Users guide
Edition3 Part Number F2223AA-90001
 Printing History
USA
Edition December June
 Contents
 Using variables in equations
10-1
10-6
 11-1
11-4
11-8
11-9
 13-24
Program constants 13-24 Physical constants 13-25
Introduction 14-1 Storing and recalling variables 14-2
14-4
 18-7
18-9
18-30
19-1
 Service Regulatory information
 Preface
Manual conventions
Hewlett Packard’s Calculators web site can be found at
Function, Polar, Parametric
Page
 On/off, cancel operations
Getting started
Home
 To adjust
Display
Parts of the display
Contrast
 Keyboard
Menu keys
Infrared or cable
 Aplet control keys
Aplet library on
Displays the Views menu. See
Aplet views on
 Entry/Edit keys
Button performs
 Shifted keystrokes
 Helpwith
Math keys
 Commands
Menus
Program
Inactive keys
 Reset input form values
Input forms
 Mode settings
You use the Modes input form to set the modes for Home
 Setting a mode
 Aplets E-lessons
Press to return to Home
 Example x = cost and y = sint
Polar
Sequence Sequence functions U in terms of n, or
Another sequence, such as Un 1
 Quad Explorer aplet
 Transformations reflected in the equation
 Symbolic view Plot view
Press to display the aplet’s Symbolic view
Aplet library
Aplet views
 Select Plot-Table
Select Plot-Detail
Select Overlay Plot
 Aplet view configuration
Plot Setup Numeric Setup Symbolic Setup
Sketch view
 Where to start
To save aplet configuration
Mathematical calculations
Entering expressions
 Long results Negative numbers Scientific notation powers
Using
Explicit and implicit multiplication
23 3 EEX
 Parentheses
Entering Calculates Sin 45 + π
 Input Output Last input Edit line Last output
 Getting started
 Storing a value in a variable
 Using fractions
Accessing the display history Clearing the display history
Setting Fraction mode
 Setting fraction precision
 Fraction calculations
Select
Fraction
 Converting decimals to fractions
Enter the calculation Evaluate the calculation
Fraction as
 Complex numbers
This example, the fraction precision is set to
 Catalogs and editors
 About the Symbolic view
Defining an expression Symbolic view
Aplets and their views
Aplet views
 Independent variable in the expressions is T
 Evaluating expressions
Aplets
Select Function
 Home
 Setting up the plot Plot view setup
About the Plot view
 Plot view settings
ΘRNG
ΘSTEP
 Reset plot settings
Exploring the graph
 Trace a graph
To move between relations
 Zoom within a graph
To jump directly to a value To turn trace on/off
Zoom options
 Square
Set
Factors
Auto Scale
 Un-zoom
Now un-zoom
 To box zoom
 Other views for scaling and splitting the graph
Views menu options
 Unit. Resets default values for
Split the screen
Making each pixel=1 unit. Not
Pixel=π/24 radian, 7.58, or
 Overlay plots
Decimal scaling
Integer scaling
Trigonometric
 Setting up the table Numeric view setup
About the numeric view
 Numeric view settings
Exploring the table of numbers
NUM view menu keys Zoom within a table
 Integer Numstart and Numstep
 Building your own table of numbers
Build a table
Clear data
Numtype Build Your Own
 Build Your Own menu keys
Example plotting a circle
 Reset the graph setup to the default settings
Function aplet, specify the functions
Function
Display the functions in numeric form
Page
 Function aplet
About the Function aplet
Getting started with the Function aplet
Open the Function aplet
 Define the expressions Set up the plot
Plot the functions
Specify a grid for the graph
Plot the functions
 Change the scale Trace a graph
Select Auto
Scale
Times
 Analyse graph with FCN functions
Select Root
 Select Slope
Select Signed area
 To find the extremum of the quadratic
Select Extremum
 Display the numeric view
Explore the table
Display the table of values
 Symbolic definition A column
Display the symbolic definition for the F1 column
Symbolic definition F1 is displayed at Bottom of the screen
To display
 Function aplet interactive analysis
Select Plot FCN
Or to choose a variable
 FCN functions
Root
Extremum
Slope
 Symbolic view. Displays
Shading area
Intersection
Cursor. You need to have at
 Plotting a piecewise-defined function
 Parametric aplet
About the Parametric aplet
Getting started with the Parametric aplet
Define the expressions
 Set up the plot Plot the expression
Set angle measure
Set the angle measure to degrees
Select Degrees
 Overlay plot Display the numbers
Plot a triangle graph over the existing circle graph
120
Page
 Polar aplet
Getting started with the Polar aplet
Open the Polar aplet
Select Polar
 Explore the graph Display the numbers
Display the Plot view menu key labels
 Sequence aplet
About the Sequence aplet
Getting started with the Sequence aplet
 Define the expression Specify plot settings
Open the Sequence aplet
Sequence
Menu keys to assist in the entry of equations
 Plot Setup, set the Seqplot option to Cobweb
Plot the sequence
Select Cobweb
Display the . Display the table of values for this example
Page
 Solve aplet
About the Solve aplet
 Getting started with the Solve aplet
Open the Solve aplet
Define the equation Enter known variables
Select Solve
 Solve the unknown variable Plot the equation
Modes is set to Comma, use instead
 Plot the equation for variable a
Solve aplet’s NUM view keys are
Copies the highlighted value to
Displays other pages of variables, if
 Use an initial guess
 Interpreting results
 Plotting to find guesses
Consider the equation of motion for an accelerating body
 To highlight T
Plot the graph
 Press until the cursor is at the intersection
 Using variables in equations
 Linear Solver aplet
Open the Linear Sequence aplet
Select Linear
Solver
 Solver was able to find solutions for x, y, and z as
Hence we need the three-equation input form
 Linear Solver aplet
Page
 Triangle Solve aplet
About the Triangle Solver aplet
 Open the Triangle Solver aplet
Triangle Solver
 Errors
 Not enough data
Addition, you cannot specify only angles and no lengths
 Statistics aplet
About the Statistics aplet
Getting started with the Statistics aplet
 Enter data
Select Statistics
Enter the data into the columns
To move to the next column
 Select a fit in the Symbolic setup view
Choose fit and data columns Explore statistics
Value is
 Setup plot Plot the graph Draw the regression curve
Display the equation for best linear fit
To move to the FIT1 field
Slope m is 425.875. The y-intercept b is
 Predict values
To highlight
Stat-Two
 Entering and editing statistical data
Statistics aplet’s Numeric view keys are
 Statistics
 Expression in standard Mathematical form. Press When Done
Copies the column variable or
Variable expression to the edit line
Expression
 Clear is used
Data sets will need to be selected
Again before re-use
 Save data Edit a data set
Plot a histogram of the data
 Delete data Insert data
Sort data values
 Angle Setting
Defining a regression model
To choose the fit
Fit models
 To define your own fit
 Computed statistics
7,8,15,16,17
 Plotting
Two-variable
Columns for a linear fit only
 Plot types
Histogram Box and Whisker Plot
To plot statistical data
 Fitting a curve to 2VAR data
Scatter Plot
Correlation coefficient
 Setting up the plot Plot setup view
Relative Error
Plotting mark 2VAR Connected points 2VAR
 Trouble-shooting a plot
Statistics aplet’s Plot view keys
Erases the plot
 Calculating predicted values
Find predicted values
According to the current regression
Model
 Statistics aplet 10-21
Page
 Inference aplet
About the Inference aplet
Getting started with the Inference aplet
Open the Inference aplet
 Table below summarizes the options available Symbolic view
Inference aplet’s Symb view keys
 Setup-NUM
Select the inferential method Enter data
Select Hypoth Test
Test 1 μ
 Are explained in the feature of this aplet
Importing sample statistics from the Statistics aplet
 If the Decimal Mark setting in the Modes input form
Statistics aplet opens in the Numeric view
C1 column, enter the random numbers
Produced by the calculator 529 295 952 259 925 592
 Set up the interval calculation
Open Inference aplet
Inference
Select Conf Interval
 Display Numeric view Display Plot view
Specify a 90% Confidence interval in the C field
To move to the C field
 Hypothesis tests
One-Sample Z-Test
Menu name
Inputs
 Two-Sample Z-Test
Results
 One-Proportion Z-Test
Population 2 standard
Test 1π
Measures the strength of the evidence for a selected
 Two-Proportion Z-Test
 One-Sample T-Test
 Sample standard deviation
With the α level that you
 Two-Sample T-Test
Pooled?
 Confidence intervals
One-Sample Z-Interval
 Two-Sample Z-Interval
 One-Proportion Z-Interval
Two-Proportion Z-Interval
 One-Sample T-Interval
 Two-Sample T-Interval
Pooled
 Critical T Critical value for T
 Using the Finance Solver
Background
 3 4
 Compounding period -- which is
 Performing TVM calculations
PMT
 Example 1 Loan calculations
 Example 2 Mortgage with balloon payment
 Calculating Amortizations
To calculate amortizations
Example 3 Amortization for home mortgage
To continue amortizing the loan
 Example 4 Amortization for home mortgage
 Using mathematical functions
Math functions
Math menu
Name. Note You do not need to press first
 Math functions by category
Function categories
Syntax
Functions common to keyboard and menus
 Keyboard functions
Value1+ value2 , etc
Evalue
E5 returns
 Returns
LOG100 returns
 ABS1,2 returns
 Calculus functions
Nthroot 8 returns
∂ s1s1 2+3*s1 returns 2*s1+3
S1,2*X+3,X
 Complex number functions
Taylor
ARG
Conj
 Constants
Conversions
Maxreal
Minreal
 Hyperbolic trigonometry
 List functions
Loop functions
 Matrix functions
Polynomial functions
Polycoef
Polyeval
 Probability functions
Polyroot
Comb
Perm
 Real-number functions
 DEG→RAD
Floor
Fnroot
Frac
 INT
Mant
MAX
MIN
 Total
RAD→DEG
Round
Sign
 Symbolic functions
Two-variable statistics
Xpon
Isolate
 Test functions
Quad
Quote
QUADX-12-7,X returns
 Trigonometry functions
Ifte
Not
XOR
 Symbolic calculations
 Finding derivatives
To find derivatives in Home
 To find derivatives in the Function aplet’s Symbolic view
Evaluate the function Show the result
Select F2X and evaluate it
 To find the indefinite integral using formal variables
You could also just define
For example, to find the indefinite integral
 Program constants and physical constants
Program constants
 Physical constants
 13-26
 Variables and memory management
Introduction
 Storing and recalling variables
 To use variables
Calculations
To clear a variable
 Vars menu
Open the Vars menu
Press
 Add the contents of two list variables, and to store
Names or values of variables into programs
Example
Result in another list variable
 14-6
 That you can configure using
To store into a graphics variable on
17-5 for more information on
 To access an aplet
X0, Y0 to X9, Y9 Symbolic view. See
Variable
Aplet variables on page R-7
 Memory Manager
Line, press and press
Details of variables within the category
To delete variables in a category
Page
 Matrices
Vectors
Matrices
Matrix Variables
 Creating and storing matrices
Matrix Catalog keys
POLYROOT1,0,-1,0 M1
 To create a matrix in the Matrix Catalog
 Working with matrices
To transmit a matrix
 Deletes the highlighted cells, row
Or column you are prompted to
Make a choice
Moves to the first row, last row, first
 Matrix arithmetic
To store one element
Create the second matrix
 Matrices 15-7
 Solving systems of linear equations
Open the Matrix catalog and create a vector
 Select Real matrix
 Matrix functions and commands
About commands
Argument conventions
About functions
 Cond
Cross
DET
DOT
 Makemat
Rank
Rownorm
Rref
 Examples
 Transposing a Matrix Reduced-Row Echelon Form
 Matrices 15-15
Page
 Lists
You can create, edit, delete, send, and receive named
 List catalog keys
 Create a list
List edit keys
 Displaying and editing lists
To display a list
To display one
Element
 A list
To insert an element 1. Open the List catalog
Press , and press
148 L12
 List functions
Deleting lists
Transmitting lists
To delete a list
 2,3 returns 5,10,15
CONCATlist1,list2
CONCAT1,2,3,4 returns 1,2,3,4
ΔLISTlist1
 23 27 Calculates the product of all elements in list
ΠLISTlist
ΠLIST2,3,4 returns
 Finding statistical values for list elements
 16-10
 Aplet note view
To write a note in Note view
Your work is automatically saved. Press any view key
Or to exit the Notes view
 Contents of variables
Commands
Space key for text entry
Alpha-lock for letter entry
 Aplet sketch view
Sketch keys
To draw a line
 To draw a box
Draw keys
 Press to continue drawing, or press
 Mynote
 Opens the selected note for
Begins a new note, and asks
For a name
Another HP 39gs or PC
 Press instead
 Contents of a Program Structured Programming
Programming
 Program catalog
Open Program Catalog
Be simple-or it can be divided further into other
Programs that perform smaller tasks
 Program catalog keys
 Creating and editing programs
Create a new program
Press Progrm to open the Program catalog
 On the left, use or to highlight a command
Press to paste the command into the program editor
Edit a program 1. Press Progrm to
 Editing keys
 Using programs
Run a program Debug a program Stop a program
 Transmit a program
 Customizing an aplet
 Aplet naming convention
Example
 Configuring the Setviews menu option programs
Save the aplet
 Setviews ’’’’ ’’’’18
’’My Entry1’’’’EXP.ME1’’1
’’My Entry2’’’’EXP.ME2’’3
’’ ’’’’EXP.SV’’0
 Programming commands
’’’’’’EXP.ANG’’0
’’Start’’’’EXP.S’’7
 Aplet commands
Check
Select
Setviews
 Associating programs with your aplet
Auto-run programs
 ProgramName
ViewNumber
Including standard menu options
 Branch commands
Uncheck
IF...THEN...END
Uncheck n
 IF... THEN... Else
END CASE...END Iferr Then ELSE…
END
If A==1
 Drawing commands
RUN
Stop
 BOX
Erase
Freeze
Line
 Graphic commands
 Grobxor
Makegrob
PLOT→
→PLOT
 Loop commands
 Matrix commands
 Randmat
Redim
Scale
Scaleadd
 Print commands
Prompt commands
 Clrvar
Disp
Dispxy
Disp 3A is 2+2
 Disptime
51.52HELLO
Editmat matrixname
 Getkey
Input
Msgbox
 Stat-One and Stat-Two commands
Stat-One commands
Stat-Two commands
 Storing and retrieving variables in programs
 Plot-view variables
 Grid
Hmin/Hmax
Indep
InvCross
 Isect
Labels
Recenter
Root
 S1mark-S5mark
SeqPlot
Simult
Slope
 Umin/Umax
Ustep
Tmin / Tmax
Tracing
 Tstep
Xcross
Ycross
Ytick
 Ymin / Ymax
Yzoom
 Symbolic-view variables
 S1fit...S5fit
Cubic S2fit
 Numeric-view variables
C1...C9, C0
Digits
Format
 NumCol
NumFont
NumIndep
NumRow
 NumStep
NumType
NumZoom
StatMode
 Sketch variables
PageNum
Following aplet variable is available in Note view
Graphicname
 Extending aplets
Creating new aplets based on existing aplets
 Open the Solve aplet and save it under the new name
Solve
Degrees
 Resetting an aplet
Using a customized aplet
Choose the sine formula in E1
 Downloading e-lessons from the web
Sending and receiving aplets
Hewlett-Packard’s Calculators web site can be found at
 To transmit an aplet
 Sorting items in the aplet library menu list
To sort the aplet list To delete an aplet
 Reference information
Glossary
Expression line#
Cross matrix1,matrix2
 Editor and catalog Matrix Two-dimensional array of values
Record using the Program editor
Vector One-dimensional array of values
Set to Comma and enclosed
 Resetting the HP 39gs
To erase all memory and reset defaults
To reset using the keyboard
 Operating details
If the calculator does not turn on
Batteries
 To install the main batteries To install the backup battery
 Variables
Home variables
 Function aplet variables
Area Root Extremum Slope Isect
Angle
 Parametric aplet variables
Parametric aplet variables are Category Available name Plot
 Polar aplet variables
Polar aplet variables are Category Available names Plot
 Sequence aplet variables
Sequence aplet variables are Category Available name Plot
 Solve aplet variables
Solve aplet variables are Category Available name Plot
Digits NumCol Format NumRow
 Statistics aplet variables
 Math menu categories
Math functions
Math functions are Category Available name Calculus
Hyperb
 Category Available name Matrix
Polynom
 Degrees Grads Radians
Standard Sci Fixed Eng Fraction
Cobweb Stairstep
Stat1Var Stat2Var
 Compt w... Compton
Wavelength, λc
 Program commands
Program commands are Category Command Aplet
Branch
Print
 Category Command Stat-Two
Status messages
 Also be correct. Look up
Function name in the index to
Find its proper syntax
Function value, root, extremum
Page
 Limited Warranty
HP 39gs Graphing Calculator Warranty period 12 months
Page
 Service
 Canada 905 206-4663 or
Rotc = Rest of the country
 Regulatory information
 Xxxx
This marking is valid for EU
Page
Page
 Index
Branch structures 18-17 build your own table
 Contrast
 Freeze 18-20 Line 18-20 Pixoff 18-20 Pixon 18-20 Tline
 Grobor
Acosh Alog Asinh Atanh Cosh EXP
Page
Page
 Angle measure 1-10 decimal mark 1-11 number format
 Trigonometric scaling 2-14 two-variablestatistics
 Sending and receiving 18-8 structured
 Menu lists 1-8 speed searches
 Navigate around 3-8 numeric values 3-7 numeric view setup
Page