HP 39g hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 91

inter This cursor value will be an initial guess

Page 91 highlights

3. Use the Plot view to find an initial guess for T. First set appropriate X and Y ranges in the Plot Setup. Since we have an equation, X = V × T + A × T2 ⁄ 2 , the plot will produce two graphs: one for Y = X and one for Y = V × T + A × T2 ⁄ 2 . Since we have set X = 30 in this example, one of the graphs will be Y = 30 . Therefore, make the YRNG -5 to 35. Keep the XRNG default of -6.5 to 6.5. SETUP-PLOT 5 35 4. Plot the graph. 5. Move the cursor near the positive (right-side) intersection. This cursor value will be an initial guess for T. to move cursor to the intersection. The two points of intersection show that there are two solutions for this equation. However, only positive values for x make sense, so we want to find the solution for the intersection on the right side of the y-axis. 6. Return to the Numeric view. Note: the T-value is filled in with the position of the cursor from the Plot view. 7. Ensure that the T value is highlighted, and solve the equation. Solve aplet 7-9

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 32
  • 33
  • 34
  • 35
  • 36
  • 37
  • 38
  • 39
  • 40
  • 41
  • 42
  • 43
  • 44
  • 45
  • 46
  • 47
  • 48
  • 49
  • 50
  • 51
  • 52
  • 53
  • 54
  • 55
  • 56
  • 57
  • 58
  • 59
  • 60
  • 61
  • 62
  • 63
  • 64
  • 65
  • 66
  • 67
  • 68
  • 69
  • 70
  • 71
  • 72
  • 73
  • 74
  • 75
  • 76
  • 77
  • 78
  • 79
  • 80
  • 81
  • 82
  • 83
  • 84
  • 85
  • 86
  • 87
  • 88
  • 89
  • 90
  • 91
  • 92
  • 93
  • 94
  • 95
  • 96
  • 97
  • 98
  • 99
  • 100
  • 101
  • 102
  • 103
  • 104
  • 105
  • 106
  • 107
  • 108
  • 109
  • 110
  • 111
  • 112
  • 113
  • 114
  • 115
  • 116
  • 117
  • 118
  • 119
  • 120
  • 121
  • 122
  • 123
  • 124
  • 125
  • 126
  • 127
  • 128
  • 129
  • 130
  • 131
  • 132
  • 133
  • 134
  • 135
  • 136
  • 137
  • 138
  • 139
  • 140
  • 141
  • 142
  • 143
  • 144
  • 145
  • 146
  • 147
  • 148
  • 149
  • 150
  • 151
  • 152
  • 153
  • 154
  • 155
  • 156
  • 157
  • 158
  • 159
  • 160
  • 161
  • 162
  • 163
  • 164
  • 165
  • 166
  • 167
  • 168
  • 169
  • 170
  • 171
  • 172
  • 173
  • 174
  • 175
  • 176
  • 177
  • 178
  • 179
  • 180
  • 181
  • 182
  • 183
  • 184
  • 185
  • 186
  • 187
  • 188
  • 189
  • 190
  • 191
  • 192
  • 193
  • 194
  • 195
  • 196
  • 197
  • 198
  • 199
  • 200
  • 201
  • 202
  • 203
  • 204
  • 205
  • 206
  • 207
  • 208
  • 209
  • 210
  • 211
  • 212
  • 213
  • 214
  • 215
  • 216
  • 217
  • 218
  • 219
  • 220
  • 221
  • 222
  • 223
  • 224
  • 225
  • 226
  • 227
  • 228
  • 229
  • 230
  • 231
  • 232
  • 233
  • 234
  • 235
  • 236
  • 237
  • 238
  • 239
  • 240
  • 241
  • 242
  • 243
  • 244
  • 245
  • 246
  • 247
  • 248
  • 249
  • 250
  • 251
  • 252
  • 253
  • 254
  • 255
  • 256
  • 257
  • 258
  • 259
  • 260
  • 261
  • 262
  • 263
  • 264
  • 265
  • 266
  • 267
  • 268
  • 269
  • 270
  • 271
  • 272
  • 273
  • 274
  • 275
  • 276
  • 277
  • 278
  • 279
  • 280
  • 281
  • 282
  • 283
  • 284
  • 285
  • 286
  • 287
  • 288

Solve aplet
7-9
3.
Use the Plot view to find an initial guess for
T
. First set
appropriate X and Y ranges in the Plot Setup. Since we
have an equation,
, the plot will
produce two graphs: one for
and one for
. Since we have set
in
this example, one of the graphs will be
.
Therefore, make the
YRNG
–5 to 35. Keep the
XRNG
default of –6.5 to 6.5.
>6+,)7@
SETUP
-
PLOT
*e,
>³²´@
5
>(17(5@
35
>(17(5@
4.
Plot the graph.
>3/27@
5.
Move the cursor near the positive (right-side)
intersection. This cursor value will be an initial guess for
T
.
*A,±
to move cursor to
the intersection.
The two points of
intersection show that
there are two solutions
for this equation. However, only positive values for
x
make sense, so we want to find the solution for the
intersection on the right side of the
y
-axis.
6.
Return to the Numeric view.
>180@
Note: the T-value is filled
in with the position of the
cursor from the Plot
view.
7.
Ensure that the
T
value is highlighted, and solve the
equation.
X
V
T
A
T
2
×
+
×
2
=
Y
X
=
Y
V
T
A
T
2
×
+
×
2
=
X
30
=
Y
30
=