Im-a-loser (rowdy_burns)

Race #1471

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Official speed 83.41 wpm (124.30 seconds elapsed during race)
Without ending ping 83.49 wpm (124 ms delay sending score to TypeRacer’s server)
Timerless 83.65 wpm (234 ms elapsed before first character typed; 123.94 seconds elapsed during race)
Timerless minus one 83.55 wpm, ignoring the first character typed
Race Start November 5, 2023 4:36:34am UTC
Race Finish November 5, 2023 4:38:38am UTC
Outcome No win (3 of 5)
Opponents 1. itsalwaysahmed (84.46 wpm)
5. ganesh2 (78.55 wpm)
Accuracy 98.0%
Points 225.21
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 us understand how a change in one quantity is realtelated 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 aomount of liquid poured into it? wWe see change occurring in a nnearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we intoruroduce th ei id e ideas of average and instanteaneous rates of change, and show that they are closely related to teh slhe slope of a curve at a point P on the curve. We give prciecise developments of these important concepts in the next cahhapter, but for now we use an informal papapporoach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundation al role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 234 374 186 280 155 184 185 142 62 188 173 77 138 77 170 62 155 219 108 190 94 31 109 49 187
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 109 123 359 187 62 188 141 48 218 172 79 218 15 173 141 47 109 141 31 187 94 47 77 124 79
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 155 47 79 108 78 79 94 156 76 48 169 265 109 94 308 108 123 172 216 109 110 111 79 203 93
Character r e a l t e -e -t -l -a l a t e d t o a c h a
Milliseconds 69 402 76 110 0 202 62 250 158 137 155 157 47 79 79 140 61 155 31 110 107 127 78 109 62
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 126 78 64 61 140 62 48 122 93 94 80 108 62 65 91 110 219 77 108 95 186 79 124 62 80
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 172 77 62 47 154 92 115 153 235 157 170 201 109 109 94 141 142 141 125 155 93 63 47 202 155
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 142 122 109 233 140 203 76 95 94 94 84 413 171 138 32 172 48 155 94 170 78 235 31 47 77
Character o f t i m e ? H o w d o e s t h e l e
Milliseconds 62 123 47 92 155 30 77 62 233 80 279 172 125 93 126 78 124 78 47 189 46 93 32 298 108
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 140 93 48 93 157 95 46 142 92 78 79 79 154 420 92 76 296 124 125 218 219 171 110 207 125
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 330 61 124 77 77 78 78 110 125 15 170 47 156 78 172 78 203 46 16 93 77 140 159 62 170
Character h e a o -o m o u n t o f l i q u i d p o u
Milliseconds 79 94 78 453 203 479 157 79 157 172 31 108 140 109 62 221 171 141 170 93 141 93 156 191 94
Character r e d i n t o i t ? w -w W e s e e c h a
Milliseconds 76 92 174 31 125 92 78 111 93 389 79 222 122 442 466 277 234 157 137 157 172 108 172 95 94
Character n g e o c c u r r i n g i n a n -n - -a n e
Milliseconds 77 95 46 47 220 142 203 252 170 157 110 63 78 61 110 31 94 77 157 188 238 140 140 142 60
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 78 49 92 201 94 190 140 93 158 188 79 109 108 109 63 63 186 124 46 187 93 203 140 62 188
Character e i n t h e w o r l d a n d u n i v e r
Milliseconds 171 465 201 64 109 125 123 47 30 173 76 93 108 77 62 219 91 94 46 203 200 63 126 179 184
Character s e , a n d p o w e r f u l m o d e r n i
Milliseconds 124 125 671 232 251 142 62 91 278 171 16 48 62 169 143 231 111 217 141 65 188 47 62 79 125
Character n s t r u m e n t s h e l p u s s e e m o
Milliseconds 92 77 63 186 75 220 94 109 31 124 31 219 107 94 156 94 190 78 107 483 203 154 94 124 63
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 405 140 127 152 94 63 61 190 16 80 78 386 81 232 157 140 158 60 76 31 78 111 171 142 203
Character i o n w e i n t o r u -u -r -o r o d u c e t h
Milliseconds 78 17 63 64 201 79 107 344 95 115 165 0 265 282 153 309 141 340 221 139 98 106 154 156 95
Character e i -i -e - i d -d -i - - e i d e a s o f
Milliseconds 110 17 309 204 155 155 125 279 62 236 125 168 124 499 126 107 234 158 173 78 94 60 142 109 78
Character a v e r a g e a n d i n s t a n t e -e a n e o
Milliseconds 188 403 143 61 125 94 80 64 128 109 79 47 172 78 77 108 107 111 80 234 346 92 95 280 139
Character u s r a t e s o f c h a n g e , a n d s
Milliseconds 92 66 62 146 108 153 63 109 31 171 107 31 171 79 62 235 342 78 124 78 247 112 91 49 172
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 93 93 47 76 345 45 170 79 157 172 65 92 80 78 63 61 64 46 170 63 174 31 405 140 202
Character r e l a t e d t o t e h s l -l -s - -h -e h e
Milliseconds 92 110 63 92 125 95 63 124 78 170 32 106 143 93 0 63 157 61 330 154 140 143 455 203 78
Character s l o p e o f a c u r v e a t a p o
Milliseconds 47 203 79 189 155 156 79 130 137 47 124 77 110 124 78 376 137 62 171 188 157 110 92 265 297
Character i n t P o n t h e c u r v e . W e g i
Milliseconds 78 78 46 93 407 218 203 62 112 201 81 31 61 423 94 127 265 127 140 155 234 186 124 156 126
Character v e p r c i -i -c e c i s e d e v e l o p m e n
Milliseconds 78 94 46 248 109 329 125 440 172 126 235 125 94 76 95 248 172 202 99 135 204 139 171 109 110
Character t s o f t h e s e i m p o r t a n t c o n
Milliseconds 46 108 47 140 92 46 154 62 17 110 94 46 156 94 78 94 154 189 155 110 64 46 172 30 78
Character c e p t s i n t h e n e x t c a h -h -a h a
Milliseconds 155 216 139 188 95 78 124 66 73 170 65 16 78 249 63 359 190 93 186 218 284 203 140 95 141
Character p t e r , b u t f o r n o w w e u s e
Milliseconds 76 388 141 62 265 78 155 78 126 62 142 95 184 158 109 93 31 61 141 94 78 374 47 108 45
Character a n i n f o r m a l p a p -p -a -p a p p o -o r o
Milliseconds 139 62 62 124 63 93 109 109 64 154 420 122 188 109 175 266 141 142 109 141 140 202 345 92 108
Character a c h s o y o u w i l l s e e h o w t
Milliseconds 47 171 170 94 141 79 123 156 109 95 65 155 79 173 139 32 202 202 155 60 159 125 62 61 279
Character h e y l e a d n a t u r a l l y t o t h e
Milliseconds 78 94 108 78 139 109 94 79 64 153 78 169 204 94 79 78 153 187 110 233 110 109 94 108 64
Character m a i n i d e a o f t h i s c h a p t e
Milliseconds 77 218 170 109 126 202 266 94 169 109 63 172 62 76 126 64 78 46 48 155 422 171 170 143 109
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 63 76 77 171 62 79 44 172 142 92 108 108 141 98 230 153 110 46 174 78 171 187 109 157 94
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 107 108 93 109 154 64 141 140 108 157 189 93 173 157 93 94 141 453 109 78 159 63 108 76 61
Character o n - a l r o l e t h r o u g h o u t c a
Milliseconds 32 94 158 358 124 127 92 234 125 170 80 171 157 77 94 62 77 63 92 235 109 78 79 249 140
Character l c u l u s .
Milliseconds 78 126 187 203 217 480 141
WPM Timing
Seconds WPM
2.49 67.58
4.97 74.82
7.46 86.89
9.94 88.09
12.43 81.09
14.92 88.49
17.4 89.64
19.89 89.9
22.37 91.71
24.86 92.2
27.35 92.59
29.83 92.52
32.32 91.34
34.8 90.68
37.29 89.46
39.78 88.39
42.26 86.89
44.75 87.96
47.23 87.9
49.72 86.89
52.21 86.89
54.69 87.98
57.18 87.52
59.66 87.89
62.15 85.73
64.64 83.73
67.12 82.77
69.61 82.92
72.09 83.39
74.58 83.51
77.07 84.39
79.55 82.96
82.04 83.23
84.53 82.91
87.01 82.75
89.5 81.92
91.98 82.58
94.47 83.2
96.96 82.43
99.44 82.78
101.93 82.88
104.41 81.94
106.9 82.28
109.39 82.72
111.87 82.92
114.36 83.32
116.84 83.6
119.33 83.57
121.82 83.73
124.3 83.41