HP 113397 hp 9g_user's manual_English_E_HDP1SG18ES1.pdf
HP 113397 - 9G Scientific Calculator Manual
UPC - 808736452892
View all HP 113397 manuals
Add to My Manuals
Save this manual to your list of manuals |
HP 113397 manual content summary:
- HP 113397 | 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 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 2
19 Chapter 5 : Graphs 19 Built-in Function Graphs 19 User-generated Graphs 19 Graph ↔ Text Display and Clearing a Graph 20 Zoom Function 20 Superimposing Graphs 20 Trace Function 20 Scrolling Graphs 21 Plot and Line Function 21 Chapter 6 : Statistical Calculations 21 Single-Variable and - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 3
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 25 Before Using the Program Area 26 Program Control Instructions 26 Clear screen command 26 - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 4
/ 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 the cursor to Y and then press [ ]. The calculator is reset. All variables, programs, pending operations, statistical - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 5
2-digit positive or negative exponent. Results that exceed this limit are displayed in scientific notation. Indicators The following indicators appear on the display to indicate the status of the calculator. Indicator Meaning M - 2nd X = Y = STAT PROG Values are stored in running memory Result is - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 6
SCIentific or ENGineering display format Number of decimal places displayed is fixed Hyperbolic trig function will be calculated 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 - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 7
-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 again to remove the 2nd indicator Pressing [ ALPHA ] [ 2nd ] locks the calculator in 2nd function mode. This allows consecutive input of 2nd function keys. To - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 8
twice. See Example 4. Standard memory variables The calculator has 26 standard memory variables-A, B, C, D, ..., Z-which you can use to assign a value to. See Example 5. storage by converting program steps to memory variables. You can convert 12 program steps to one memory. A maximum of 33 E-8 - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 9
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. Functions inside parentheses - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 10
. 8. nPr, nCr 9. × , 10. +, - 11. Relational operators 12. AND, NAND (BaseN calculations only) 13. OR, XOR, XNOR (BaseN calculations only) 14. Conversion (A b/c d/e, F D, DMS) When functions with the same priority are used in series, execution is performed from right to left. For example - HP 113397 | 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 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 12
(for negative) 0≦x≦17777777777 (for zero or positive) HEX : 80000000≦x≦FFFFFFFF (for negative) 0≦x≦7FFFFFFF (for zero or positive) When an illegal calculation is attempted or a program you enter causes an error, an error message briefly appears and then the cursor moves to the location of the error - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 13
the steps remaining in the program. 2. Attempt to use a memory when no memory has been expanded. DUPLICATE The label name is already in use. LABEL Press [ / CL ESC ] to clear an error message. Chapter 3 : Basic Calculations Arithmetic Calculation • For mixed arithmetic operations - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 14
floating point), SCI (for scientific), and ENG (for engineering). Press [ ] or [ ] until the desired format is underlined, and then press [ ]. See Example 12. • You can enter a number in mantissa and exponent format using the [ EXP ] key. See Example 13. • This calculator also provides 11 symbols - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 15
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. Fraction Calculation Fractions are displayed as follows: 5 ┘12 = 56 U 5 ┘12 = • To enter a mixed number, enter the integer part - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 16
sure that the appropriate angular unit is set. Hyperbolic and Inverse Hyperbolic functions The [ 2nd ] [ HYP ] keys are used to initiate hyperbolic and inverse hyperbolic calculations using sinh, cosh, tanh, sinh-1, cosh-1 and tanh-1. See Example 29. Note: Before undertaking a hyperbolic or inverse - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 17
0 is displayed; if positive, 1 is displayed. ABS Display the absolute value of a given number. nPr Calculate the number of possible permutations of n items taken r at a time. nCr Calculate the number of possible combinations of n items taken r at a time. Defm Memory expansion. Other Functions - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 18
convert the number to the highlighted unit. Physics Constants You can use the following physics constants in your calculations: Symbol 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 - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 19
number of individual statements for sequential execution. You can use multi-statements in manual calculations and in the program calculations in functions (see above), you must set the display range when creating a user generated graph. Press the [ Range ] key to access the range parameters for each - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 20
2nd ] [ Zoom x 1/f ] to specify the factor for reducing the graph. To return the graph to its original size, press [ 2nd ] [ Zoom Org ]. See Example 37. Superimposing Graphs • A graph can be superimposed over one or more graphs. This makes it easy to determine intersection points and solutions that - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 21
The plot function is used to mark a point on the screen of a graph display. The point can be moved left, right, up, or down using the cursor keys. The [ 2nd ] [ LINE ]. See Example 42. Chapter 6 : Statistical Calculations The statistics menu has four options: 1-VAR (for analyzing data in a single - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 22
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 values. 8. To draw 1-VAR statistical graphs, press [ Graph ] on the STATVAR menu. There are three types of graph in 1-VAR mode: N-DIST (Normal - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 23
= Min (CPUX, CPLX) = Cpx(1-Cax) Cpky = Min (CPUY, CPLY) = Cpy(1-Cay) Parts per million, Defection Per Million Opportunities. Note: When calculating process capability in 2-VAR mode, the x n and y n values are independent of each other. Correcting Statistical Data See Example 45. 1. Press [ DATA - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 24
distribution that is greater than t. Q(t) = | 0.5- t |. Regression Calculation There are six regression options on the REG menu: LIN Linear Regression y value given a, b, and x values. 9. To draw the regression graph, press [ Graph ] on the STATVAR menu. To return to the STATVAR menu, press - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 25
(d, h, b, o) to the number (as in h3). Press [ ] to use the block function, which displays a Programming The options on the program menu are: NEW (for creating a new program), RUN (for executing a program), EDIT (for editing a program), DEL (for deleting a program), TRACE (for tracing a program - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 26
or conversions, choose BaseN; otherwise choose MAIN. Program Area: There are 10 program areas for 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 - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 27
mainroutine, and an area jumped to is a subroutine. To cause a jump to a subroutine, enter PROG n where n is the number of the destination program area. Note: The GOTO n command does not allow jumps between program areas. A GOTO n command only jumps to the corresponding label (Lbl) within the same - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 28
on to the next block of code. Sleep command SLEEP ( time ) ⇒ A SLEEP command suspends program execution for a specified time (up to a maximum of 105 seconds). This is useful for displaying intermediate results before resuming execution. Swap command SWAP ( memory variable A, memory variable B ) E-28 - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 29
to run in and press [ ]. 3. Select one of the ten program areas (P0123456789) 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 - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 30
step-by-step and a message alerts you to any errors. Using the Graph Function in Programs Using the graph function within programs enables you to graphically illustrate long or complex equations and to overwrite graphs repeatedly. All graph commands (except trace and zoom) can be included in - HP 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 31
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 × 45 to 123 × 475 123 [ × ] 45 [ ] DEL ] [ 2nd ] [ ] [ ][ ]7[ ] Example 2 After executing 1 + 2, 3 + 4, 5 + 6, recall - HP 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 53
[ 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 ] [ ] E-53 - HP 113397 | 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 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 55
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 - HP 113397 | 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 113397 | 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 113397 | 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 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 59
[ 2nd ] [ STATVAR ] [ ] [ ] [ Graph ] [ ] [ ] [ 2nd ] [ STATVAR [ ] [ Graph ] [ ] E-59 - HP 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 69
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 - HP 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 E-75 - HP 113397 | 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 113397 | hp 9g_user's manual_English_E_HDP1SG18ES1.pdf - Page 77
= 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 item - HP 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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 113397 | 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
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