Hp 49g Graphing Calculator Instrukcja Użytkownika Strona 131
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Chapter 6
Solving equations
Contents
About solving equations.............................................................................. 6-2
Solving an equation...................................................................................... 6-3
Example.....................................................................................................6-3
Interpreting results...................................................................................6-4
Solving polynomial equations.....................................................................6-5
Example.....................................................................................................6-5
Finding a polyiromial from a set of roots.............................................6-7
Solving linear systems...................................................................................6-7
Representing a system as matrices.......................................................6-8
Example.....................................................................................................6-9
Solving differential equations....................................................................6-10
Using the financial solver........................................................................... 6-11
Time-value-of-money calculation pai'ameters
................................
6-11
Time-value-of-money calculations.....................................................6-12
Amortizing the calculation...................................................................6-13
Introduction
This chapter describes how to use the HP 49G to solve equations, or
systems of equations, to get a numeric solution. To solve equations for
symbolic solutions, see chapter 5, “Working with expressions.”
This chapter also includes information on how to use the financial solver
to calculate details on amoimts of money borrowed or lent.
Solving equations
Page 6-1
- USER’S GUIDE 3
- Contents 10
- The purpose of this manual 13
- Advanced Functions 14
- HP 49G on the World Wide Web 14
- Regulatory inFormation 14
- End“user terms and conditions 15
- Warranty 16
- Chapter 1 19
- 1.1; HP 49G key map 20
- Page 1-2 20
- The HP 49G’s keyboards 21
- 0 (COS) 22
- (ALPHA) 0 (siÑ) 22
- What each key does 23
- Gr/ViSflil I ^ 24
- CESS G©Sl QES) (531 C58i 25
- ___________________ 26
- Page 1-8 Keys 26
- ARHH QAPiX DEf 27
- Page 1-9 27
- Key conventions 28
- Basic operation 29
- Turning on and turning oFF 30
- DeFauU screen 31
- U'Kk 32
- Page 2-5 33
- (£1) is directly below edit 34
- Using the command line 35
- Multi-line entries 36
- Entering numbers 36
- Mantissa-and-exponent entry 37
- Entering characters 38
- Entering special characters 39
- ® imtil it is 40
- Editing the command line 41
- Input Forms 42
- Extended data fields 43
- List fields 43
- Check Reids 44
- Input form help 44
- OK. This saves your 45
- Changing a mode 46
- Display modes 47
- BTOiBHgHBiaiBaHHiTi’HBmMi 48
- when the Calculator 49
- RPN mode 50
- Approximate mode 51
- Example 1: 52
- Example 2: 52
- Example 3: 52
- Example 4: 52
- Example 5: 53
- Time Management 54
- Appointment alarms 55
- Press (d (TIME) 56
- Control alarms 57
- 0 (TiME) 58
- Chapter 3 59
- Creating a new expression 60
- Editing an expression 61
- Using Equation Writer 62
- Operating modes 63
- CURS to start Cursor mode 64
- (5x + 3) 65
- 5x expression 65
- Examples 66
- 0ffi2®5®5©(S®0E®®@ 67
- Chapter 4 69
- Introduction 70
- Basic plotting 71
- Page 4-4 72
- CHOOS and select the type of 73
- Plot types 74
- 0 (ME) and 0 dS respectively 74
- Parametric plots 76
- Plot window parameters 77
- Polar plots 78
- Conic plots 81
- Differential equation plots 83
- The type of plot 84
- Truth plots 85
- Slopefield plots 87
- Wireframe plots 88
- Pseudo-Contour plots 89
- Y-Slice plots 91
- Y-Slice) 92
- Parametric surface plots 93
- X coordinate of the eyepoint 94
- Fast 3-D plots 95
- Statistical plots 96
- Scatter plots 97
- Bar charts 99
- Plot setup parameters 100
- Histograms 101
- Page 4-34 102
- Plotting graphs 102
- Cursor movement 103
- To zoom in 104
- To zoom out 104
- Zoom options 104
- Analyzing Functions 105
- (FD to {£6) 106
- SLOPE on the FUNCTIONS menu 107
- AREA on the FUNCTIONS menu 107
- 0 (Ible) to select TABLE 108
- PLoHing graphs 109
- Page 4-41 109
- Page 4-42 Plotting graphs 110
- Chapter 5 111
- Working with expressions 111
- Configuring the CAS 112
- Numeric option 113
- Approx option 113
- Other options 114
- • Rigorous 115
- • Simp Non-Rational 115
- From the command line 117
- 'Xt 118
- >4_________________ 118
- Working in Equation Writer 119
- Performing substitutions 120
- Expanding and Factorizing 121
- X, use the following 122
- Factorizing expressions 123
- :expln(sini:x» 124
- EXPC i 'X) 124
- Page 5-15 125
- Page 5-16 126
- Calculus commands 127
- 0 (05) DERiv. & integ 127
- 0 (05) deriv. & integ 127
- Page 5-18 128
- Setting step-by-step mode 129
- Step-by-step example 130
- Chapter 6 131
- Solving equations 131
- About solving equations 132
- Solving an equation 133
- . If the numeric solver 134
- Equation 135
- EDIT. Matrix Writer 136
- SOLVE. The HP 49G solves the 136
- Wsymb(ENt!r) 136
- Solving linear systems 137
- Page 6-8 138
- [[-5.] C3.] C4.]] 139
- E: CC-5. ] C3. ] C4. ]] 139
- . Tlie default 140
- Using the financial solver 141
- HdnEV^e^ 142
- . The financial solver 143
- Chapter 7 145
- Storing objects 145
- Variables 146
- Using @) 147
- Using File Manager 147
- User-defined functions 148
- Directories 149
- OK or (EifflR) 150
- Method 1 151
- (¡ID © HALT 152
- Page 7-9 153
- Memory Management 154
- Using port memory 155
- Chapter 8 157
- Creating vectors 158
- Vector mathematics 159
- Absolute magnitude 160
- Dot product 161
- Cross product 161
- PROBABILITY menu 162
- OK or (ENTER) 162
- Arrays and matrices 163
- 0 0 to enter row delimiters 164
- 0 O to separate each element 164
- Editing an array 165
- Matrix arithmetic 166
- Multiplying two matrices 167
- 4. Press (ENTER) 168
- Chapter 9 169
- Using statistics 169
- Descriptive statistics 170
- Single-variable statistics 171
- CHOOS. A choose list 173
- PRED. The computed value 174
- Inferential statistics 175
- Using inFerential statistics 176
- Ea$QBi!SE!33iEaBEamBH3 177
- Two-Sample Z-Test 178
- Menu name: Z-Test: 1 P 179
- Menu name: Z-Test: P1-P2 180
- 2 • I ^7^2 180
- Menu name: T-Test: 1 181
- One-Sample T-Test 181
- Menu name: T-Test: 182
- Confidence intervals 183
- One-Sample Z-Interval 183
- Two-Sample Z-Interval 183
- One-Proportion Z-Interval 184
- Two-Proportion Z-Interval 184
- One-Sample T-!nterval 185
- Two-Sample T-Interval 186
- Chapter 10 187
- Introduction to programming 187
- Getting started 188
- -»A B ' 189
- 0Q, and press 190
- Algebraic and RPN modes 191
- Handling data 192
- How a program flows 192
- Nested procedures 193
- Working with variables 194
- 0©(I®C©®0®(I®A0(lPi)B 196
- (0 (CHARS)) or press 198
- Looping and branching 199
- Trapping errors 201
- {}►marks ; 202
- Appendix A 203
- Page A-2 204
- ([I/O]) to display the I/O 205
- Appendix B 207
- Page B-2 208
- Error messages 208
- Page B-3 209
- Page B-4 Error messages 210
- Appendix C 211
- Page C-2 212
- Page C-3 213
- Page C-4 214
- Page C-5 215
- Page C-6 216
- TroubLehooting 217
- Calculator will not turn on 218
- When to replace the batteries 219
- Replacing the batteries 219
- Calculator is not responding 220
- (fD and (fD 221
- Error on start up 222
- Solutions: 223
- In summary: 224
- Appendix E 225
- Working in RPN mode 225
- Using the stack 226
- PerForming RPN calculations 227
- Example stack calculations 228
- Multi-command calculations 229
- + 3a- + 7 230
- Function 231
- Command Function (Continued) 232
- See bar plots 233
- See computer algebra system 234
- See input fonns 234
- See also envi 238
- See appointment 238
- See RPN 238
- Also see history 239
- See error messages 240
- Service and Support 241
- HEWLETT« 242
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