bastro (bastro2)

Race #1194

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Official speed 98.18 wpm (105.60 seconds elapsed during race)
Without ending ping 98.28 wpm (105 ms delay sending score to TypeRacer’s server)
Timerless 98.48 wpm (218 ms elapsed before first character typed; 105.28 seconds elapsed during race)
Timerless minus one 98.37 wpm, ignoring the first character typed
Race Start April 10, 2024 7:11:57am UTC
Race Finish April 10, 2024 7:13:43am UTC
Outcome No win (2 of 3)
Opponents 1. zllee (110.72 wpm)
3. sabari314 (90.38 wpm)
Accuracy 97.8%
Points 265.09
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 tois a tool that helps us understnad and how a change in one quannitttity is realtelated to a change in another. How does the speed of a falling objecft t change as a fcuunction of time? How doest th the level of water in a barrel change as a fcunction of the amounbt ot nt of liquid poured into it? We see change occuringring in nearly everything we observe in the world and universe,k a and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instanteaneous rates of change, and show that they are closely raelated to the slop of e of a curve at a point P on the vurcurve. We gievve 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.
Timing
Character C a l c u l u s t o -o -t i s a t o o l t h
Milliseconds 218 155 94 170 78 81 233 110 92 109 92 250 125 173 95 63 95 63 79 78 140 170 109 78 110
Character a t h e l p s u s u n d e r s t n a d - -d
Milliseconds 0 92 45 95 112 78 77 63 92 123 63 47 157 156 93 173 63 141 142 173 93 139 79 236 125
Character -a -n a n d h o w a c h a n g e i n o n e
Milliseconds 142 123 111 111 79 63 78 79 63 62 125 94 428 124 94 109 16 94 62 94 63 48 124 94 63
Character q u a n n i t t -t -t -i -n t i t y i s r e a l
Milliseconds 62 125 94 140 112 154 15 125 155 219 140 139 142 173 107 108 124 77 158 62 77 142 63 78 15
Character t e -e -t -l -a l a t e d t o a c h a n g e i
Milliseconds 157 80 221 157 126 139 171 111 76 92 127 78 109 63 63 125 110 110 112 77 77 126 109 111 154
Character n a n o t h e r . H o w d o e s t h e s
Milliseconds 62 94 79 109 65 45 142 49 60 110 78 174 79 108 64 124 110 64 63 94 94 140 80 78 93
Character p e e d o f a f a l l i n g o b j e c f t
Milliseconds 95 112 140 124 218 141 79 64 78 109 94 108 128 122 125 47 62 46 123 158 219 78 93 15 140
Character - -t -f t c h a n g e a s a f c u -u -c u n
Milliseconds 80 423 143 126 122 47 172 138 361 109 80 78 77 140 108 78 96 61 160 233 79 265 155 267 188
Character c t i o n o f t i m e ? H o w d o e s t
Milliseconds 80 171 47 47 62 63 126 63 76 187 62 48 94 188 173 409 140 79 111 109 78 125 63 171 16
Character t h -h -t - -t t h e l e v e l o f w a t e r
Milliseconds 173 17 329 111 155 126 126 328 93 94 48 95 80 93 94 32 93 141 62 48 126 48 93 153 30
Character i n a b a r r e l c h a n g e a s a
Milliseconds 94 126 95 48 94 79 124 217 110 158 126 111 123 173 96 78 156 125 80 93 125 111 47 173 172
Character f c -c u n c t i o n o f t h e a m o u n b t
Milliseconds 172 143 362 220 171 95 170 32 62 48 94 109 108 31 126 93 46 95 77 78 109 124 141 15 92
Character o -o - -t -b -n t - -t n t o f l i q u i d p
Milliseconds 47 94 297 157 141 141 128 47 94 315 144 201 60 63 125 78 45 123 77 110 138 80 15 110 125
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 91 94 78 158 171 46 94 34 93 62 95 156 47 187 108 218 204 94 156 94 126 91 127 106 93
Character n g e o c c u r i n g -g -n -i r i n g i n n e
Milliseconds 96 94 78 93 280 111 140 124 438 141 64 126 172 108 154 139 126 63 108 31 142 63 77 220 92
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 48 46 80 78 80 94 108 110 79 123 172 63 110 93 62 63 124 48 95 188 125 125 48 78 174
Character e i n t h e w o r l d a n d u n i v e r
Milliseconds 63 79 109 111 32 62 142 47 93 95 125 111 48 189 109 141 95 80 63 108 143 78 66 166 95
Character s e , k a -a - -k a n d p o w e r f u l m o
Milliseconds 47 93 263 17 93 109 265 140 141 249 111 110 46 96 77 46 124 46 47 154 80 62 94 124 64
Character d e r n i n s t r u m e n t s h e l p u s
Milliseconds 63 139 61 93 47 205 78 62 45 158 94 171 95 109 32 93 79 110 202 65 94 94 123 80 80
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 159 89 156 47 94 79 15 64 79 76 125 46 76 94 94 15 62 124 94 299 233 78 92 94 79
Character s s e c t i o n w e i n t r o d u c e t h
Milliseconds 49 78 123 110 127 220 78 49 77 48 126 78 94 157 46 96 156 79 138 110 93 78 63 107 96
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 77 78 139 63 141 62 189 111 123 79 96 218 127 188 63 155 78 92 112 94 124 62 47 124 64
Character s t a n t e -e a n e o u s r a t e s o f c h
Milliseconds 76 62 111 108 92 221 283 94 109 81 187 80 62 94 158 79 107 80 77 94 127 46 79 141 78
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 110 172 265 63 142 108 123 109 64 79 140 63 48 93 80 170 127 62 63 31 141 78 126 63 49
Character a r e c l o s e l y r a -a e l a t e d t o
Milliseconds 110 61 80 62 108 93 157 46 63 94 61 48 80 109 402 94 139 48 95 108 124 47 109 93 62
Character t h e s l o p o f - -f -o - e o f a c u
Milliseconds 80 91 77 78 63 95 204 78 125 156 62 78 251 142 140 156 79 61 125 79 80 79 93 95 140
Character r v e a t a p o i n t P o n t h e v
Milliseconds 142 283 78 61 185 109 109 407 107 126 64 62 109 33 93 250 330 202 78 109 95 93 93 47 219
Character u r -r -u -v c u r v e . W e g i e v -v -e v e p
Milliseconds 112 154 156 123 157 111 159 62 218 78 470 140 154 249 77 171 109 142 46 440 140 78 64 46 94
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 124 78 92 140 93 79 61 297 157 109 95 124 204 64 233 108 79 109 78 62 126 78 61 124 110
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 63 63 94 125 125 47 93 32 140 156 124 107 46 96 171 281 79 77 94 156 93 157 79 123 77
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 63 62 110 96 62 125 95 233 94 141 204 141 156 519 155 140 78 79 111 124 173 92 31 157 95
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 92 61 93 78 31 77 125 108 64 152 77 61 77 110 110 63 158 63 140 125 141 139 171 124 140
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 94 127 125 77 142 62 93 109 77 143 78 77 143 109 77 34 94 94 15 156 79 47 93 124 108
Character h o w t h e y l e a d n a t u r a l l y t
Milliseconds 109 77 79 111 127 93 109 62 62 76 96 46 140 94 94 78 62 109 78 78 63 140 63 77 79
Character o t h e m a i n i d e a o f t h i s c
Milliseconds 77 94 46 94 93 47 110 94 77 77 63 173 77 155 49 125 126 61 63 124 78 62 78 62 156
Character h a p t e r , t h e l i m i t . T h e i d
Milliseconds 111 124 95 78 141 62 47 63 140 77 95 48 93 110 93 139 109 125 49 156 94 94 46 109 62
Character e a o f a l i m i t p l a y s a f o u
Milliseconds 157 47 125 173 65 64 107 79 78 63 140 142 139 47 142 188 94 95 236 92 128 62 64 203 78
Character n d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 173 49 108 63 63 76 46 174 94 77 126 111 109 107 64 77 95 111 63 47 144 92 109 93 30
Character c a l c u l u s .
Milliseconds 95 140 77 80 126 108 62 251 96 156
WPM Timing
Seconds WPM
2.11 62.5
4.22 96.59
6.34 81.44
8.45 92.33
10.56 82.95
12.67 79.54
14.78 86.85
16.9 90.2
19.01 91.54
21.12 88.07
23.23 86.78
25.34 87.59
27.46 84.35
29.57 87.25
31.68 87.12
33.79 88.42
35.9 83.89
38.02 86.49
40.13 87.02
42.24 84.66
44.35 86.58
46.46 88.58
48.58 88.93
50.69 89.01
52.8 90.23
54.91 91.78
57.03 92.59
59.14 93.55
61.25 94.24
63.36 94.13
65.47 94.57
67.59 95.35
69.7 95.56
71.81 94.75
73.92 94.32
76.03 93.43
78.15 92.14
80.26 92.4
82.37 93.09
84.48 93.61
86.59 92.99
88.71 93.75
90.82 93.95
92.93 94.78
95.04 95.96
97.15 96.47
99.27 97.19
101.38 97.3
103.49 97.86
105.6 98.18