(altrocality)

Race #62597

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Official speed 150.89 wpm (68.71 seconds elapsed during race)
Without ending ping 151.79 wpm (330 ms delay sending score to TypeRacer’s server)
Timerless 152.33 wpm (242 ms elapsed before first character typed; 68.14 seconds elapsed during race)
Timerless minus one 152.16 wpm, ignoring the first character typed
Race Start August 7, 2024 12:41:57pm UTC
Race Finish August 7, 2024 12:43:06pm UTC
Outcome Win (1 of 4)
Opponents 2. jesterc (136.80 wpm)
Accuracy 98.8%
Points 407.39
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 ais a tool that help suelps 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 osas a function of the amount of liquid poured into it W?? we seeWe 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 intrtoducntroduce 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 thise ehese important concepts in the next chapter, but for now we use an informal approach so you wil sl 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 a -a i s a t o o l t h a t
Milliseconds 242 116 85 52 62 100 67 116 61 106 275 53 82 40 93 91 67 68 133 51 31 105 44 9 108
Character h e l p s u -e -l -p - -s -u e l p s u s u n d
Milliseconds 51 91 61 89 57 101 50 75 427 0 0 0 0 0 84 98 87 106 101 73 82 67 94 135 62
Character e r s t a n d h o w a c h a n g e i n o
Milliseconds 28 69 65 40 85 61 54 38 89 69 96 64 105 82 87 17 80 66 55 45 58 63 55 94 78
Character n e q u a n t i t y i s r e l a t e d t o
Milliseconds 101 53 79 68 65 85 39 44 100 56 129 64 88 49 64 84 65 143 17 98 99 85 65 49 66
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 79 116 83 77 75 36 118 61 34 69 34 100 52 64 64 100 67 43 47 60 72 43 109 93 87
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 61 72 53 30 69 62 74 51 23 82 38 114 56 144 52 63 103 35 117 81 116 33 83 94 125
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 65 101 65 19 71 103 91 17 72 62 7 150 58 69 89 56 36 54 71 44 107 75 91 42 101
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 69 36 61 40 61 50 47 121 33 54 93 56 83 68 104 56 106 85 84 28 83 48 33 70 55
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 81 29 58 44 82 68 95 69 68 49 72 62 52 80 72 76 66 52 72 62 54 78 92 76 34
Character a r r e l c h a n g e o s -s -o a s a f u n
Milliseconds 86 96 110 79 79 48 93 66 83 68 64 29 70 67 94 324 114 52 84 76 74 62 66 64 50
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 74 47 59 43 49 70 67 45 66 66 73 43 69 14 100 82 74 0 77 22 77 56 62 49 40
Character q u i d p o u r e d i n t o i t W -W ? -? -
Milliseconds 94 66 56 94 17 74 83 85 73 73 96 35 48 99 53 38 93 101 34 217 84 267 163 233 118
Character ? w e s e e $W -e - -s -e -e e s e e c h a n g
Milliseconds 166 59 109 65 40 83 51 147 346 0 0 0 0 0 84 69 87 108 137 58 58 35 97 75 63
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 31 62 69 57 131 62 99 121 91 99 46 14 88 49 61 99 74 44 58 73 42 76 24 99 86
Character r y t h i n g w e o b s e r v e i n t h e
Milliseconds 79 82 72 44 90 59 50 87 50 65 63 72 52 44 97 101 160 41 93 49 57 72 79 5 94
Character w o r l d a n d u n i v e r s e , a n d
Milliseconds 34 69 97 34 37 79 57 81 30 40 30 49 85 129 81 99 90 47 56 46 47 59 63 44 37
Character p o w e r f u l m o d e r n i n s t r u m e n
Milliseconds 34 78 52 100 68 66 83 43 105 68 85 73 93 63 72 31 97 68 60 68 90 84 86 90 80
Character t s h e l p u s s e e m o r e a n d m
Milliseconds 42 68 82 68 67 77 45 70 91 68 50 82 84 116 52 96 74 82 54 63 63 51 48 50 182
Character o r e . I n t h i s s e c t i o n w e i
Milliseconds 87 98 55 119 59 88 77 52 67 49 68 48 140 78 73 101 51 30 45 52 49 107 50 59 50
Character n t r t o d u c -n -t -r -t -o -d -u -c n t r o d u c e
Milliseconds 68 15 104 13 67 100 57 102 476 0 0 0 0 0 0 0 70 47 100 64 86 53 94 84 56
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 64 63 34 52 121 130 46 87 79 51 156 95 49 185 84 88 77 103 47 85 70 34 59 51 26
Character i n s t a n t a n e o u s r a t e s o f c h
Milliseconds 56 84 38 62 88 69 50 94 49 102 121 61 56 97 57 100 58 100 52 136 52 77 51 81 83
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 90 81 54 61 50 56 97 35 46 83 48 57 76 71 79 83 35 72 49 65 105 42 36 65 41
Character a r e c l o s e l y r e l a t e d t o t h
Milliseconds 40 67 90 63 23 57 83 77 81 64 61 67 50 68 89 70 106 70 82 65 84 76 74 268 65
Character e s l o p e o f a c u r v e a t a p
Milliseconds 70 39 80 128 15 101 49 58 94 105 77 90 101 49 98 71 165 54 80 76 52 68 64 92 18
Character o i n t P o n t h e c u r v e . W e g
Milliseconds 89 90 99 20 82 247 97 84 84 56 91 24 59 51 148 136 92 163 27 136 34 86 81 66 69
Character i v e p r e c i s e d e v e l o p m e n t s
Milliseconds 71 51 79 48 51 78 100 38 130 65 100 67 34 83 77 100 214 168 85 107 59 84 23 73 86
Character o f t h i s e e -h -i -s -e - -e h e s e i m p o
Milliseconds 83 108 100 49 67 0 84 84 81 76 259 0 0 0 0 0 33 49 85 52 47 61 81 108 51
Character r t a n t c o n c e p t s i n t h e n e x
Milliseconds 33 37 118 61 36 57 98 77 101 31 68 66 51 72 60 76 76 73 58 52 58 44 38 76 91
Character t c h a p t e r , b u t f o r n o w w e
Milliseconds 50 110 66 54 32 63 84 68 65 85 47 66 44 71 60 78 63 44 77 98 66 86 31 105 38
Character u s e a n i n f o r m a l a p p r o a c h
Milliseconds 50 50 90 68 81 56 51 71 43 74 60 73 222 57 111 117 58 58 92 141 72 113 76 16 50
Character s o y o u w i l s -s - l s e e h o w
Milliseconds 83 46 50 86 28 64 76 34 41 115 77 149 60 331 109 129 78 85 67 132 36 71 76 67 49
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 93 42 34 68 57 174 72 62 84 76 74 75 93 70 79 99 85 119 45 59 79 78 71 30 42
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 94 17 73 78 13 52 67 72 86 78 19 80 99 72 58 71 54 67 59 88 77 67 38 80 83
Character e r , t h e l i m i t . T h e i d e a o
Milliseconds 83 51 86 85 12 38 88 56 43 106 73 95 68 87 56 55 134 53 48 88 111 42 58 65 86
Character f a l i m i t p l a y s a f o u n d a t
Milliseconds 35 104 87 67 45 93 85 83 75 60 81 57 101 58 85 103 20 110 57 98 33 92 25 66 104
Character i o n - a l r o l e t h r o u g h o u t c
Milliseconds 57 101 39 186 336 73 84 66 71 66 102 68 59 55 45 54 48 58 80 59 51 57 43 55 100
Character a l c u l u s .
Milliseconds 82 68 37 79 62 117 53 71
WPM Timing
Seconds WPM
1.37 87.32
2.75 109.15
4.12 98.96
5.5 117.88
6.87 129.23
8.25 133.89
9.62 139.71
10.99 142.99
12.37 145.53
13.74 150.19
15.12 152.41
16.49 154.27
17.87 150.46
19.24 153.43
20.61 155.43
21.99 150.63
23.36 143.82
24.74 144.56
26.11 145.69
27.48 147.14
28.86 148.86
30.23 150.43
31.61 151.48
32.98 151.72
34.36 152.29
35.73 148.45
37.1 148.77
38.48 149.38
39.85 149.35
41.23 150.48
42.6 151.83
43.98 151.45
45.35 151.36
46.72 151.27
48.1 150.94
49.47 150.14
50.85 148.68
52.22 149.59
53.6 150.46
54.97 151.28
56.34 151
57.72 150.52
59.09 150.07
60.47 150.03
61.84 150.97
63.22 151.48
64.59 151.79
65.96 152.08
67.34 151.3
68.71 150.89