HP 9g hp 9g_user's manual_English_E_HDP1SG18ES1.pdf
HP 9g - Graphing Calculator Manual
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- HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 1
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 4 Contrast Adjustment 4 Display Features 5 Graph display 5 Calculation display 5 Chapter 2 : Before Starting a Calculation - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 2
Display Format 13 Parentheses Calculations 14 Percentage Calculations 14 Repeat Calculations 14 Answer Function 14 Chapter 4 : Common Math Calculations 15 Logarithm and Antilogarithm 15 Fraction Calculation 15 Converting Angular Units 15 Trigonometric and Inverse Trigonometric functions 16 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 3
Basic Arithmetic Operations for Bases 25 Logical Operation 25 Chapter 8 : Programming 25 Before Using the Program Area 26 Program Control Instructions 26 Clear screen command 26 Input and output commands 26 Conditional branching 27 Jump commands 27 Mainroutine and Subroutine 27 Increment - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 4
calculator is off. Reset operation If the calculator is on but you get unexpected results, press [ MODE ] or [ / CL ESC ]. If problems persist, press [ 2nd ] [ RESET ]. A message appears asking you to confirm that you want to reset the calculator. RESET : N Y Press [ ] to move - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 5
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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 6
SCIENG FIX HYP SCIentific or ENGineering display format Number of decimal places displayed is fixed 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 7
Label color White Yellow Green Blue Meaning Just press the key Press [ 2nd ] and then the key In Base-N mode, just press the key 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 [ - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 8
To delete a character, press [ ] or [ ] to move the cursor to that 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. - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 9
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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 10
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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 11
tan -1 x sinh x, cosh x tanh x sinh -1 x cosh -1 x tanh -1 x log x, ln x 10 x e x x x 2 x -1 X ! P ( x, y ) R (r,θ) DMS x ＜ 1 × 10 100 x ≦ 230.2585092 x ＜ 1 × 10 100 x ＜ 5 × 10 99 1 ≦ x ＜ 5 × 10 99 x ＜1 1 × 10 -99 ≦ x < 1 × 10 100 -1 × 10 100 ＜ x ＜ 100 -1 × 10 100 ＜ x ≦ 230.2585092 0 ≦ x ＜ 1 × - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 12
nPr, nCr STAT BaseN Error Conditions 0 ≦ r ≦ n, n < 10 100, n, r are integers. | x | < 1×10 100,| y | < 1×10 100 1 -VAR : n ≦ 30, 2 -VAR : n ≦ 30 FREQ. = n, 0 ≦ n < 10 100 : n is an integer in 1-VAR mode σx,σy, x, y, a, b, r : n≠0 Sx, Sy :n≠0,1 DEC : - 2147483648 ≦ x ≦ 2147483647 BIN : - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 13
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 = USL - x PU 3σ and C = x - LSL PL - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 14
• 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 15
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. - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 16
To change the angular unit setting to another setting, press [ DRG ] repeatedly until the angular unit you want is indicated on the display. The conversion procedure follows (also see Example 25): 1. Change the angle units to the units you want to convert to. 2. Enter the value of the unit to - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 17
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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 18
× 10 -19 C me Electron mass 9.109389754 × 10 -31 kg mp Proton mass 1.67262311 × 10 -27 kg h Planck's constant 6.62607554 × 24 J / T 5.050786617 × 10 -27J / T All physical constants in this manual are based on the 1986 CODATA recommended values of the fundamental physical constants. To insert - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 19
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. When execution reaches the end of a statement that is followed by the display result command - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 20
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 T ] to switch between graph display and text display and vice versa. To clear the graph, please press [ 2nd ] [ CLS ]. Zoom Function The zoom function - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 21
This function lets you move a pointer around a graph by pressing [ ] and [ ]. 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 22
7. Press or [ ] to scroll through the statistical variables until you reach the variable you are interested in (see table below). Variable Meaning n Number of x values or x-y pairs entered. or Mean of the x values or y values. Xmax or Ymax Maximum of the x values or y values. Xmin or Ymin - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 23
, Cpx or Cpy Potential capability precision of the x values or y values, , Cpkx or Cpky ppm 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 24
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 |. Regression Calculation There are six regression options on the REG menu: LIN - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 25
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 press [ ]. An indicator shows the base you selected: d, h, b , or o. (The default setting is d: decimal base). See Example 49. The allowable digits in each - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 26
storing programs (P0-P9 ). If an area has a program stored in it, its number is displayed as a subscript (as in P1). Program Control Instructions The calculator's programming language is similar to many programming languages, such as BASIC and C. You can access most of the programming commands from - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 27
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 (;). - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 28
⇒ 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 29
) and press [ ]. 4. Enter your program's commands. • You can enter the calculator's regular functions as commands. • To enter a program control instruction, press [ 2nd ] [ INST ] and make your selection. • To enter a space, press [ ALPHA ] [ SPC ]. 5. A semicolon (;) indicates the end of a command - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 30
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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 31
3. To erase all the programs, select ALL. 4. A message appears asking you to confirm that you want to delete the program(s). Press [ ] to move the cursor to Y and then press [ ]. 5. To exit DEL mode, select EXIT from the program menu. Program Examples See Examples 54 to 63. Example 1 Change 123 × - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 32
[ ] [ ] [ ] Example 3 Enter 14 0 × 2.3 and then correct it to 14 10 × 2.3 14 [ ] 0 [ × ] 2.3 [ ] (after 5 Seconds ) [ ]1[ ] Example 4 [ ( 3 × 5 ) + ( 56 7 ) - ( 74 - 8 × 7 ) ] = 5 3 [ × ] 5 [ M+ ] E-32 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 33
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- - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 34
[ 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 = - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 35
[ 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 36
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 [ ( - ) ] 3.5 [ + ] - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 37
12369 [ × ] 7532 [ × ] 74103 [ ] Example 11 6 7 = 0.857142857 6[ ]7[ ] [ 2nd ] [ FIX [ ] [ 2nd ] [ FIX ] 4 [ 2nd ] [ FIX ] [ • ] Example 12 1 6000 = 0.0001666... 1 [ ] 6000 [ ] E-37 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 38
[ 2nd ] [ SCI / ENG ] [ ] [ ] [ 2nd ] [ SCI / ENG ] [ ] [ ] [ 2nd ] [ SCI / ENG ] [ ] [ ] Example 13 0.0015 = 1.5 × 10 - 3 1.5 [ EXP ] [ (-) ] 3 [ ] Example 14 20 G byte + 0.15 K byte = 2.000000015 × 10 10 byte E-38 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 39
20 [ 2nd ] [ ENG SYM ] [ ] [ ] [ ] [ + ] 0.15 [ 2nd ] [ ENG SYM ] [ ] [ ] Example 15 ( 5 - 2 × 1.5 ) × 3 = 6 [ ( ) ] 5 [ - ] 2 [ × ] 1.5 [ ] [ × ]3[ ] Example 16 2 × { 7 + 6 × ( 5 + 4 ) } = 122 2[ × ][()]7[+]6[ × ] [ ( ) ] 5 [ + ] 4 [ ] Example 17 120 × 30 % = 36 120 [ × ] 30 [ 2nd ] - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 40
88 [ ] 55 [ 2nd ] [ % ] [ ] Example 18 3 × 3 × 3 × 3 = 81 3[ × ]3[ ] [ × ]3[ ] [ ] 8 Calculate 3[ × ]4[ 6 after calculating 3 × 4 = 12 ] [ ]6[ ] Example 19 123 + 456 = 579 789 - 579 = 210 123 [ + ] 456 [ ] E-40 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 41
789 [ - ] [ 2nd ] [ ANS ] [ ] Example 20 ln7 + log100 = 3.945910149 [ ln ] 7 log ] 100 [ ] 9 10 2 = 100 [ 2nd ] [ 10 x ] 2 [ ] 10 e -5 = 0.006737947 [ 2nd ] [ e x 5 [ ] Example 21 7 [ A b/c ] 2 [ A b/c ] 3 [ + ] 14 [ A b/c ] 5 [ A b/c ] 7 [ ] Example 22 E-41 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 42
4 [ A b/c ] 2 [ A b/c ] 4 [ ] [ 2nd ] [ A b/c [ ] d/e ] [ 2nd ] [A b/c d/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. [ DRG ] E-42 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 43
[ ] 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 I I = 2.752916667 2 [ 2nd ] [ DMS ] [ ] 45 [ 2nd ] [ DMS ] [ ] [ ] 10.5 [ 2nd ] [ DMS ] [ ][ ] E-43 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 44
[ ] [ ] 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 = 4.352409615 E-44 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 45
[ 2nd ] [ HYP ] [ cos ] 1.5 [ ][+]2[ ] 13 sinh -1 7 = 2.644120761 [ 2nd ] [ HYP ] [ 2nd ] [ sin -1 ] 7 [ ] Example 30 If x = 5 and y = 30, what are r and ? Ans : r = 30.41381265, = 80.53767779 o [ 2nd ] [ R P ] [ ] 5 [ ALPHA ] [ ] 30 [ ] [ 2nd ] [ R P ] [ ] [ ] 5 [ ALPHA ] [ ] 30 [ ] - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 46
[ 2nd ] [ R P ] [ ] [ ] 25 [ ALPHA ] [ ] 56 [ ] [ 2nd ] [ R P ] [ ] [ ] [ ] 25 [ ALPHA ] [ ] 56 [ ] Example 31 5 ! = 120 5 [ MATH ] [ ] [ ] 15 Generate a random number between 0 and 1 [ MATH ] [ ] [ ] [ ] E-46 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 47
16 Generate a random integer between 7 and 9 [ MATH ] [ ] [ ] 7 [ ALPHA ] [ ] 9 [ ] 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 48
[ 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 49
[ ] 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 ] 0.01 [ ] - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 50
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 1.25 [ 2nd ] [ X -1 ] [ ] 28 2 [ X 2 4 [ + ] 21 [ ] [ + ] [ 2nd ] [ ] 27 [ ] 29 E-50 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 51
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 = 2.00177955 × 10 -10 E-51 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 52
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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 53
[ 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 [ ] ] 1.25 [ ] [ ] [ 2nd ] [ Factor ] 2 [ ]2 [ ] [ Graph ] [ sin ] 2 [ ALPHA ] [ X ] [ - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 54
[ 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 3 + 3 X 2 - 6 X - 8 E-54 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 55
[ 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 ] - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 56
[ 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. E-56 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 57
[ 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 [ - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 58
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 = 0.503655401 [ MODE ] 1 [ ] [ DATA ] [ ] [ ] 2 [ ] 13 [ ] [ DATA ] [ ] 3 [ ]2 [ ] 5 [ ] 9 [ ] 12 [ ]7 E-58 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 59
[ 2nd ] [ STATVAR ] [ ] [ ] [ Graph ] [ ] [ ] [ 2nd ] [ STATVAR [ ] [ Graph ] [ ] E-59 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 60
[ 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 2 = 5 , Y 2 = 7, X 3 = 7, Y 3 = 6, then find = 5, Sx = 2, Cax = 0, Cay = 0.111111111 [ MODE ] 1 [ ] [ ] [ DATA ] [ ] [ ]2[ ]8[ ]3 [ ]9[ ] [ DATA ] [ ]3[ - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 61
[ 2nd ] [ STATVAR ] [ ] [ ] [ Graph ] Example 45 In the data in Example 44, change Y 1 = 4 to Y 1 = 9 and X 2 = 5 to X 2 = 8, then find Sx = 2.645751311 [ DATA ] [ ][ ]9 [ ]8 E-61 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 62
[ 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 ) =0.9346 [ MODE ] 1 [ ] [ DATA ] [ ] [ ] [ ] 2 [ ] [ DATA ] [ [ ]5[ [ ]7 ]3[ ]2 ] 9 [ ] 12 [ - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 63
[ ] [ ] 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 ] [ ] 15 [ ] 451 [ ] 17 [ ] 475 [ ] 21 [ ] 525 [ ] 28 [ ] 678 E-63 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 64
[ 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 65
[ ][ ][ ] [ ] [ DATA ] [ ] 57 [ ] 101 [ ] 61 [ ] 117 [ ] 67 [ ]155 [ 2nd ] [ STATVAR ] [ Graph ] [ 2 nd ] [ STATVAR [ ] 143 [ ] [ ] [ 2nd ] [ STATVAR E-65 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 66
[ ] 58 [ ] Example 49 31 10 = 1F16 = 11111 2 = 37 8 [ MODE ] 2 31 [ ] [ dhbo ] [ ] [ ] [ ] Example 50 4777 10 = 1001010101001 2 E-66 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 67
[ MODE ] 2 [ dhbo ] [ ] [ ] [ ] [ dhbo ] [ ] [ ] [ ] 4777 [ ] [ ] [ ] [ ] Example 51 What is the negative of 3A 16? Ans : FFFFFFC6 [ MODE ] 2 [ dhbo ] [ ] [ ] [ NEG ] 3 [ /A ] [ ] Example 52 1234 10 + 1EF 16 24 8 = 2352 8 = 1258 10 E-67 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 68
[ MODE ] 2 [ dhbo ] [ ] [ ] [ dhbo ] [ ] [ ] [ ] 1234 [ + ] [ dhbo [ ] 1[ IE ] [ IF ] [ ] [ dhbo ] [ ] [ ] [ ] 24 [ ] [ dhbo Example 53 E-68 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 69
1010 2 AND ( A 16 OR 7 16 ) = 1010 2 = 10 10 [ MODE ] 2 [ dhbo ] [ ] [ ] [ ] [ dhbo ] [ ] [ ] [ ][ ] [ ] 1010 [ AND ] [ ( ) ] [ dhbo [ ] [ /A ] [ OR ] [ dhbo ] [ ][ ][ ] [ ] 7 [ ] [ dhbo ] [ ] [ ] Example 54 Create a program to perform arithmetic calculation with complex numbers Z 1 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 70
• 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 3 for Z 1 × Z 2 2 for Z 1 - Z 2 4 for Z 1 Z 2 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 71
[ ] ( 5 Seconds ) [ ] 1 [ ] 17 [ ] 5 [ ] [ ( - ) ] 3 [ ] 14 [ ] (2) [ ] ( 5 Seconds ) [ ] 2 E-71 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 72
[ ] 10 [ 13 [ ] 6 [ ] ] 17 [ ] (3) [ ] ( 5 Seconds ) [ ] 3 [ ] 2 [ ] [ ( - ) ] 5 [ ] 11 [ ] 17 [ ] (4) E-72 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 73
[ ] ( 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 74
(1) 2 X 2 - 7 X + 5 = 0 [ ] RUN X 1 = 2.5 , X 2 = 1 2 [ 7 [ ] 5 [ ] (2) 25 X 2 - 70 X + 49 = 0 [ ] X = 1.4 25 [ ] [ ( - ) ] 70[ ] 49 E-74 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 75
[ ] (3) X 2 + 2 X + 5 = 0 [ ] X 1 = - 1 + 2 i , X 2 = - 1 - 2 i 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)+... = Nth item : A ( N ) = A + ( N - 1 ) D - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 76
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 A(N) = A (4) = 9 [ ] ( 5 Seconds ) 1 [ ] 3 [ ] 2 [ ] 4 [ ] E-76 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 77
(2) A = 3 , D = 2, N = 12 [ ] ( 5 Seconds ) S (N) = S (12) = 168 2 [ ] 3 [ ] 2 [ ] 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.... 1) R 1 2) R = 1 A ( N ) = AR ( N - 1 ) Nth - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 78
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 A (N) = A (7) = 20480 [ ] ( 5 Seconds ) 1 [ ] 5 [ ] 4 [ ] 7 E-78 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 79
[ ] (2) A = 5 , R = 4, N = 9 S (N) = S (9) = 436905 [ ] ( 5 Seconds ) 2 [ ] 5 [ ] 4 [ ] 9 [ ] (3) A = 7 ,R = 1, N = 14 S (N) = S (14) = 98 [ ] ( 5 Seconds ) 2 [ ] 7 [ ] 1 [ ] 14 E-79 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 80
[ ] Example 58 Create a program to determine the solutions for linear equations of the form: [ ] RUN E-80 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 81
4 [ ] [ ( - ) ] 1 [ ] 30 [ ] 5 [ ] 9 [ ] 17 [ ] 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. Subroutine 1 : CHARGE = N × 3 Subroutine 2 : POWER = I A Subroutine 3 : VOLTAGE = I ( - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 82
RUN N = 1.5, I = 486, A = 2 VOLTAGE = 2 CHARGE = 4.5, POWER = 243, [ ] 1.5 [ ] ( 5 Seconds ) E-82 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 83
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 = 3.4, X scl = 1, Y min = -3, Y max = 3, Y scl = 1 [ ] RUN E-83 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 84
[ 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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 85
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 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 86
[ ] [ ] [ dhbo ] [ ] [ ] [ ] [ ] [ dhbo ] [ ] [ ] [ ] 11011 [ ] RUN Example 63 Create a program to evaluate the following, and insert a display result command ( ) to check the content of a memory variable B = log ( A + 90 ), C = 13 × A, D = 51 ( A × B ) E-86 - HP 9g | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 87
A = 10 [ ] RUN C = 130 , D = 2.55 10 [ ] [ 2nd ] [ RCL ] [ ] [ ] [ / CL ESC ] [ ] E-87
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E-1
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
.............................................................................
4
Con
t
rast Adjustment
..........................................................
4
Display Features
................................................................
5
Graph display
...............................................................................
5
Calculation display
........................................................................
5
Chapter 2 : Before Starting a Calculation
......................
6
Changing Modes
...............................................................
6
Selecting an Item from a Menu
...........................................
6
Key Labels
.........................................................................
6
Using the 2nd and ALPHA keys
..........................................
7
Cursor
..............................................................................
7
Inserting and Deleting Characters
.......................................
7
Recalling Previous Inputs and Results
..................................
8
Memory
............................................................................
8
Running memory
...........................................................................
8
Standard memory variables
..........................................................
8
Storing an equation
......................................................................
8
Array Variables
.............................................................................
8
Order of Operations
..........................................................
9
Accuracy and Capacity
....................................................
10
Error Conditions
..............................................................
12
Chapter 3 : Basic Calculations
....................................
13
Arithmetic Calculation
......................................................
13