dancing_shadow (dancing_shadow)

Race #1585

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Official speed 67.79 wpm (152.94 seconds elapsed during race)
Without ending ping 67.87 wpm (183 ms delay sending score to TypeRacer’s server)
Timerless 68.95 wpm (2,400 ms elapsed before first character typed; 150.36 seconds elapsed during race)
Timerless minus one 68.87 wpm, ignoring the first character typed
Race Start March 15, 2024 4:52:39pm UTC
Race Finish March 15, 2024 4:55:12pm UTC
Outcome No win (4 of 5)
Opponents 1. pajahify (100.18 wpm)
3. bored_fruit (72.95 wpm)
Accuracy 96.7%
Points 183.04
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 tooa tool that help ss us understand how a change in oncee qunaantiantity is related to a change in another. hHow 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 funtion ction 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 moere. In this section we instroduce the ideas of eveaverage and instanataneous rates of change, and hshow that they are closely related to the sloep ppe of a curve at a point P on the uvurcurve. We give proceicidese cddevdevelopments of therse important concepts in the nex t chapter, but for now we use an informal approach so you will see hoeghw they lead naturally to the main idaea of this chapter, the limit. The idea of a limti iit plays a fondaundational rol ile rhgouthroughboutfout acalculua.s.
Timing
Character C a l c u l u s i s t o o -o -o -t a t o o l
Milliseconds 2400 229 555 145 86 282 132 120 86 118 78 104 216 98 131 302 178 268 187 99 193 72 122 160 51
Character t h a t h e l p s -s - s u s u n d e r s t
Milliseconds 134 71 64 45 69 163 82 124 203 551 127 351 151 100 101 209 120 104 335 164 71 177 68 181 182
Character a n d h o w a c h a n g e i n o n c e -e
Milliseconds 114 55 110 101 173 67 82 80 137 84 212 86 67 88 135 94 53 396 131 149 225 73 219 221 221
Character -c e q u n a -a a n t i -i -t -n -a -n a n t i t y i
Milliseconds 159 172 94 348 54 221 79 270 141 88 111 155 252 165 119 117 152 161 70 116 84 245 92 177 153
Character s r e l a t e d t o a c h a n g e i n
Milliseconds 113 129 255 84 87 82 115 134 162 70 145 75 65 121 108 130 89 82 65 135 129 490 132 99 102
Character a n o t h e r . h -h H o w d o e s t h e s
Milliseconds 294 74 110 101 49 121 52 134 129 255 302 193 135 67 115 239 61 116 114 55 301 83 70 62 150
Character p e e d o f a f a l l i n g o b j e c t
Milliseconds 87 129 472 182 116 131 86 81 214 96 353 100 119 153 108 69 35 112 87 166 71 128 187 162 98
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 173 102 80 117 72 81 68 131 111 68 317 88 327 54 155 81 148 66 71 62 62 126 100 65 151
Character i m e ? H o w d o e s t h e l e v e l o
Milliseconds 93 92 45 294 118 266 188 113 101 183 66 137 100 37 194 100 87 59 141 64 138 83 96 88 146
Character f w a t e r i n a b a r r e l c h a n g
Milliseconds 87 89 211 148 117 161 69 51 99 114 168 222 213 176 403 203 165 98 222 235 280 71 78 81 85
Character e a s a f u n t i o n - -n -o -i -t c t i o n
Milliseconds 66 66 134 135 104 180 96 343 79 168 68 130 68 64 96 250 137 234 130 137 161 194 115 83 81
Character o f t h e a m o u n t o f l i q u i d
Milliseconds 81 97 105 133 247 98 33 69 250 103 98 87 177 150 0 486 84 133 268 110 184 77 93 423 143
Character p o u r e d i n t o i t ? W e s e e c h
Milliseconds 416 366 172 160 219 167 87 99 103 62 129 82 106 82 302 113 281 71 120 278 136 161 59 151 49
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 93 70 119 77 86 447 91 143 115 133 255 137 115 131 335 467 93 172 253 113 66 81 270 165 147
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 204 146 87 100 79 134 86 115 138 0 118 163 102 84 149 216 219 81 83 210 152 138 128 105 83
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 82 81 70 32 161 90 64 119 84 116 118 114 36 69 199 160 140 163 86 118 132 80 352 154 157
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 73 32 105 197 167 77 51 129 409 113 168 103 243 116 102 170 48 103 99 128 57 292 172 234 48
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 286 83 78 107 160 137 247 118 122 230 203 116 100 80 245 154 160 39 137 86 76 36 48 132 101
Character d m o e -e r e . I n t h i s s e c t i o n
Milliseconds 65 52 119 27 522 346 105 64 78 109 312 131 117 74 62 89 94 70 246 188 257 138 114 35 69
Character w e i n s -s t r o d u c e t h e i d e a s
Milliseconds 14 141 97 119 147 95 169 354 96 165 90 194 129 100 169 116 107 108 35 68 191 116 160 155 15
Character o f e v e -e -v -e a v e r a g e a n d i n s
Milliseconds 135 365 144 106 249 177 90 332 121 130 177 136 392 175 237 548 181 122 295 87 69 62 82 83 267
Character t a n a -a t a n e o u s r a t e s o f c h a
Milliseconds 170 112 106 210 386 73 130 196 436 350 97 154 266 667 116 99 114 145 108 116 397 135 245 72 80
Character n g e , a n d h -h s h o w t h a t t h e y
Milliseconds 83 71 84 133 120 105 95 47 65 156 310 112 73 86 64 63 182 104 29 66 17 204 49 135 52
Character a r e c l o s e l y r e l a t e d t o t
Milliseconds 109 74 129 15 52 350 87 151 81 432 137 185 116 162 77 127 122 129 141 166 84 115 71 153 18
Character h e s l o e p - -p p -p -e p e o f a c u r
Milliseconds 133 82 61 253 101 138 108 117 168 219 164 251 404 146 232 98 138 99 150 532 107 146 166 70 124
Character v e a t a p o i n t P o n t h e u -u
Milliseconds 235 87 53 143 355 112 1853 263 236 199 87 95 99 35 333 136 127 119 87 116 81 41 47 395 331
Character v u r -r -u -v c u r v e . W e g i v e p r o c
Milliseconds 136 130 149 225 163 118 98 118 88 193 100 145 120 269 141 92 339 48 131 21 67 181 133 96 166
Character -c -o e i -i c i d e -e -d s e c d -d d e v -v -e -d -c d
Milliseconds 352 148 301 233 302 111 73 132 180 387 166 83 50 263 583 0 404 95 142 160 247 136 235 167 246
Character e v e l o p m e n t s o f t h e r -r s e i m
Milliseconds 152 291 156 110 163 169 310 86 68 67 177 126 144 81 86 268 26 121 74 212 586 81 95 240 125
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 83 143 81 163 115 71 67 86 298 77 42 133 196 68 117 165 98 81 91 97 102 96 32 52 157
Character e x - t c h a p t e r , b u t f o r n o
Milliseconds 61 219 164 447 90 111 190 91 91 78 131 150 67 143 163 407 105 107 10 183 113 57 99 101 93
Character w w e u s e a n i n f o r m a l a p p r
Milliseconds 53 101 165 70 99 148 90 43 105 145 129 242 132 66 98 84 100 87 116 135 108 377 93 130 275
Character o a c h s o y o u w i l l s e e h o e -e
Milliseconds 84 47 204 106 105 231 88 400 246 148 29 91 95 132 160 143 34 136 151 165 102 194 89 800 529
Character g -g h -h w t h e y l e a d n a t u r a l l y
Milliseconds 456 245 183 283 104 177 453 202 129 69 117 233 106 92 118 99 184 90 124 105 116 116 85 159 134
Character t o t h e m a i n i d a -a e a o f t h
Milliseconds 167 140 83 98 100 88 75 20 166 70 79 82 85 155 61 207 361 235 81 148 136 97 86 104 80
Character i s c h a p t e r , t h e l i m i t . T h
Milliseconds 37 79 68 249 16 138 64 448 153 65 135 130 196 107 11 116 266 57 166 493 156 163 119 216 114
Character e i d e a o f a l i m t i - -i i -i -t i t
Milliseconds 31 74 118 82 170 60 89 80 99 80 200 233 172 86 176 116 71 95 368 168 413 248 153 239 163
Character p l a y s a f o n d a -a -d -n u n d a t i o n
Milliseconds 202 127 194 106 71 101 86 184 383 364 67 164 117 112 322 135 129 304 153 94 108 91 83 55 76
Character a l r o l i -i - -l l e r h g o u -u -o -g -h -r t
Milliseconds 150 122 122 151 124 153 102 148 316 212 333 608 99 333 403 77 131 52 83 324 158 121 112 149 232
Character h r o u g h b o u t -t -u -o f -f -b o u t a -a c a l
Milliseconds 75 129 67 85 103 63 232 117 79 122 194 155 102 87 65 397 249 83 102 67 328 254 93 137 97
Character c u l u a . -. -a s .
Milliseconds 336 103 148 197 175 210 384 133 86 133
WPM Timing
Seconds WPM
3.06 7.85
6.12 31.38
9.18 41.85
12.24 55.9
15.29 51.78
18.35 52.31
21.41 58.29
24.47 60.81
27.53 63.2
30.59 67.48
33.65 70.61
36.71 70.61
39.77 70.01
42.82 70.61
45.88 69.83
48.94 71.6
52 71.08
55.06 72.14
58.12 74.12
61.18 74.54
64.24 74.91
67.29 75.07
70.35 75.56
73.41 75.52
76.47 74.54
79.53 73.63
82.59 73.96
85.65 74.54
88.71 74.94
91.77 73.75
94.82 72.39
97.88 72.09
100.94 71.92
104 70.5
107.06 69.16
110.12 69.09
113.18 70.19
116.24 70.41
119.3 71.12
122.35 71.4
125.41 70.04
128.47 70.33
131.53 70.98
134.59 71.06
137.65 71.05
140.71 70.61
143.77 70.2
146.83 68.98
149.88 68.37
152.94 67.79