dirty_qwerty (soapfish)

Race #6170

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Official speed 80.97 wpm (128.05 seconds elapsed during race)
Without ending ping 81.12 wpm (229 ms delay sending score to TypeRacer’s server)
Timerless 81.50 wpm (606 ms elapsed before first character typed; 127.21 seconds elapsed during race)
Timerless minus one 81.41 wpm, ignoring the first character typed
Race Start February 7, 2024 4:59:18am UTC
Race Finish February 7, 2024 5:01:27am UTC
Outcome No win (2 of 3)
Opponents 1. eo_37 (85.05 wpm)
3. teayoumh (80.21 wpm)
Accuracy 97.5%
Points 218.61
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 tool that helps uns understand how a change in once quantityi is related to a change in another. How does the speed of a falling object change as a function of time? HOwow does th tee e level of water in a batrrel change as a function of the amount nof liquied p0ooured intio it/ ? We see change orccuring inoccurring in nearly everything we observe in the world and universe, and powerful modern instrumenets help us see more and more. in In this section we indtroduce 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 thes ese eimimportant concepts in the next chapter, but for now we use an informal approach so you will see how they lead natruurally to the main ideas of idea of this chapter, the limmit. The idea ofa of a limit plays a foundational role through out calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 606 369 67 196 121 344 87 195 75 182 77 82 145 86 174 78 130 640 38 73 159 26 77 42 219
Character e l p s u n -n s u n d e r s t a n d h o w
Milliseconds 78 59 128 95 136 203 211 586 68 75 149 177 19 132 69 113 69 113 66 103 65 205 26 123 64
Character a c h a n g e i n o n c -c e q u a n t i t
Milliseconds 136 35 457 101 91 25 76 79 118 117 36 77 201 24 94 489 60 38 187 79 153 19 478 45 149
Character y i - -i i s r e l a t e d t o a c h a
Milliseconds 90 298 100 382 139 85 150 95 79 476 59 104 101 89 75 186 79 95 50 88 181 235 331 70 52
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 85 43 75 84 108 35 75 169 89 41 107 153 0 57 175 50 199 81 205 116 136 76 91 81 49
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 179 106 47 84 137 30 181 108 448 88 125 85 100 148 53 179 73 142 128 155 37 118 65 226 108
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 140 112 165 171 36 219 47 152 11 512 187 331 146 25 132 539 55 329 92 172 43 250 50 52 18
Character o f t i m e ? H O w -w -O o w d o e s t h
Milliseconds 96 153 134 104 195 82 31 69 269 55 262 101 248 421 122 175 64 67 117 51 106 72 75 130 32
Character t -t e -e e - -e - e l e v e l o f w a t e
Milliseconds 148 36 357 105 22 135 85 419 113 117 184 183 153 46 134 83 85 117 192 66 144 89 146 56 151
Character r i n a b a t -t r r e l c h a n g e a s
Milliseconds 54 63 90 69 60 100 129 174 214 447 534 32 116 101 121 330 231 50 88 44 40 97 117 49 75
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 82 112 48 201 136 163 433 217 40 49 34 97 168 64 69 110 39 49 61 233 92 145 73 185 83
Character n -n o f l i q u i e -e d p 0 o -o -0 o u r e d
Milliseconds 100 0 578 255 50 68 145 52 199 163 88 51 497 33 68 218 101 32 549 131 172 71 95 147 177
Character i n t i -i o i t / - -/ ? W e s e e c h
Milliseconds 59 126 32 99 124 560 194 79 183 44 256 96 537 120 410 84 272 215 144 160 176 102 68 162 39
Character a n g e o r -r c c u r i n g i n -i -n -o -c -c -u -r
Milliseconds 133 31 119 64 86 145 90 316 76 133 156 103 102 45 86 84 148 66 367 0 125 0 0 0 0
Character -i -n -g - o c c u r r i n g i n n e a r l y e
Milliseconds 0 0 0 0 238 190 134 95 150 199 189 28 131 69 100 37 84 165 29 103 87 49 161 87 118
Character v e r y t h i n g w e o b s e r v e i n t
Milliseconds 184 101 108 87 113 86 163 39 77 39 178 49 107 367 94 246 45 77 233 157 208 169 35 116 63
Character h e w o r l d a n d u n i v e r s e , a n
Milliseconds 101 35 78 90 16 156 31 115 92 274 36 86 47 162 177 107 150 166 49 152 84 187 87 119 103
Character d p o w e r f u l m o d e r n i n s t r u m
Milliseconds 71 51 217 60 35 33 91 257 88 190 103 155 59 64 214 504 48 54 213 30 198 90 214 68 185
Character e n e -e t s h e l p u s s e e m o r e a
Milliseconds 84 98 85 564 34 128 111 224 116 36 134 102 384 85 59 163 285 75 77 151 47 69 69 136 161
Character n d m o r e . i n -i -n - I n t h i s s e
Milliseconds 72 53 62 161 35 86 31 166 89 177 235 91 440 0 0 448 156 116 528 72 54 58 113 140 73
Character c t i o n w e i n d -d t r o d u c e t h e
Milliseconds 196 196 85 41 64 53 138 54 105 366 49 54 398 102 151 25 241 141 69 252 171 314 53 67 43
Character i d e a s o f a v e r a g e a n d i n s t
Milliseconds 126 40 135 99 85 139 164 592 102 401 37 139 106 151 57 92 136 97 138 48 70 201 50 36 65
Character a n t a n e o u s r a t e s o f c h a n g e
Milliseconds 134 101 343 96 153 531 201 55 147 97 154 168 149 71 117 116 192 85 87 171 74 88 49 80 58
Character , a n d s h o w t h a t t h e y a r e
Milliseconds 132 65 102 69 65 66 132 28 55 114 53 71 95 120 65 146 71 113 20 117 116 18 97 78 90
Character c l o s e l y r e l a t e d t o t h e s l
Milliseconds 249 0 453 81 47 232 172 82 133 51 153 116 65 86 195 136 246 55 63 61 73 34 93 125 95
Character o p e o f a c u r v e a t a p o i n t
Milliseconds 156 91 202 153 163 19 106 43 102 248 117 82 242 43 82 113 140 0 642 93 150 114 815 29 403
Character P o n t h e c u r v e . W e g i v e
Milliseconds 173 222 88 220 35 94 60 116 30 65 202 102 79 268 36 101 84 266 257 182 162 80 82 51 53
Character p r e c i s e d e v e l o p m e n t s o f t
Milliseconds 228 33 51 205 179 86 67 84 161 238 180 52 64 147 74 268 66 79 67 185 78 399 48 87 96
Character h e s e -e - s -s e e i m -m -e -i i m p o r t a n
Milliseconds 73 34 195 0 86 383 106 160 305 130 55 240 120 52 303 124 0 324 51 123 0 158 190 109 118
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 99 58 460 55 29 119 209 103 102 153 94 136 16 96 9 176 39 81 169 43 221 113 90 160 80
Character a p t e r , b u t f o r n o w w e u s e
Milliseconds 80 100 196 153 58 137 80 219 67 122 32 158 42 141 28 128 45 108 75 106 19 101 185 48 46
Character a n i n f o r m a l a p p r o a c h s o
Milliseconds 114 122 93 86 200 51 66 135 85 95 118 173 112 347 71 112 57 145 144 171 50 97 218 58 47
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 179 117 53 66 101 66 171 102 92 102 201 126 38 154 26 122 65 97 70 65 84 65 434 16 302
Character d n a t r u -u -r u r a l l y t o t h e m a
Milliseconds 102 197 219 317 67 198 81 423 120 123 52 181 54 138 117 76 101 67 69 19 164 18 181 315 139
Character i n i d e a s o f -o -f - -i -d -e -a -s - i d e a
Milliseconds 30 69 64 150 40 144 66 81 135 148 49 122 271 0 0 115 0 0 0 0 0 361 73 233 126
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 106 202 26 100 92 47 70 140 121 182 103 80 181 154 145 71 126 69 169 49 65 50 336 92 77
Character m -m i t . T h e i d e a o f a -o -f -a - -
Milliseconds 106 561 132 131 147 72 200 69 84 59 155 56 150 51 113 117 27 158 0 181 432 0 0 0 0
Character o f a l i m i t p l a y s a f o u n d a
Milliseconds 519 51 74 71 82 280 36 218 302 72 382 293 225 42 145 40 157 37 142 95 472 44 216 43 217
Character t i o n a l r o l e t h r o u g h - o u t
Milliseconds 509 149 33 60 290 97 102 226 24 154 48 81 110 98 283 79 28 73 99 97 356 179 37 31 116
Character c a l c u l u s .
Milliseconds 188 90 21 285 90 164 280 75 156
WPM Timing
Seconds WPM
2.56 60.91
5.12 72.63
7.68 78.1
10.24 79.66
12.8 73.1
15.37 79.66
17.93 83.67
20.49 84.93
23.05 82.78
25.61 83.41
28.17 80.08
30.73 80.05
33.29 78.22
35.85 79.99
38.41 80.28
40.98 78.19
43.54 76.07
46.1 76.01
48.66 73.25
51.22 75.21
53.78 76.53
56.34 77.74
58.9 78.23
61.46 77.71
64.02 78.72
66.58 77.68
69.15 77.75
71.71 77.48
74.27 78.04
76.83 78.88
79.39 80.11
81.95 80.98
84.51 81.08
87.07 80.62
89.63 81.13
92.19 81.22
94.76 80.16
97.32 80.27
99.88 80.98
102.44 82.12
105 82.52
107.56 82.89
110.12 82.71
112.68 81.68
115.24 82.16
117.8 82
120.36 81.25
122.93 81.12
125.49 81.19
128.05 80.97