pissnugget (pissnugget)

Race #1779

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Official speed 83.28 wpm (124.50 seconds elapsed during race)
Without ending ping 83.48 wpm (306 ms delay sending score to TypeRacer’s server)
Timerless 83.66 wpm (253 ms elapsed before first character typed; 123.94 seconds elapsed during race)
Timerless minus one 83.56 wpm, ignoring the first character typed
Race Start September 20, 2023 8:48:19pm UTC
Race Finish September 20, 2023 8:50:24pm UTC
Outcome No win (3 of 5)
Opponents 1. jcup (108.76 wpm)
2. avoh0 (93.94 wpm)
4. samur_e9 (72.48 wpm)
Accuracy 96.3%
Points 224.86
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 to;l ol that helps us understand how a change in ioone quantity is reallated to a change in antother. How does the speed of a falling objheect changee as as a function of time ? HOwow does the level of watear r in a ababattereerel change as a function of the amount of liquiedd puooluured into it? We see change occurinring in nearly everything we observe in the world and universe, and powerful modern uninstruements help us see more and more. In this section we introduce the ideas of aversage and instantaneous rates of change, and show that they are closely related to the slpe ope of a cruve urve at a nighpont ioihnt P on the curve. WE e give precide se vedevelopments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead neauatyurally to tehhe main idea of this cahhapter, the limmit; . The idea of a limit plays a foundational role throughout claacllculus.
Timing
Character C a l c u l u s i s a t o ; l - -l -; o l
Milliseconds 253 112 159 216 121 128 120 128 96 120 56 71 113 64 136 119 242 17 111 296 104 112 184 144 64
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 103 98 71 22 74 80 104 87 65 120 88 112 80 104 88 152 72 136 64 135 65 65 111 96 55
Character h o w a c h a n g e i n i o -o -i o n e q
Milliseconds 65 46 59 79 80 88 192 152 103 113 152 72 111 65 55 97 104 46 266 96 313 71 95 34 191
Character u a n t i t y i s r e a l -l -a l a t e d t o
Milliseconds 78 130 424 319 105 87 121 120 184 80 64 192 96 102 82 328 120 184 144 134 138 176 54 114 120
Character a c h a n g e i n a n t -t o t h e r . H
Milliseconds 79 17 152 616 111 81 104 78 74 94 81 73 88 15 153 136 408 175 105 96 80 40 73 111 240
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 55 201 120 128 54 122 80 38 395 95 80 32 120 88 96 145 151 55 81 81 63 63 97 288 80
Character l l i n g o b j h e -e -h e c t c h a n g e e
Milliseconds 88 136 104 96 62 57 66 103 152 6 82 280 104 353 136 167 72 160 104 88 95 80 81 169 21
Character a s - -s -a - -e a s a f u n c t i o n o f
Milliseconds 82 128 63 201 128 120 120 128 88 63 161 47 137 113 231 31 177 152 168 56 54 82 142 154 112
Character t i m e - ? H O w -w -O o w d o e s t h e
Milliseconds 64 160 62 74 72 352 368 240 144 264 32 232 224 104 175 81 80 88 96 72 57 61 74 104 47
Character l e v e l o f w a t e a r - -r -a r i n
Milliseconds 73 80 47 137 41 175 104 152 112 104 64 88 55 89 14 66 113 271 120 136 96 72 128 64 120
Character a a b a -a -b -a b a t t e -e -t -t r e e -e -e r e l
Milliseconds 14 130 16 192 144 168 120 120 184 200 216 160 88 216 120 120 96 144 120 256 112 79 73 120 120
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 296 127 89 104 55 81 152 119 162 136 54 65 473 95 145 103 153 7 48 87 153 162 70 64 112
Character h e a m o u n t o f l i q u i e d -d -e d p
Milliseconds 88 81 48 112 87 65 136 144 95 47 81 64 63 137 193 143 160 97 271 184 216 112 145 62 65
Character u o -o -u o l u -u -l u r e d i n t o i t ? W e
Milliseconds 136 7 384 137 194 5 73 337 110 144 131 102 201 72 95 57 88 94 91 102 73 263 97 159 97
Character s e e c h a n g e o c c u r i n -n -i r i n g
Milliseconds 151 192 121 167 55 145 112 88 96 89 70 106 151 168 128 104 113 78 82 224 95 129 87 58 87
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 80 96 55 104 168 57 80 63 73 95 80 64 120 72 97 70 169 56 55 97 32 80 224 40 95
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 113 178 400 53 225 215 57 55 97 55 89 88 88 25 94 89 104 88 104 64 73 71 96 89 54
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 227 150 88 256 161 160 87 80 143 122 79 104 120 65 192 112 176 14 113 256 80 89 120 183 120
Character d e r n u n -n -u i n s t r u e -e m e n t s h e
Milliseconds 130 126 376 808 96 152 120 280 111 146 72 168 87 136 105 175 216 145 80 120 87 89 112 102 98
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 88 95 152 160 98 87 97 63 153 69 73 88 40 64 47 97 105 79 41 127 7 105 65 168 104
Character I n t h i s s e c t i o n w e i n t r o d
Milliseconds 176 87 128 130 47 424 87 64 120 152 168 199 106 6 82 223 232 80 73 206 81 97 400 103 113
Character u c e t h e i d e a s o f a v e r s -s a g
Milliseconds 119 111 65 89 95 96 64 55 90 47 154 110 127 131 126 106 519 88 224 128 72 143 353 72 62
Character e a n d i n s t a n t a n e o u s r a t e s
Milliseconds 91 94 88 113 72 54 81 97 263 128 104 112 136 296 120 242 94 88 88 112 152 121 160 104 71
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 105 87 105 40 136 144 71 121 54 81 81 152 54 137 158 25 289 47 57 88 88 153 79 80 97
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 80 110 97 96 65 80 54 56 90 47 121 62 145 15 56 122 119 153 400 63 184 96 80 104 192
Character t o t h e s l p e - -e -p o p e o f a
Milliseconds 47 97 88 76 116 87 82 64 104 54 121 145 80 256 111 129 184 103 137 71 159 82 80 46 90
Character c r u v e - -e -v -u -r u r v e a t a n i g h
Milliseconds 112 182 122 71 72 48 145 112 143 121 127 168 104 176 65 95 64 233 80 95 137 215 88 80 112
Character -h -g -i -n p o n t - -t -n -o i -i o i h -h n t P o
Milliseconds 217 110 129 111 193 25 183 137 54 281 120 128 112 200 265 208 95 48 369 167 81 86 209 153 167
Character n t h e c u r v e . W E - -E e g i v e
Milliseconds 95 97 112 80 95 24 177 97 72 184 79 153 95 225 64 200 279 105 79 57 143 88 104 47 34
Character p r e c i d e - -e -d s e v e -e -v d e v e l o p
Milliseconds 118 89 72 176 168 112 145 72 288 119 135 90 47 104 169 71 192 113 79 160 129 111 64 129 280
Character m e n t s o f t h e s e i m p o r t a n t
Milliseconds 327 80 120 64 81 96 79 105 22 113 88 47 121 64 55 154 192 40 143 112 144 96 97 103 80
Character c o n c e p t s i n t h e n e x t c h a p
Milliseconds 160 63 81 225 104 279 145 127 377 88 63 72 104 105 95 89 208 102 177 104 64 185 63 80 89
Character t e r , b u t f o r n o w w e u s e a
Milliseconds 80 88 103 96 88 119 154 62 24 137 80 80 55 49 32 72 81 111 63 97 129 47 55 98 135
Character n i n f o r m a l a p p r o a c h s o y o
Milliseconds 121 311 120 47 137 105 184 103 113 79 96 129 80 127 442 110 89 95 121 80 327 112 105 176 95
Character u w i l l s e e h o w t h e y l e a d
Milliseconds 72 112 105 200 263 128 96 88 81 135 95 121 63 82 47 96 80 104 48 168 64 81 71 96 80
Character n e a u -u -a -e a t y -y u r a l l y t o t e h -h
Milliseconds 55 65 55 313 152 113 112 110 90 22 498 176 95 96 88 142 98 104 104 64 96 104 113 39 376
Character -e h e m a i n i d e a o f t h i s c a h
Milliseconds 112 184 112 47 145 128 80 80 72 96 112 152 32 54 130 97 39 113 96 127 128 64 136 80 287
Character -h -a h a p t e r , t h e l i m -m m i t ; - -;
Milliseconds 233 104 136 80 104 121 111 64 104 106 94 111 105 96 47 24 122 222 569 97 112 191 88 329 103
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 184 105 175 168 112 72 120 48 152 383 121 169 71 96 33 111 137 72 151 112 129 62 48 129 72
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 120 160 104 97 79 376 80 25 167 104 72 264 112 23 96 217 120 79 146 71 152 80 49 126 473
Character r o u g h o u t c l a -a -l a c l -l -c l c u l u s
Milliseconds 185 80 54 114 87 120 72 88 72 113 118 97 328 105 54 249 88 463 112 209 177 215 152 224 208
Character .
Milliseconds 88
WPM Timing
Seconds WPM
2.49 77.11
4.98 89.16
7.47 96.39
9.96 90.36
12.45 85.79
14.94 85.95
17.43 88.13
19.92 87.35
22.41 84.61
24.9 84.34
27.39 84.12
29.88 84.34
32.37 78.96
34.86 78.83
37.35 81.93
39.84 79.22
42.33 79.38
44.82 79.52
47.31 82.18
49.8 83.62
52.29 84.23
54.78 83.03
57.27 82.14
59.76 84.14
62.25 84.24
64.74 85.08
67.23 84.79
69.72 84.86
72.21 85.92
74.7 86.91
77.19 86.59
79.68 85.7
82.17 83.83
84.66 82.92
87.15 83.03
89.64 81.93
92.13 82.58
94.62 82.69
97.11 83.66
99.6 84.46
102.09 84.63
104.58 85.37
107.07 84.62
109.56 84.78
112.05 84.82
114.54 83.82
117.03 84.19
119.52 84.44
122.01 84.29
124.5 83.28