chameleom (chameleom)

Race #174

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Official speed 61.09 wpm (169.72 seconds elapsed during race)
Without ending ping 61.15 wpm (153 ms delay sending score to TypeRacer’s server)
Timerless 61.38 wpm (642 ms elapsed before first character typed; 168.92 seconds elapsed during race)
Timerless minus one 61.31 wpm, ignoring the first character typed
Race Start December 3, 2023 6:53:34pm UTC
Race Finish December 3, 2023 6:56:24pm UTC
Outcome No win (4 of 5)
Opponents 1. penguinstar123 (90.94 wpm)
2. phillipcool127 (85.96 wpm)
3. ginforspeed (79.52 wpm)
Accuracy 97.2%
Points 164.93
Text #4940058 (Length: 864 characters)

Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling object change as a function of time? How does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Characters typed Calculus is a toold tha that helps us understand how a change in one quantity siis related to a change in another. How does the speed of a falling object change as a function of time? How does the elevel of water ina a barrel change as a function of the amound ot of liquid poured into it? We see change occurring in nearly everything we observe in the world and univerese, and tpowerful modern nisntrnstruments help us see more and more. In this section we introduce the idwaeas of average and instantaneous rates of change, and show that they are closleely realtlated to thwe slpoope of a curve at a pointP P ont he the curve. We give precise developments of these important concepts in the enxnext chapter, but for now we use naan uinformal approucach so you will see how they loeeafdd naturally to the main idea of this chapter, athe limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l d t h a -a -h
Milliseconds 642 239 171 255 130 224 217 98 214 155 118 99 193 118 119 62 174 187 98 97 99 73 161 195 165
Character -t - -d t h a t h e l p s u s u n d e r s t
Milliseconds 157 267 479 149 127 90 158 183 83 148 50 184 94 145 158 138 108 134 146 73 101 198 158 198 197
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 223 161 170 126 120 181 84 156 110 119 178 71 102 120 145 171 95 135 131 88 124 94 128 99 164
Character u a n t i t y s i -i -s i s r e l a t e d t o
Milliseconds 122 356 60 236 161 105 214 165 201 84 307 151 209 54 156 41 203 179 219 319 171 225 85 132 114
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 123 194 154 130 92 108 119 103 197 49 124 88 120 100 107 95 84 103 116 181 179 116 176 209 128
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 179 165 124 74 181 184 101 99 59 143 387 249 143 265 273 125 253 136 182 205 165 146 191 78 173
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 116 96 83 139 245 598 238 61 239 210 71 180 100 119 115 155 179 147 236 275 209 127 122 104 131
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 112 245 241 133 100 135 232 152 231 152 151 92 90 109 874 533 379 349 88 453 262 39 347 231 88
Character t h e e -e l e v e l o f w a t e r i n a -a
Milliseconds 111 121 185 287 256 471 247 127 183 197 196 165 153 130 119 115 287 285 177 162 122 140 115 176 448
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 172 136 136 197 92 292 202 192 158 114 215 133 102 182 159 227 181 186 230 194 140 150 129 118 98
Character c t i o n o f t h e a m o u n d o -o - -d t
Milliseconds 151 274 32 118 84 201 98 151 101 126 80 106 149 184 165 125 117 258 302 0 168 451 182 163 269
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 119 175 197 349 85 309 249 200 115 375 158 360 92 400 333 254 202 144 120 126 111 107 75 165 84
Character ? W e s e e c h a n g e o c c u r r i n g
Milliseconds 434 595 506 195 169 408 216 176 130 151 151 62 202 124 191 137 123 221 178 145 203 461 158 112 84
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 188 264 101 142 173 54 228 176 251 165 141 171 249 239 158 191 206 114 164 67 124 141 126 234 168
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 221 154 189 194 220 252 209 121 137 125 77 77 168 30 158 201 94 140 158 125 127 121 151 132 137
Character u n i v e r e -e s e , a n d t -t p o w e r f u
Milliseconds 201 139 258 455 195 183 402 428 128 188 132 99 112 236 0 131 76 413 304 109 206 184 181 248 90
Character l m o d e r n n -n i s n t r -r -t -n -s n s t r u
Milliseconds 139 178 296 150 180 370 264 119 149 207 356 289 116 16 233 296 407 138 157 172 347 205 266 389 134
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 241 151 118 85 232 276 274 99 250 130 181 455 183 124 156 219 214 139 188 96 98 149 139 164 82
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 217 65 285 68 126 167 265 169 238 263 127 115 76 136 142 125 162 233 234 210 108 138 110 174 56
Character e i n t r o d u c e t h e i d w a -a -w e a s
Milliseconds 142 180 137 110 136 201 99 194 117 177 214 76 136 83 124 50 183 51 230 344 287 171 66 199 214
Character o f a v e r a g e a n d i n s t a n t a n
Milliseconds 201 207 126 184 51 249 170 191 206 184 216 53 180 153 100 112 117 102 80 186 195 123 133 427 161
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 227 254 111 222 158 178 297 176 203 201 73 246 316 156 196 81 149 67 138 177 233 101 139 310 72
Character s h o w t h a t t h e y a r e c l o s l
Milliseconds 283 148 103 110 59 178 97 121 116 156 123 153 85 138 129 182 179 181 186 100 169 103 185 126 503
Character e -e -l e l y r e a l t -t -l -a l a t e d t o t
Milliseconds 66 285 174 90 164 170 186 502 183 229 133 169 364 202 463 285 130 154 192 195 340 197 94 133 227
Character h w -w e s l p o -o -p o p e o f a c u r v e
Milliseconds 106 239 396 133 138 156 174 305 61 376 163 318 90 176 154 121 110 160 81 169 160 86 131 223 198
Character a t a p o i n t P - -P P o n t h e
Milliseconds 137 189 173 148 102 117 495 71 250 130 150 367 248 291 189 289 272 261 210 110 150 0 182 64 103
Character - -e -h - -t t h e c u r v e . W e g i v e
Milliseconds 266 218 170 182 167 337 163 101 104 111 156 89 136 228 139 200 240 604 239 117 169 115 125 246 105
Character p r e c i s e d e v e l o p m e n t s o f t
Milliseconds 157 129 157 280 309 285 157 201 401 299 267 195 199 240 117 251 97 167 61 192 231 161 250 153 128
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 102 103 472 233 126 144 194 434 111 290 182 231 152 116 124 161 150 80 223 208 156 161 191 148 195
Character n t h e e n x -x -n -e n e x t c h a p t e r ,
Milliseconds 124 50 180 51 146 84 169 36 209 704 182 134 270 28 234 223 102 173 90 136 108 169 184 196 148
Character b u t f o r n o w w e u s e n a -a -n a
Milliseconds 91 206 64 150 111 173 64 149 95 138 112 122 136 431 162 155 263 152 148 120 272 92 264 155 148
Character n u -u i n f o r m a l a p p r o u c -c -u a c h
Milliseconds 129 77 115 377 288 132 117 112 93 127 171 131 157 138 165 164 151 207 151 231 319 203 124 250 72
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 164 256 77 101 223 28 103 93 80 126 195 185 167 119 208 176 118 219 90 89 134 101 96 152 84
Character l o e -e -o e a f d -d -f d n a t u r a l l y t
Milliseconds 163 180 232 287 491 367 627 448 360 129 381 167 230 105 118 98 253 149 166 207 128 179 43 155 143
Character o t h e m a i n i d e a o f t h i s c
Milliseconds 43 117 330 151 124 65 234 80 102 95 205 121 70 203 295 159 196 139 115 87 64 244 117 154 170
Character h a p t e r , a -a t h e l i m i t . T h e
Milliseconds 343 137 177 142 197 169 177 120 103 465 168 75 134 90 154 116 202 147 143 219 186 235 298 151 158
Character i d e a o f a l i m i t p l a y s a f
Milliseconds 195 168 211 304 246 164 155 147 101 107 262 0 214 150 131 105 191 140 82 300 194 200 124 263 170
Character o u n d a t i o n a l r o l e t h r o u g h o
Milliseconds 118 50 218 146 282 223 112 90 129 260 275 183 197 86 261 124 219 161 103 250 133 68 149 112 164
Character u t c a l c u l u s .
Milliseconds 71 150 133 208 257 184 229 218 19 250 161 143
WPM Timing
Seconds WPM
3.39 60.1
6.79 53.03
10.18 63.64
13.58 64.52
16.97 66.46
20.37 71.3
23.76 70.71
27.15 69.38
30.55 68.74
33.94 66.82
37.34 65.24
40.73 65.11
44.13 66.35
47.52 64.65
50.92 63.87
54.31 62.97
57.7 63.43
61.1 63.83
64.49 64.57
67.89 63.99
71.28 63.47
74.68 61.55
78.07 61.18
81.46 61.87
84.86 62.5
88.25 62.41
91.65 62.98
95.04 62.75
98.44 63.64
101.83 63.16
105.22 62.04
108.62 61.32
112.01 61.71
115.41 60.62
118.8 60.3
122.2 60.2
125.59 60.29
128.98 60.47
132.38 60.19
135.77 60.72
139.17 60.45
142.56 60.35
145.96 60.76
149.35 59.7
152.75 60.26
156.14 60.48
159.53 60.48
162.93 60.69
166.32 60.82
169.72 61.09