Yeldar (seenator12)

Race #224

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Official speed 63.61 wpm (162.99 seconds elapsed during race)
Without ending ping 63.71 wpm (261 ms delay sending score to TypeRacer’s server)
Timerless 63.85 wpm (353 ms elapsed before first character typed; 162.38 seconds elapsed during race)
Timerless minus one 63.78 wpm, ignoring the first character typed
Race Start September 25, 2023 1:51:33pm UTC
Race Finish September 25, 2023 1:54:16pm UTC
Outcome No win (5 of 5)
Opponents 1. nagrajshashi (109.45 wpm)
2. peternator (87.92 wpm)
3. azeem838 (85.26 wpm)
Accuracy 95.6%
Points 171.74
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 tooolol tahtahhat helps us undersatand how a change in one quanitiititity is reallated to a change in another. HOwow does the speed of a afalling object change as a function of tieme? How does the level of water in a abarrel change as a functio of on the of the amoiununt of liquid poured into it? W ee see chagnnge occurring in nearly everything we observe in the wolrrld and univresers,ee, and powerful modern insturmeuments help us eeesee more and more. in I nn this soeection we introduce the diideas of average and instanettaneuous tarates of change, and show that they are colosely related to the slpe oep pe of a curve at a point Po on the curve. We give precise dveleevelopments otf thes e important coneccepts in the next chapter, but for now we use an informal papapproach so you will see how they lead naturally to the amain ieda ea of this chapter, the limit. The idea of a limit plays a ofoundational role throughout coalculus.
Timing
Character C a l c u l u s i s a t o o o l -l -o -o o l
Milliseconds 353 437 107 253 131 169 169 140 103 136 126 85 99 92 87 97 147 129 379 170 230 74 636 178 126
Character t a h t -t -h -a a h -h -a h a t h e l p s u s u
Milliseconds 106 50 60 171 215 83 229 407 83 226 98 184 73 94 51 302 202 90 179 97 65 122 106 152 234
Character n d e r s a -a t a n d h o w a c h a n g e
Milliseconds 165 173 219 108 347 343 429 90 96 89 149 91 97 56 100 43 112 115 147 56 123 89 96 96 99
Character i n o n e q u a n i t i -i -t -i i t i -i -t -i t i
Milliseconds 134 68 51 209 72 136 74 219 150 162 113 168 94 119 309 142 159 235 102 129 289 109 115 178 47
Character t y i s r e a l -l -a l a t e d t o a c h
Milliseconds 193 145 85 109 535 71 120 71 89 87 309 99 174 40 66 82 184 70 127 118 47 87 92 111 116
Character a n g e i n a n o t h e r . H O w -w -O o w
Milliseconds 142 129 149 73 89 137 74 72 134 104 65 126 61 111 130 175 260 160 61 231 239 95 171 80 74
Character d o e s t h e s p e e d o f a a -a f a l
Milliseconds 189 120 131 85 173 65 199 93 96 167 78 116 160 221 298 124 66 111 98 71 181 490 88 74 50
Character l i n g o b j e c t c h a n g e a s a f
Milliseconds 177 149 108 36 80 204 1283 209 143 107 217 77 197 54 184 40 107 413 149 161 116 75 99 113 164
Character u n c t i o n o f t i e -e m e ? H o w d o
Milliseconds 89 170 94 233 104 75 126 108 113 134 294 72 108 139 477 142 97 213 100 195 258 88 91 235 115
Character e s t h e l e v e l o f w a t e r i n
Milliseconds 98 82 124 127 168 86 71 168 131 195 113 129 108 109 81 81 205 119 93 168 95 106 100 80 84
Character a a -a b a r r e l c h a n g e a s a f u
Milliseconds 231 132 178 423 334 66 110 149 100 130 422 195 65 70 128 68 78 101 142 126 79 120 488 270 75
Character n c t i o o f - -f -o - -o o n t h e - -e -h -t
Milliseconds 173 40 268 137 64 256 109 79 72 317 70 117 105 209 648 71 140 171 70 65 82 354 106 228 107
Character o f t h e a m o i u n -n -u -i u n t o f l i
Milliseconds 531 125 85 378 64 102 64 259 115 123 114 7 213 250 123 246 201 176 212 82 136 92 79 406 127
Character q u i d p o u r e d i n t o i t ? W e -e
Milliseconds 120 157 117 190 100 113 202 300 112 120 204 71 167 69 183 129 111 191 97 332 124 149 264 80 340
Character - e s e e c h a g n -n -g n g e o c c u r r i
Milliseconds 119 133 130 119 216 361 182 185 87 49 167 45 274 284 186 130 30 53 323 107 408 292 109 385 134
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 104 77 112 199 128 140 140 124 121 58 156 176 124 90 153 131 73 113 591 175 102 107 755 138 129
Character e o b s e r v e i n t h e w o l r -r -l r l
Milliseconds 73 91 695 130 246 207 78 258 141 163 144 90 114 121 125 151 74 119 100 164 174 245 102 140 99
Character d a n d u n i v r e s -s -e -r e r s , e -e -, e ,
Milliseconds 128 80 88 129 129 104 127 197 163 121 214 126 159 168 107 223 119 95 54 362 39 311 86 203 290
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 258 92 104 1247 74 142 195 120 38 75 303 65 170 126 206 119 87 180 68 821 126 138 62 107 137
Character u -u r m e -e -m u m e n t s h e l p u s e e e
Milliseconds 141 557 161 100 160 353 117 265 182 97 95 80 148 135 116 162 155 230 120 109 122 75 154 162 156
Character -e -e -e s e e m o r e a n d m o r e . i n
Milliseconds 253 105 102 131 100 136 105 97 89 65 51 83 102 123 39 123 110 66 59 55 137 36 284 208 77
Character - -n -i I n -n - n t h i s s o e -e -o e c t i o
Milliseconds 208 204 105 270 252 62 290 91 190 99 137 95 107 128 86 442 103 87 253 97 112 141 193 91 95
Character n w e i n t r o d u c e t h e d i -i -d i d
Milliseconds 106 45 105 74 118 265 56 96 454 115 479 90 95 708 177 71 116 103 155 269 83 283 100 181 166
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 168 102 106 161 200 101 78 236 337 208 358 122 128 81 78 90 133 51 105 123 93 123 70 116 208
Character e t -t -e t a n e u -u o u s t a -a -t r a t e s o
Milliseconds 274 233 255 103 181 134 138 526 134 436 187 92 117 89 298 93 411 127 86 123 99 81 307 99 290
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 85 71 314 97 103 113 156 38 138 80 81 105 76 81 201 81 32 126 124 62 122 43 54 99 156
Character h e y a r e c o -o l o s e l y r e l a t e d
Milliseconds 103 142 87 74 107 48 82 86 218 185 288 215 129 118 110 302 196 111 190 64 143 120 106 83 190
Character t o t h e s l p e - -e -p o e p - -p -e p e
Milliseconds 77 52 194 155 93 173 29 102 369 50 272 149 96 229 113 106 169 123 65 225 134 106 102 225 90
Character o f a c u r v e a t a p o i n t P o
Milliseconds 59 87 415 114 90 91 186 192 139 210 119 103 129 194 568 116 128 412 298 236 98 50 61 265 210
Character - -o o n t h e c u r v e . W e g i v e
Milliseconds 77 314 103 137 76 72 89 354 93 84 72 183 136 71 207 64 145 213 699 221 104 231 71 375 61
Character p r e c i s e d v e l -l -e e -e -v e v e l o p m
Milliseconds 82 170 119 451 330 68 196 141 116 340 267 75 222 269 291 187 140 136 77 172 99 155 355 217 293
Character e n t s o t -t f t h e s - e i m p o r t a
Milliseconds 86 133 70 177 106 128 464 272 106 101 111 139 110 59 529 307 96 83 105 60 115 120 134 178 104
Character n t c o n e c -c -e c e p t s i n t h e n e
Milliseconds 130 152 77 258 77 61 543 90 303 99 114 88 128 140 155 89 103 62 80 73 127 41 81 190 185
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 223 115 88 187 92 56 303 112 153 72 172 128 312 161 100 81 146 61 125 75 130 64 91 85 179
Character e u s e a n i n f o r m a l p a p -p -a -p a
Milliseconds 115 104 202 80 123 104 267 73 197 190 69 108 108 177 164 255 142 99 209 26 169 281 158 121 173
Character p p r o a c h s o y o u w i l l s e e h
Milliseconds 108 161 118 114 234 121 207 345 165 82 131 126 91 71 78 77 60 142 170 96 95 109 660 172 179
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 71 129 72 178 85 83 125 105 140 71 103 524 103 265 107 130 139 99 73 69 142 167 301 75 90
Character t h e a -a m a i n i e -e d a - -a e a o f
Milliseconds 94 95 97 87 87 134 363 212 112 180 63 71 379 305 484 75 91 304 231 104 396 162 117 179 36
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 319 175 77 80 80 46 150 110 51 131 160 123 110 79 67 104 103 94 66 351 177 151 138 121 264
Character T h e i d e a o f a l i m i t p l a y
Milliseconds 184 86 131 63 114 223 191 189 114 132 151 48 87 36 159 447 124 131 148 145 94 234 189 96 177
Character s a o -o f o u n d a t i o n a l r o l e t
Milliseconds 102 92 115 102 341 311 113 83 77 175 126 120 131 191 128 110 92 156 221 197 92 159 82 71 241
Character h r o u g h o u t c o -o a l c u l u s .
Milliseconds 91 150 126 92 61 122 237 66 91 104 237 212 430 158 130 500 82 147 176 176 119
WPM Timing
Seconds WPM
3.26 58.9
6.52 36.81
9.78 47.85
13.04 60.74
16.3 54.48
19.56 60.74
22.82 62.58
26.08 64.42
29.34 62.99
32.6 64.42
35.86 66.6
39.12 66.57
42.38 66.54
45.64 62.58
48.9 62.33
52.16 63.27
55.42 62.36
58.68 62.17
61.94 62.19
65.2 62.76
68.46 62.23
71.72 60.74
74.98 61.3
78.24 60.74
81.5 61.84
84.76 60.6
88.02 60.81
91.28 60.48
94.54 60.93
97.8 59.88
101.06 60.92
104.32 61.66
107.58 61.8
110.84 61.71
114.1 61.42
117.36 61.35
120.61 60.89
123.87 60.54
127.13 60.97
130.39 61.2
133.65 61.95
136.91 61.88
140.17 62.24
143.43 62.75
146.69 62.66
149.95 62.58
153.21 63.13
156.47 63.35
159.73 63.78
162.99 63.61