drilltail (drilltail)

Race #337

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Official speed 149.95 wpm (69.14 seconds elapsed during race)
Without ending ping 150.50 wpm (171 ms delay sending score to TypeRacer’s server)
Timerless 151.04 wpm (248 ms elapsed before first character typed; 68.72 seconds elapsed during race)
Timerless minus one 150.86 wpm, ignoring the first character typed
Race Start October 29, 2023 2:19:11am UTC
Race Finish October 29, 2023 2:20:20am UTC
Outcome Win (1 of 3)
Accuracy 99.3%
Points 404.88
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 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 ofa veraverof average and instantaneous rates of change, and show that they are closely related to the sdlopelope 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 se howee 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 i s a t o o l t h a t h
Milliseconds 248 88 89 88 99 71 121 90 92 26 69 99 50 100 50 55 146 133 51 42 87 34 43 47 108
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 43 26 60 100 19 86 110 62 63 35 40 110 68 91 60 100 69 54 66 61 44 7 104 90 89
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 26 81 52 101 39 43 24 73 52 68 69 59 36 75 92 56 97 64 67 93 68 124 63 41 61
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 83 62 47 47 87 60 33 149 60 39 94 58 27 138 17 91 55 101 36 36 41 69 35 88 91
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 44 61 47 91 53 45 92 83 131 124 46 86 74 54 91 50 61 62 50 64 87 50 68 82 159
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 156 0 81 44 62 27 134 19 59 52 160 50 30 58 50 53 64 77 51 78 145 83 96 31 75
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 79 28 50 84 62 62 85 40 101 31 96 31 56 159 37 20 42 66 86 46 69 63 26 56 86
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 123 59 128 114 59 88 96 23 111 47 69 66 43 78 59 47 79 96 56 33 67 82 28 91 41
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 90 65 101 51 81 42 48 69 62 114 85 11 272 422 127 99 97 140 61 63 87 64 47 99 72
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 46 90 46 120 22 86 32 71 148 23 21 42 69 87 18 91 41 41 67 91 65 44 77 88 36
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 51 40 66 76 60 35 67 71 118 137 62 85 24 170 28 64 40 160 43 57 28 82 63 69 68
Character t ? W e s e e c h a n g e o c c u r r i n
Milliseconds 82 123 82 132 170 73 77 68 152 89 39 51 55 82 63 27 55 54 78 146 86 101 180 145 44
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 70 95 50 74 66 111 73 50 62 93 82 73 60 108 46 69 70 124 47 69 90 32 73 40 61
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 96 55 53 106 71 69 158 45 71 59 54 63 43 75 67 90 59 56 76 186 0 60 43 76 82
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 48 51 60 96 32 86 87 118 55 92 38 57 73 81 76 75 56 62 61 43 138 37 41 77 59
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 68 51 114 41 41 62 64 57 99 91 46 77 163 78 93 48 48 77 117 42 50 53 84 105 78
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 72 86 55 155 83 14 49 49 28 82 55 41 95 42 31 41 69 32 82 69 122 133 95 91 44
Character i s s e c t i o n w e i n t r o d u c e t
Milliseconds 46 88 42 116 104 98 159 35 28 28 56 53 56 100 64 45 77 37 81 109 79 78 76 97 41
Character h e i d e a s o f a v e r a -o -f -a - -v -e -r v
Milliseconds 43 67 67 49 71 153 41 117 66 51 55 113 0 101 113 82 123 573 0 0 0 0 0 0 60
Character e r $o -v -e -r f a v e r a g e a n d i n s t a
Milliseconds 90 129 552 0 0 0 81 90 94 107 99 304 182 101 49 87 72 46 61 54 68 23 42 54 123
Character n t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 60 91 136 137 87 259 70 86 73 105 86 101 42 90 40 55 77 52 101 21 93 67 101 45 69
Character a n d s h o w t h a t t h e y a r e c
Milliseconds 84 42 56 69 65 78 52 65 74 40 96 50 73 64 63 87 48 79 43 75 75 83 0 60 121
Character l o s e l y r e l a t e d t o t h e s d l
Milliseconds 42 136 45 70 54 103 31 116 19 71 109 54 48 159 55 64 77 51 61 39 73 78 74 0 32
Character o p e -d -l -o -p -e l o p e o f a c u r v e a
Milliseconds 157 31 59 440 0 0 0 0 49 142 26 55 60 79 71 68 62 116 28 110 44 132 58 75 82
Character t a p o i n t P o n t h e c u r v e .
Milliseconds 52 91 61 101 39 166 21 38 36 60 101 113 100 76 53 61 69 51 106 44 52 76 160 53 38
Character W e g i v e p r e c i s e d e v e l o p m
Milliseconds 74 150 59 282 89 93 89 48 56 83 85 54 132 76 52 59 75 86 140 86 78 13 133 31 51
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 99 90 28 60 48 44 73 73 58 64 41 159 68 88 46 102 71 27 56 127 68 46 82 68 109
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 50 45 88 55 120 55 89 21 93 52 56 49 66 85 50 52 92 145 126 90 99 35 73 64 77
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 123 42 60 41 85 74 35 84 90 63 67 43 55 63 296 142 113 68 69 78 59 64 83 72 95
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 66 80 52 67 83 76 67 102 100 211 203 215 100 63 102 84 89 26 262 95 68 84 116 59 43
Character w i l l s e h o w -e - -h -o -w e e h o w t
Milliseconds 39 50 114 18 152 49 51 56 108 46 49 287 493 0 0 0 0 72 142 50 22 60 41 97 23
Character h e y l e a d n a t u r a l l y t o t h e
Milliseconds 68 71 51 69 22 74 45 136 74 25 75 118 89 64 78 46 141 18 71 99 64 55 64 41 68
Character m a i n i d e a o f t h i s c h a p t e
Milliseconds 69 48 83 67 55 43 91 48 144 54 84 44 64 72 69 79 194 136 70 68 72 63 84 268 160
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 86 79 95 77 73 73 42 57 56 50 96 131 62 41 171 95 65 77 50 88 147 48 96 45 58
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 90 65 102 61 96 28 124 74 68 41 140 40 46 123 111 52 98 45 93 27 43 43 118 68 72
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 28 63 69 87 57 71 64 141 55 36 72 38 104 64 46 76 8 122 58 89 70 128 46 101 90
Character u l u s .
Milliseconds 64 81 326 85 109
WPM Timing
Seconds WPM
1.38 130.17
2.77 151.86
4.15 161.98
5.53 164.88
6.91 170.08
8.3 169.21
9.68 167.36
11.06 169.21
12.45 170.66
13.83 170.95
15.21 168.03
16.59 164.15
17.98 165.54
19.36 165.5
20.74 164.3
22.13 163.25
23.51 162.83
24.89 163.43
26.27 163.96
27.66 164.88
29.04 164.46
30.42 165.66
31.81 165.25
33.19 165.24
34.57 159.67
35.95 155.53
37.34 154.91
38.72 153.72
40.1 154.7
41.49 155.33
42.87 154.8
44.25 153.49
45.63 153.57
47.02 153.14
48.4 152.97
49.78 153.79
51.17 154.32
52.55 154.14
53.93 153.75
55.31 152.94
56.7 152.18
58.08 150.21
59.46 150.55
60.85 151.07
62.23 150.8
63.61 150.16
64.99 150.29
66.38 150.41
67.76 151.06
69.14 149.95