Andee (andeetypes)

Race #1508

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Official speed 92.87 wpm (111.64 seconds elapsed during race)
Without ending ping 93.14 wpm (327 ms delay sending score to TypeRacer’s server)
Timerless 93.63 wpm (579 ms elapsed before first character typed; 110.73 seconds elapsed during race)
Timerless minus one 93.52 wpm, ignoring the first character typed
Race Start October 4, 2023 3:11:59pm UTC
Race Finish October 4, 2023 3:13:50pm UTC
Outcome No win (3 of 4)
Opponents 1. nickbiiy (108.02 wpm)
4. amiteshore (90.15 wpm)
Accuracy 97.6%
Points 250.76
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 calCalculus is a tool that helps us understand how a change in one quantity is related to a change in another. how How does the speed of a falling object changge e as a function of time? How does the level of water ina a barrel change as a function of the amount of liquid poiured into it? We see chang e e cococcurring in nearly everything we obeserhve in the world and unsiivers, and e, and powerful modenr rn instruments help us see more and more. in tIn this esection we introduce the ideas of average sand instantaneous rates of change, and hsshow 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 offor now we use an informal approach so you will se howe how they lead natuarally to the main idea of this chapter, the limit. The idea of a limit plays a foundation aal role througouhout calculus.
Timing
Character c a l -l -a -c C a l c u l u s i s a t o o l
Milliseconds 579 202 184 314 139 141 140 109 171 159 108 157 107 141 108 96 92 63 110 63 171 61 157 157 18
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 105 79 30 93 78 109 60 124 93 124 61 79 155 78 111 186 15 156 79 125 79 77 93 95 63
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 78 63 47 94 95 62 109 77 63 108 110 48 77 50 106 47 308 79 123 77 391 78 140 62 111
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 62 107 110 154 94 80 93 186 78 110 111 108 156 202 76 126 77 63 171 78 139 93 63 124 78
Character e i n a n o t h e r . h o w - -w -o -h H o w
Milliseconds 63 63 48 106 47 234 203 93 63 141 62 96 127 63 155 77 78 95 266 138 143 107 143 80 45
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 138 124 96 123 80 14 78 77 78 124 139 95 77 172 143 78 140 185 0 190 60 620 78 78 156
Character i n g o b j e c t c h a n g g e - -e -g e a
Milliseconds 94 46 62 92 125 409 123 79 172 77 111 248 92 47 125 79 155 46 172 233 139 119 54 76 93
Character s a f u n c t i o n o f t i m e ? H o w
Milliseconds 76 92 92 79 93 95 62 78 62 78 46 16 121 109 63 109 109 78 64 45 424 78 280 157 79
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 47 171 63 138 46 61 185 109 92 62 109 64 125 78 49 108 173 154 77 94 95 107 157 78 78
Character i n a - - - -a a b a r r e l c h a n g
Milliseconds 47 141 139 17 184 313 126 91 312 140 47 141 62 234 126 185 190 107 76 93 236 93 31 128 62
Character e a s a f u n c t i o n o f t h e a m
Milliseconds 78 76 93 126 78 95 92 141 109 63 62 50 91 15 78 78 79 92 94 78 77 36 122 127 60
Character o u n t o f l i q u i d p o i -i u r e d i
Milliseconds 80 215 63 93 62 93 77 93 93 142 185 110 77 173 91 155 64 63 316 282 95 235 188 47 63
Character n t o i t ? W e s e e c h a n g e - -e
Milliseconds 64 63 140 107 170 77 326 62 606 281 234 122 125 157 77 78 48 92 125 76 80 0 173 310 138
Character - e c o -o -c c -c o c c u r r i n g i n n e a
Milliseconds 157 92 93 124 63 355 126 235 357 218 46 155 92 109 184 125 46 63 64 139 77 77 203 95 110
Character r l y e v e r y t h i n g w e o b e -e s e r
Milliseconds 76 109 125 108 78 109 78 50 75 141 78 63 107 47 47 157 60 93 202 282 220 296 48 45 47
Character h -h v e i n t h e w o r l d a n d u n s
Milliseconds 280 340 96 62 90 108 82 44 31 128 45 93 94 62 125 78 77 62 111 92 77 64 156 61 187
Character i -i -s i v e r s , a n d - -d -n -a - -, e , a n
Milliseconds 15 331 121 169 63 93 76 140 110 48 107 109 48 109 264 138 124 142 127 124 79 123 75 111 155
Character d p o w e r f u l m o d e n r - -r -n r n i
Milliseconds 62 124 202 47 109 62 62 233 78 124 47 188 46 94 173 92 62 125 217 139 126 123 93 62 109
Character n s t r u m e n t s h e l p u s s e e m o
Milliseconds 110 46 124 169 48 140 78 109 30 142 63 111 108 62 109 16 218 109 76 264 48 216 125 63 78
Character r e a n d m o r e . i n t -t - -n -i I n t
Milliseconds 90 172 155 125 93 78 80 111 30 78 77 139 62 142 106 112 123 232 139 124 125 176 121 138 31
Character h i s e -e s e c t i o n w e i n t r o d u c
Milliseconds 174 92 144 150 125 358 95 46 94 77 109 30 65 107 125 77 111 204 63 112 220 107 343 77 126
Character e t h e i d e a s o f a v e r a g e s -s
Milliseconds 47 48 108 63 78 77 61 128 141 76 109 95 81 107 62 220 204 77 62 189 109 94 62 157 389
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 62 172 31 94 124 62 79 94 109 126 139 124 141 124 204 65 108 109 187 63 124 80 154 126 125
Character f c h a n g e , a n d h s -s -h s h o w t h
Milliseconds 80 78 215 109 0 186 92 77 64 63 92 78 79 93 156 78 248 279 158 76 64 125 77 313 78
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 47 77 60 94 63 78 80 91 78 79 61 63 170 61 142 15 64 155 156 124 139 48 186 78 110
Character e d t o t h e s l o p e o f a c u r v
Milliseconds 157 155 48 155 47 76 80 46 92 47 185 78 187 139 141 185 109 93 77 61 124 94 139 79 202
Character e a t a p o i n t P o n t h e c u r
Milliseconds 63 94 94 155 95 434 141 194 25 124 94 30 141 218 125 189 62 93 31 76 108 51 153 110 64
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 249 94 111 46 248 63 217 251 64 534 63 155 215 46 79 204 109 107 50 107 141 265 123 80 91
Character o p m e n t s o f t h e s e i m p o r t a n
Milliseconds 156 62 203 49 123 29 126 93 76 96 64 76 77 62 156 93 203 341 63 202 158 94 217 79 140
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 79 153 283 59 92 128 64 125 124 125 46 94 95 64 49 107 91 78 155 62 217 93 125 249 79
Character a p t e r , b u t o f -f -o f o r n o w w e
Milliseconds 75 62 124 154 108 47 48 187 76 93 17 201 47 328 124 30 156 29 91 93 80 61 123 126 92
Character u s e a n i n f o r m a l a p p r o a c h
Milliseconds 109 155 78 77 47 124 109 108 215 31 110 124 94 78 92 140 140 233 93 142 187 109 92 172 93
Character s o y o u w i l l s e h o w -w -o -h - e
Milliseconds 79 171 48 80 172 64 47 63 168 78 153 127 47 94 63 126 262 78 61 217 139 125 125 46 46
Character h o w t h e y l e a d n a t u a -a r a l l y
Milliseconds 125 109 47 109 139 109 111 104 80 252 45 123 63 77 63 77 108 155 156 358 93 62 93 154 123
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 93 93 79 78 47 76 64 92 62 78 94 31 124 108 78 139 110 107 111 123 109 94 77 113 91
Character c h a p t e r , t h e l i m i t . T h e
Milliseconds 126 264 95 62 124 94 186 63 93 31 93 63 91 63 63 110 108 109 62 126 77 140 94 109 94
Character i d e a o f a l i m i t p l a y s a f
Milliseconds 78 93 171 61 108 140 46 112 124 77 94 78 140 109 78 96 155 18 92 109 171 94 77 94 63
Character o u n d a t i o n a -a - a l r o l e t h r o
Milliseconds 64 183 32 93 92 142 76 0 78 201 140 202 372 94 124 75 309 76 157 15 127 107 64 122 63
Character u g o u -u -o h o u t c a l c u l u s .
Milliseconds 62 126 172 107 262 139 141 62 107 124 109 156 46 108 109 140 126 141 141 79
WPM Timing
Seconds WPM
2.23 21.5
4.47 72.55
6.7 91.37
8.93 95.4
11.16 96.74
13.4 96.74
15.63 95.97
17.86 94.72
20.1 90.77
22.33 94.05
24.56 95.76
26.79 92.71
29.03 92.61
31.26 95.97
33.49 94.95
35.72 93.72
37.96 91.68
40.19 88.68
42.42 90.8
44.66 89.22
46.89 90.34
49.12 87.7
51.35 88.33
53.59 88.23
55.82 88.79
58.05 87.64
60.29 87.98
62.52 88.68
64.75 88.59
66.98 89.04
69.22 88.76
71.45 89.85
73.68 90.39
75.92 90.42
78.15 90.9
80.38 90.47
82.61 90.93
84.85 90.94
87.08 91.37
89.31 91.23
91.54 92.02
93.78 92.13
96.01 91.49
98.24 91.49
100.48 92.32
102.71 92.88
104.94 93.42
107.17 93.6
109.41 93.23
111.64 92.87