculations.
After setting the range, press [ Graph ] and enter the expression to be graphed. See Example 37. Graph ↔ Text Display and Clearing a Graph Press [ G versa. T ] to switch between graph display and text display and vice To clear the graph, please press [ 2nd ] [ CLS ]. Zoom Function The zoom function lets you enlarge or reduce the graph. Press [ 2nd ] [ Zoom x f ] to specify the factor for enlarging the graph, or press [ 2nd ] [ Zoom x 1/f ] to specify the factor for reducing the graph.
] and This function lets you move a pointer around a graph by pressing [ ]. The x- and y-coordinates of the current pointer location are displayed [ on the screen. This function is useful for determining the intersection of superimposed graphs (by pressing [ 2nd ] [ X Y ]). See Example 40. Note: Due to the limited resolution of the display, the position of the pointer may be an approximation. Scrolling Graphs After generating a graph, you can scroll it on the display.
7. ][ ] to scroll through the statistical Press [ ][ ] or [ variables until you reach the variable you are interested in (see table below). Variable Meaning Number of x values or x–y pairs entered. n or Mean of the x values or y values. Xmax or Ymax Maximum of the x values or y values. Xmin or Ymin Minimum of the x values or y values. Sx or Sy Sample standard deviation of the x values or y values. σx orσy Population standard deviation of the x values or y values.
, Cpx or Cpy Potential capability precision of the x values or y values, Cpkx or Cpky Minimum (CPU, CPL) of the x values or y values, where CPU is the upper spec. limit of capability precision and CPL is lower spec. limit of capability precision. C pkx = Min (CPUX, CPLX) = Cpx(1–Cax) Cpky = Min (CPUY, CPLY) = Cpy(1–Cay) ppm Parts per million, Defection Per Million Opportunities. , Note: When calculating process capability in 2-VAR mode, the x n and y values are independent of each other.
R(t) The cumulative fraction of the standard normal distribution that lies between t and 0. R(t) = 1 – t. Q(t) The cumulative fraction of the standard normal distribution that is greater than t. Q(t) = | 0.5– t |.
You can enter numbers in base 2, base 8, base 10 or base 16. To set the number base, press [ 2nd ] [ dhbo ], select an option from the menu and ]. An indicator shows the base you selected: d, h, b , or o. (The press [ default setting is d: decimal base). See Example 49.
Before Using the Program Area Number of Remaining Steps: The program capacity is 400 steps. The number of steps indicates the amount of storage space available for programs, and it will decrease as programs are input. The number of remaining steps will also decrease when steps are converted to memories. See Array Variables above. Program Type: You must specify in each program the calculation mode that the calculator should enter when executing the program.
INPUT memory variable ⇒ Makes the program pause for data input. memory variable = _ appears on the display. Enter a value and press [ ]. The value is assigned to the specified variable, and the program resumes execution. To input more than one memory variable, separate them with a semicolon (;). PRINT “ text ” , memory variable ⇒ Print the text specified inside the double quotation marks and the value of the specified memory variable.
⇒ Each program needs an END command to mark the end of the program. This is displayed automatically when you create a new program. Increment and decrement Post-fixed: Memory variable + + or Memory variable – – Pre-fixed: + + Memory variable or – – Memory variable ⇒ A memory variable is decreased or increased by one. For standard memory variables, the + + ( Increment ) and – – ( Decrement ) operators can be either post-fixed or pre-fixed. For array variables, the operators must be pre-fixed.
⇒ The SWAP command swaps the contents in two memory variables. Relational Operators The relational operators that can be used in FOR loops and conditional branching are: = = (equal to), < (less than), > (greater than), ≠ (not equal to), ≤ (less than or equal to), ≥ (greater than or equal to). Creating a New Program 1. 2. Select NEW from the program menu and press [ ]. Select the calculation mode you want the program to run in and press ]. [ 3.
Debugging a Program A program might generate an error message or unexpected results when it is executed. This indicates that there is an error in the program that needs to be corrected. • Error messages appear for approximately 5 seconds, and then the cursor blinks at the location of the error. • To correct an error, select EDIT from the program menu. • You also can select TRACE from the program menu. The program is then checked step-by-step and a message alerts you to any errors.
3. 4. To erase all the programs, select ALL. A message appears asking you to confirm that you want to delete the program(s). ] to move the cursor to Y and then press [ Press [ ]. 5. To exit DEL mode, select EXIT from the program menu. Program Examples See Examples 54 to 63.
[ ] [ ] [ ] Example 3 Enter 14 14 [ 0 × 2.3 and then correct it to 14 ] 0 [ × ] 2.3 [ ] (after 5 Seconds ) [ ]1[ ] Example 4 [ ( 3 × 5 ) + ( 56 7 ) – ( 74 – 8 × 7 ) ] = 5 3 [ × ] 5 [ M+ ] E-32 10 × 2.
56 [ ] 7 [ M+ ] [ MRC ] [ ] 74 [ – ] 8 [ × ] 7 [ 2nd ] [ M– ] [ MRC ] [ ] [ MRC ] [ MRC ] [ CL / ESC ] Example 5 (1) Assign 30 into variable A [ 2nd ] [ CL-VAR ] 30 [ SAVE ] [A][ ] 0 (2) Multiply variable A by 5 and assign the result to variable B 5 [ × ] [ 2nd ] [ RCL ] [ ][ ] E-33
[ SAVE ] [ B ] [ ] 1 (3) Add 3 to variable B [ ALPHA ] [ B ] [+]3[ ] 2 (4) Clear all variables [ 2nd ] [ CL-VAR ] [ 2nd ] [ RCL ] Example 6 (1) Set PROG 1 = cos (3A) + sin (5B), where A = 0, B = 0 [ cos ] 3 [ ALPHA ] [ A ] [ ] [ + ] [ sin ] 5 [ ALPHA ] [ B ] [ ] [ SAVE ] [ PROG ] 1 [ ] 3 (2) Set A = 20,B = 18, get PROG 1 = cos (3A) + sin (5B) = 1.
[ PROG ] 1 [ [ CL / ESC ] 20 [ ][ [ ] CL ][ ] / ESC ] 18 Example 7 (1) Expand the number of memories from 26 to 28 [ MATH ] [ MATH ] [ MATH ] [ MATH ] [ ] [ ]2 [ ] 4 (2) Assign 66 to variable A [ 27 ] 66 [ SAVE ] [ A ] [ ALPHA ] [ [ ] ] 27 [ ] E-35
5 (3) Recall variable A [ 27 ] [ ALPHA ] [ A ] [ ALPHA ] [ [ ] ] 27 [ ] 6 (4) Return memory variables to the default configuration [ MATH ] [ MATH ] [ MATH ] [ MATH ] [ ] [ ]0[ ] Example 8 7 + 10 × 8 2 = 47 7 [ + ] 10 [ × ] 8 [ [ ] ]2 Example 9 – 3.5 + 8 4 = –1.5 [ ( – ) ] 3.
12369 [ × ] 7532 [ × ] 74103 [ ] Example 11 6 7 = 0.857142857 6[ ]7[ [ 2nd ] [ FIX ] [ [ ] ] ][ ] ] [ [ 2nd ] [ FIX ] 4 [ 2nd ] [ FIX ] [ • ] Example 12 1 6000 = 0.0001666...
[ 2nd ] [ SCI / ENG ] [ [ ] ] [ 2nd ] [ SCI / ENG ] [ [ ] ] [ 2nd ] [ SCI / ENG ] [ [ ] ] Example 13 0.0015 = 1.5 × 10 1.5 [ EXP ] [ (–) ] 3 [ –3 ] Example 14 20 G byte + 0.15 K byte = 2.
20 [ 2nd ] [ ENG SYM ] [ [ ] ] ] [ + ] 0.15 [ 2nd ] [ [ ENG SYM ] [ ][ ] Example 15 ( 5 – 2 × 1.5 ) × 3 = 6 [ ( ) ] 5 [ – ] 2 [ × ] 1.
88 [ [ ] 55 [ 2nd ] [ % ] ] Example 18 3 × 3 × 3 × 3 = 81 3[ × ]3[ ] ] [ × ]3[ [ ] 8 Calculate 6 after calculating 3 × 4 = 12 3[ × ]4[ [ ]6[ ] ] Example 19 123 + 456 = 579 123 [ + ] 456 [ 789 – 579 = 210 ] E-40
789 [ – ] [ 2nd ] [ ANS ] [ ] Example 20 ln7 + log100 = 3.945910149 [ ln ] 7 [ [ ] ] [ + ] [ log ] 100 9 10 2 = 100 [ 2nd ] [ 10 x ] 2 [ 10 e –5 ] = 0.
4 [ A b/c ] 2 [ A b/c ] 4 [ ] [ 2nd ] [ A b/c [ ] [ 2nd ] [A b/c d d /e ] /e ] [ ] Example 23 4 [ A b/c ] 1 [ A b/c ] 2 [ 2nd ] [F ] D][ Example 24 8 [ A b/c ] 4 [ A b/c ] 5 [ + ] 3.75 [ ] Example 25 2 rad. = 360 deg.
[ ] 2 [ 2nd ] [ ] [ 2nd ] [ DMS ] [ ][ ] [ ] [ ][ ] Example 26 1.5 = 1O 30 I 0 II ( DMS ) 1.5 [ 2nd ] [ DMS ] [ [ ][ ] ] Example 27 2 0 45 I 10.5 II = 2.752916667 2 [ 2nd ] [ DMS ] [ [ ] [ [ ][ ] 45 [ 2nd ] [ DMS ] ] 10.
[ ][ ] Example 28 sin30 Deg. = 0.5 [ DRG ] [ ] [ sin ] 30 [ ] 11 sin30 Rad. = – 0.988031624 [ DRG ] [ ] ] [ sin ] 30 [ [ ] 12 sin –1 0.5 = 33.33333333 Grad. [ DRG ] [ [ 0.5 [ ] ] [ 2nd ] [ sin ] –1 ] Example 29 cosh1.5+2 = 4.
[ 2nd ] [ HYP ] [ cos ] 1.5 [ ] ][+]2[ 13 sinh –1 7 = 2.644120761 [ 2nd ] [ HYP ] [ 2nd ] [ sin 7[ ] –1 ] Example 30 If x = 5 and y = 30, what are r and 80.53767779 o [ 2nd ] [ R [ [ [ [ = P] ] 5 [ ALPHA ] [ ] [ 2nd ] [ R ? Ans : r = 30.41381265, P][ ] ] 5 [ ALPHA ] [ ] 14 If r = 25 and 20.72593931 ] 30 ] 30 = 56 o what are x and y? Ans : x = 13.
[ 2nd ] [ R [ 56 [ ] ] 25 [ ALPHA ] [ ] [ 2nd ] [ R [ 56 [ P][ P][ ] ][ ] 25 [ ALPHA ] [ ] ] ] Example 31 5 ! = 120 5 [ MATH ] [ ][ ] 15 Generate a random number between 0 and 1 [ MATH ] [ [ ][ ] ] E-46
16 Generate a random integer between 7 and 9 [ MATH ] [ [ 9[ ] ] 7 [ ALPHA ] [ ] ] 17 RND ( sin 45 Deg. ) = 0.71 ( FIX = 2 ) [ MATH ] [ ][ ] [ ] [ sin ] 45 [ 2nd ] [ FIX ] [ ][ ][ ] [ ][ ] 18 MAX ( sin 30 Deg. , sin 90 Deg. ) = MAX ( 0.5, 1 ) = 1 [ MATH ] [ MATH ] [ [ [ ] [ sin ] 30 ] [ ALPHA ] [ ] [ sin ] 90 ] 19 MIN ( sin 30 Deg., sin 90 Deg. ) = MIN ( 0.5, 1 ) = 0.
[ MATH ] [ MATH ] [ [ [ [ ] ] [ sin ] 30 ] [ ALPHA ] [ ] [ sin ] 90 ] 20 SUM (13, 15, 23 ) = 51 [ MATH ] [ MATH ] [ ] [ ] 13 [ ALPHA ] [ 15 [ ALPHA ] [ ] 23 [ ] ] 21 AVG (13, 15, 23 ) = 17 [ MATH ] [ MATH ] [ [ ] ] [ ] 13 [ ALPHA ] [ 15 [ ALPHA ] [ ] 23 [ ] ] 22 Frac (10 8 ) = Frac ( 1.25 ) = 0.
[ ] 10 [ ]8[ ] 23 INT (10 8 ) = INT ( 1.25 ) = 1 [ MATH ] [ MATH ] [ MATH ] [ ] [ ] 10 [ ]8[ ] 24 SGN ( log 0.01 ) = SGN ( – 2 ) = – 1 [ MATH ] [ MATH ] [ MATH ] [ ] [ [ ] [ log ] 0.01 ] 25 ABS ( log 0.01) = ABS ( – 2 ) = 2 [ MATH ] [ MATH ] [ MATH ] [ ][ ] [ [ ] [ log ] 0.
26 7 ! [ ( 7 – 4 ) ! ] = 840 7 [ MATH ] [ MATH ] [ MATH ] [ MATH ] ]4[ [ 27 7 ! ] [ ( 7 – 4 ) ! × 4 ] = 35 7 [ MATH ] [ MATH ] [ MATH ] ] [ MATH ] [ [ ]4[ ] Example 32 1.
4 [ 2nd ] [ [ ] ] 81 30 7 4 = 2401 7 [ 2nd ] [ ^ ] 4 [ ] Example 33 1 yd 2 = 9 ft 2 = 0.000000836 km 2 1 [ 2nd ] [ CONV ] [ 2nd ] [ CONV ] [ ] [ ] [ ] [ ][ ] Example 34 3 × G = 2.
3 [ × ] [ 2nd ] [ CONST ] [ ][ ] [ ][ ] Example 35 Apply the multi-statement function to the following two statements: ( E=15 ) 15 [ SAVE ] [ E ] [ ] [ ALPHA ] [ E ] [ × ] 13 [ ALPHA ] [ ]180 [ ] [ ALPHA ] [ E ] [ ] [ ] [ ] Example 36 Graph Y = e X E-52
[ Graph ] [ 2nd ] [ e x ] [ ] Example 37 (1) Range : X min = – 180, X max = 180, X scl = 90, Y min = – 1.25, Y max = 1.25, Y scl = 0.5, Graph Y = sin (2 x) [ Range ] [ ( – ) ] 180 [ ] 180 [ [ (–) ] 1.25 [ 0.5 ] 90 [ ] 1.
[G T] [G T] 31 (2) Zoom in and zoom out on Y = sin (2x) [ 2nd ] [ Zoom x f ] [ 2nd ] [ Zoom x f ] [ 2nd ] [ Zoom Org ] [ 2nd ] [ Zoom x 1 / f ] [ 2nd ] [ Zoom x 1 / f ] Example 38 Superimpose the graph of Y = – X + 2 over the graph of Y = X 2 –6X–8 E-54 3 +3X
[ Range ] [ (–) ] 8 [ ]8 [ ]2[ ] [ (–) ] 15 [ 15 [ ]5 ] ] [ Graph ] [ ALPHA ] [ [ X ] [ 2nd ] [ x 3 ] [ + ] 3 [ ALPHA ] [ X ] [ x 2 ] [ – ] 6 [ ALPHA ] [ X ] [ – ] 8 [ ] [ Graph ] [ (–) ] [ ALPHA ] [ X ] [+]2 [ ] Example 39 Superimpose the graph of Y = cos (X) over the graph of Y = sin ( x ) [ Graph ] [ sin ] [ ] [ Graph ] [ cos ] [ ALPHA ] [ X ] [ ] Example 40 Use Trace function to analyze the graph Y = cos ( x ) E-55
[ Graph ] [ cos ] [ ] [ Trace ] [ ][ ][ [ 2nd ] [ X ] Y] Example 41 Draw and scroll the graph for Y = cos ( x ) [ Graph ] [ cos ] [ [ ] [ ][ [ [ ] ] [ ] ] ] [ ] [ ] Example 42 Place points at ( 5 , 5 ), ( 5 , 10 ), ( 15 , 15 ) and ( 18, 15 ), and then use the Line function to connect the points.
[ Range ] 0 [ ] 35 [ ]5 [ ]0[ ] 23 [ ]5 ] [ 2nd ] [ PLOT ] 5 [ [ ALPHA ] [ ]5 [ ] [ 2nd ] [ X Y] [ 2nd ] [ X Y ] [ 2nd ] [ PLOT ] 5 [ ALPHA ] [ ] 10 [ ] [ 2nd ] [ LINE ] [ ] [ 2nd ] [ PLOT ] 15 [ ALPHA ] [ ] 15 [ ] [ 2nd ] [ LINE ] [ ] [ 2nd ] [ PLOT ] 18 [ ALPHA ] ] 15 [ ] [ ][ [ ][ ][ ][ ] [ ][ ][ ] [ 2nd ] [ LINE ] [ ] E-57
Example 43 Enter the data: X LSL = 2, X USL = 13, X 1 = 3, FREQ 1 = 2, X 2 = 5 , FREQ 2 = 9, X 3 = 12, FREQ 3 = 7, then find = 7.5, Sx = 3.745585637, Cax = 0 , and Cpx = 0.
[ 2nd ] [ STATVAR ] [ ] [ ] [ Graph ] [ ] ] [ [ 2nd ] [ STATVAR ] [ [ ][ ][ ] [ ] ] [ Graph ] [ ] E-59
[ 2nd ] [ STATVAR ] [ Graph ] [ ][ ] ] [ Example 44 Enter the data : X LSL = 2, X USL = 8, Y LSL = 3, Y USL = 9, X 1 = 3, Y 1 = 4, X = 5, Sx = 2, Cax = 2 = 5 , Y 2 = 7, X 3 = 7, Y 3 = 6, then find 0, Cay = 0.
[ 2nd ] [ STATVAR ] [ [ ] [ [ ][ ][ [ ] ][ ][ ][ ][ ] ] ] [ Graph ] Example 45 In the data in Example 44, change Y 1 = 4 to Y 2 = 8, then find Sx = 2.
[ 2nd ] [ STATVAR ] [ [ ] ] Example 46 Enter the data : a x = 2, X 1 = 3, FREQ 1 = 2, X 2 = 5 , FREQ 2 = 9, X 3 = 12, FREQ3 = 7, then find t = –1.510966203, P( t ) = 0.0654, Q( t ) = 0.4346, R ( t ) =0.
[ ] [ ] Example 47 Given the following data, use linear regression to estimate x ’ =? for y =573 and y ’= ? for x = 19 X 15 17 21 28 Y 451 475 525 678 [ MODE ] 1 [ ] [ ] [ ] [ DATA ] [ 17 [ 525 [ ] 15 [ ] 475 [ ] 28 [ ] 451 [ ] 21 [ ] 678 ] ] E-63
[ 2 nd ] [ STATVAR ] [ Graph ] [ 2nd ] [ STATVAR ] [ [ ][ ] [ ] ] 573 [ ] [ 2nd ] [ STATVAR ] [ [ ][ ][ ] [ ] 19 [ ] ] Example 48 Given the following data, use quadratic regression to estimate y ’ = ? for x = 58 and x ’ =? for y =143 X 57 61 67 Y 101 117 155 [ MODE ] 1 [ ] E-64
[ ][ ][ [ ] [ DATA ] [ ] 57 [ 61 [ ] 117 [ [ ]155 ] ] 101 [ ] 67 ] [ 2nd ] [ STATVAR ] [ Graph ] [ 2 nd ] [ STATVAR ] [ [ ][ ] [ [ ] 143 [ ] ] ] [ 2nd ] [ STATVAR ] [ [ ][ ][ ] ] E-65
[ ] 58 [ ] Example 49 31 10 = 1F16 = 11111 2 = 37 8 [ MODE ] 2 31 [ ] [ dhbo ] [ ] [ ] [ ] Example 50 4777 10 = 1001010101001 2 E-66
[ MODE ] 2 [ dhbo ] [ [ ] [ ] [ dhbo ] [ [ ] 4777 [ [ ] [ ] [ ] ] ][ ] ] Example 51 What is the negative of 3A [ MODE ] 2 [ dhbo ] [ [ [ 16 ? Ans : FFFFFFC6 ] ] [ NEG ] 3 [ /A ] ] Example 52 1234 10 + 1EF 16 24 8 = 2352 8 = 1258 E-67 10
[ MODE ] 2 [ dhbo ] [ [ ] [ dhbo ] [ [ ] 1234 [ + ] [ dhbo ] [ [ ][ ] ][ ] ] 1[ IE ] [ IF ] [ ] [ dhbo ] [ [ ] 24 [ ] [ dhbo ] [ ][ ] ][ ] ][ ][ ] Example 53 E-68
1010 2 AND ( A 16 OR 7 [ MODE ] 2 [ dhbo ] [ [ ] [ [ ][ [ ] [ dhbo ] [ ] [ ) = 1010 2 = 10 10 ] ][ ] ] 1010 [ AND ] [ ( ) ] [ dhbo ] [ [ [ 16 ][ ][ ][ ] ] [ /A ] [ OR ] [ dhbo ] ][ ] ]7[ [ dhbo ] [ ] ][ ] Example 54 Create a program to perform arithmetic calculation with complex numbers Z 1 = A + B i, Z 2 = C + D i • Sum : Z 1 + Z 2 = ( A + B ) + ( C + D ) i • Difference : Z 1 – Z 2 = ( A – B ) + ( C – D ) i • Product : Z 1 × Z 2 = E + F i = ( AC – BD ) + ( AD + BC ) i E-69
• Quotient : Z 1 Z 2 = E + F i = RUN When the message “1 : + ”, “ 2 : – ”, “ 3 : × ”, “ 4 : / ” appears on the display, you can input a value for “ O ” that corresponds to the type of operation you want to performed, as follows: 1 for Z 1 + Z 2 2 for Z 1 – Z 2 3 for Z 1 × Z 2 4 for Z 1 Z2 (1) E-70
[ ] ( 5 Seconds ) [ ]1 [ 5[ 14 ] 17 [ ] ][(–)]3[ [ ] ] (2) [ ] ( 5 Seconds ) [ ]2 E-71
[ 13 [ ] 10 [ ]6[ [ ] ] ] 17 (3) [ ] ( 5 Seconds ) [ ]3 [ ]2[ [(–)]5[ [ ] 17 [ ] ] 11 ] (4) E-72
[ ] ( 5 Seconds ) [ ]4 [ [ ]6[ ]5 ][(–)]3[ [ ] ]4 Example 55 Create a program to determine solutions to the quadratic equation A X 2 + B X + C = 0, D = B 2 – 4AC 1) D > 0 , , 2) D = 0 3) D < 0 , , E-73
RUN (1) 2 X – 7 X + 5 = 0 2 [ ] 2[ [ ][(–)]]7 ]5 [ ] (2) 25 X 2 – 70 X + 49 = 0 [ 25 [ 70[ X 1 = 2.5 , X 2 = 1 X = 1.
[ ] (3) X 2 + 2 X + 5 = 0 [ X1=–1+2i,X2=–1–2i ] 1[ ]2[ [ ]5 ] [ [ [ [ ] ] ] ] [ [ [ [ ] ] ] ] [ [ [ [ ] ] ] ] [ [ [ [ ] ] ] ] Example 56 Create a program to generate a common difference sequence ( A : First item, D : common difference, N : number ) Sum : S ( N ) = A+(A+D)+(A+2D)+(A+3D)+...
RUN When the message “ 1: A(N), 2 :S(N) ” appears on the display, you can input a “ P ” value to specify the type of operation to be performed: 1 for A(N) 2 for S(N) 32 (1) A = 3 , D = 2, N = 4 [ ] ( 5 Seconds ) 1[ 2[ [ A(N) = A (4) = 9 ]3[ ]4 ] ] E-76
(2) A = 3 , D = 2, N = 12 [ ] ( 5 Seconds ) 2[ 2[ [ S (N) = S (12) = 168 ]3[ ] 12 ] ] Example 57 Create a program to generate a common ratio sequence ( A : First item, R : common ratio, N : number ) Sum : S ( N ) = A + AR + AR 2 + AR3....
RUN When the message “ 1: A(N), 2 :S(N) ” appears on the display, you can input a “ P ” value to specify the type of operation to be performed: 1 for A(N) 2 for S(N) (1) A = 5 , R = 4, N = 7 [ 1[ 4[ A (N) = A (7) = 20480 ] ( 5 Seconds ) ]5[ ]7 ] E-78
[ ] S (N) = S (9) = 436905 (2) A = 5 , R = 4, N = 9 [ ] ( 5 Seconds ) 2[ 4[ [ ]5[ ]9 ] ] (3) A = 7 ,R = 1, N = 14 [ 2[ 1[ S (N) = S (14) = 98 ] ( 5 Seconds ) ]7[ ] 14 ] E-79
[ ] Example 58 Create a program to determine the solutions for linear equations of the form: RUN [ ] E-80
4 [ 30 [ [ ][(–)]1[ ]5[ ] 17 [ ] ] ]9 Example 59 Create three subroutines to store the following formulas and then use the GOSUB-PROG command to write a mainroutine to execute the subroutines.
RUN N = 1.5, I = 486, A = 2 VOLTAGE = 2 [ CHARGE = 4.5, POWER = 243, ] 1.
486 [ ]2 [ ] ( 5 Seconds ) Example 60 Create a program that graphs Y = – and Y = 2 X with the following range settings: X min = –3.4, X max = 3.
[G T] Example 61 Use a FOR loop to calculate 1 + 6 = ? , 1 + 5 = ? 1 + 4 = ?, 2 + 6 = ?, 2 + 5 = ? 2 + 4 = ? RUN [ ] E-84
Example 62 Set the program type to “BaseN” and evaluate ANS = 1010 2 AND ( Y OR 7 16 ) (1) If Y = /A [ 16 , Ans = 10 10 ] [ dhbo ] [ [ ]/A [ ] ][ ][ ] (2) If Y =11011 8 , Ans = 1010 2 EDIT E-85
[ ] [ ] [ dhbo ] [ [ ] ][ ] RUN [ ] [ dhbo ] [ ][ [ ] 11011 [ ] ] Example 63 Create a program to evaluate the following, and insert a display result command ( ) to check the content of a memory variable (A × B) B = log ( A + 90 ), C = 13 × A, D = 51 E-86
RUN A = 10 [ C = 130 , D = 2.