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HP 40gs User Manual
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Linear Solve
r aplet
8-3
As you enter each of
the r
emaining kno
wn
v
alues, the so
lution
c
hanges
. The e
x
ample
at the r
ight sho
ws
the
fi
nal solution o
nce all
th
e c
o
-
efficient
s a
nd
constants
ar
e ente
red f
or the set of eq
uations w
e set
out to solve
.
hp40
g+.b
ook
Pag
e
3
Fri
day,
Dece
mber
9,
2005
12
:27
A
M
98
100
Table of Contents
Default Chapter
3
Table of Contents
3
Preface
11
Manual Conventions
11
Notice
12
1 Getting Started
13
On/Off, Cancel Operations
13
The Display
14
The Keyboard
15
Menus
20
Input Forms
21
Mode Settings
22
Setting a Mode
23
Aplets (E-Lessons)
24
Aplet Library
28
Aplet Views
28
Overlay Plot
29
Aplet View Configuration
30
Mathematical Calculations
31
Using Fractions
37
Complex Numbers
41
Catalogs and Editors
42
2 Aplets and Their Views
43
Aplet Views
43
About the Symbolic View
43
Defining an Expression (Symbolic View)
43
Evaluating Expressions
45
About the Plot View
47
Setting up the Plot (Plot View Setup)
47
Exploring the Graph
49
Other Views for Scaling and Splitting the Graph
55
About the Numeric View
58
Setting up the Table (Numeric View Setup)
58
Exploring the Table of Numbers
59
Building Your Own Table of Numbers
61
Build Your Own" Menu Keys
62
Example: Plotting a Circle
62
3 Function Aplet
65
About the Function Aplet
65
Getting Started with the Function Aplet
65
Function Aplet Interactive Analysis
73
Signed Area
74
Plotting a Piecewise-Defined Function
76
4 Parametric Aplet
77
About the Parametric Aplet
77
Getting Started with the Parametric Aplet
77
5 Polar Aplet
81
Getting Started with the Polar Aplet
81
6 Sequence Aplet
83
About the Sequence Aplet
83
Getting Started with the Sequence Aplet
83
7 Solve Aplet
87
About the Solve Aplet
87
Getting Started with the Solve Aplet
88
Use an Initial Guess
91
Interpreting Results
92
Plotting to Find Guesses
93
Using Variables in Equations
96
8 Linear Solver Aplet
97
About the Linear Solver Aplet
97
Getting Started with the Linear Solver Aplet
97
9 Triangle Solve Aplet
101
About the Triangle Solver Aplet
101
Getting Started with the Triangle Solver Aplet
101
10 Statistics Aplet
105
About the Statistics Aplet
105
Getting Started with the Statistics Aplet
105
Entering and Editing Statistical Data
110
Defining a Regression Model
116
Computed Statistics
118
Plotting
119
Plot Types
120
Fitting a Curve to 2VAR Data
121
Setting up the Plot (Plot Setup View)
122
Trouble-Shooting a Plot
123
Exploring the Graph
123
Calculating Predicted Values
124
11 Inference Aplet
127
About the Inference Aplet
127
Getting Started with the Inference Aplet
127
Confidence Intervals
128
Importing Sample Statistics from the Statistics Aplet
130
Hypothesis Tests
134
One-Sample Z-Test
134
Two-Sample Z-Test
135
One-Proportion Z-Test
136
Two-Proportion Z-Test
137
One-Sample T-Test
138
Two-Sample T-Test
140
Confidence Intervals
141
One-Sample Z-Interval
141
Two-Sample Z-Interval
142
One-Proportion Z-Interval
143
Two-Proportion Z-Interval
143
One-Sample T-Interval
144
Two-Sample T-Interval
145
12 Using the Finance Solver
147
Background
147
Performing TVM Calculations
150
Calculating Amortizations
153
13 Using Mathematical Functions
155
Math Functions
155
The MATH Menu
155
Math Functions by Category
156
Keyboard Functions
157
Calculus Functions
160
Complex Number Functions
161
Constants
162
Conversions
162
Hyperbolic Trigonometry
163
List Functions
164
Loop Functions
164
Matrix Functions
165
Polynomial Functions
165
Probability Functions
166
Real-Number Functions
168
Two-Variable Statistics
171
Symbolic Functions
171
Test Functions
173
Trigonometry Functions
174
Symbolic Calculations
174
Finding Derivatives
175
Program Constants and Physical Constants
178
Program Constants
179
Physical Constants
179
14 Computer Algebra System (CAS)
183
What Is a CAS
183
Performing Symbolic Calculations
183
An Example
184
CAS Variables
186
The Current Variable
186
CAS Modes
187
Using CAS Functions in HOME
189
Online Help
190
CAS Functions in the Equation Writer
191
ALGB Menu
192
DIFF Menu
198
REWRI Menu
210
SOLV Menu
215
TRIG Menu
220
CAS Functions on the MATH Menu
227
Algebra Menu
227
Complex Menu
227
Constant Menu
228
Diff & Int Menu
228
Hyperb Menu
228
Integer Menu
228
Modular Menu
233
Polynomial Menu
237
Real Menu
242
Rewrite Menu
242
Solve Menu
242
Tests Menu
243
Trig Menu
243
CAS Functions on the CMDS Menu
244
15 Equation Writer
253
Using CAS in the Equation Writer
253
The Equation Writer Menu Bar
253
Cursor Mode
254
Configuration Menus
255
Entering Expressions and Subexpressions
257
How to Modify an Expression
263
Accessing CAS Functions
264
Equation Writer Variables
268
Predefined CAS Variables
268
The Keyboard in the Equation Writer
269
16 Step-By-Step Examples
275
Introduction
275
17 Variables and Memory Management
305
Introduction
305
Storing and Recalling Variables
306
The VARS Menu
308
Memory Manager
313
18 Matrices
315
Introduction
315
Creating and Storing Matrices
316
Working with Matrices
318
Matrix Arithmetic
320
Solving Systems of Linear Equations
322
Matrix Functions and Commands
324
Argument Conventions
324
Matrix Functions
324
Examples
327
19 Lists
331
Displaying and Editing Lists
334
Deleting Lists
336
Transmitting Lists
336
List Functions
336
Finding Statistical Values for List Elements
339
20 Notes and Sketches
341
Introduction
341
Aplet Note View
341
Aplet Sketch View
343
The Notepad
346
21 Programming
349
Introduction
349
Program Catalog
350
Creating and Editing Programs
352
Using Programs
355
Customizing an Aplet
357
Aplet Naming Convention
358
Example
358
Programming Commands
361
Aplet Commands
362
Branch Commands
365
Drawing Commands
367
Graphic Commands
369
Loop Commands
371
Matrix Commands
372
Print Commands
373
Prompt Commands
374
Stat-One and Stat-Two Commands
377
Stat-Two Commands
378
Storing and Retrieving Variables in Programs
379
Plot-View Variables
379
Symbolic-View Variables
386
Numeric-View Variables
388
Scientific Format
389
Note Variables
391
Sketch Variables
391
22 Extending Aplets
393
Creating New Aplets Based on Existing Aplets
393
Using a Customized Aplet
395
Resetting an Aplet
395
Annotating an Aplet with Notes
396
Annotating an Aplet with Sketches
396
Downloading E-Lessons from the Web
396
Sending and Receiving Aplets
396
Sorting Items in the Aplet Library Menu List
398
Glossary
399
Resetting the HP 40Gs
401
To Erase All Memory and Reset Defaults
401
If the Calculator Does Not Turn on
402
Operating Details
402
Batteries
402
Variables
404
Home Variables
404
Function Aplet Variables
405
Parametric Aplet Variables
406
Polar Aplet Variables
407
Sequence Aplet Variables
408
Solve Aplet Variables
409
Statistics Aplet Variables
410
MATH Menu Categories
411
Math Functions
411
Program Constants
413
Physical Constants
414
CAS Functions
415
Program Commands
417
Status Messages
418
Limited Warranty
421
Service
423
Regulatory Notices
425
Index
429
4
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HP 40gs Specifications
General
Brand
HP
Model
40gs
Category
Calculator
Language
English
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