AyyCap (captainbrofist)

Race #623

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Official speed 118.81 wpm (87.27 seconds elapsed during race)
Without ending ping 119.17 wpm (261 ms delay sending score to TypeRacer’s server)
Timerless 119.70 wpm (390 ms elapsed before first character typed; 86.61 seconds elapsed during race)
Timerless minus one 119.56 wpm, ignoring the first character typed
Race Start April 6, 2024 1:29:24am UTC
Race Finish April 6, 2024 1:30:51am UTC
Outcome No win (2 of 4)
Opponents 1. mth_quitless (164.25 wpm)
Accuracy 96.8%
Points 320.79
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 toll ol that helps us undestandrstand hwo a ow a chnange in one quantity is related to a chagne inge in another. Howd eo does the speed of a falilng ling object change as a function of time? How does the level of wate rin r in a barrell ch change as a function of the maamount of liquid poured into it? WE see see change occuring iring in nearly everything we observe in the world and univbeerse, and powerful modern instruments help us se moe more and more. In this esection we introcuceduce the ideas of average and instantaneous rates of change, and shgowow that they are closely related to the slope of a curve at a point P on tjhe hethe currve. We give precise developments oft h these important concepts in the next chapter, but fgoror now we use an informal approach so you will see how they lead naturally o tto the main idea of this chapter, the limit. The ideea of a limit plays a foundational roler th therougroughout calculkusus.
Timing
Character C a l c u l u s i s a t o l l - -l -l o l
Milliseconds 390 133 101 138 127 253 60 81 80 77 61 41 80 60 64 57 101 155 122 110 89 199 80 142 86
Character t h a t h e l p s u s u n d e s t a n d -d -n
Milliseconds 63 35 97 37 65 79 37 44 40 105 14 95 82 39 102 60 61 39 179 61 98 42 120 123 97
Character -a -t -s r s t a n d h w o a - -a - -o -w o w a
Milliseconds 120 120 99 104 77 61 79 84 56 83 56 88 0 115 82 60 194 122 104 121 117 61 60 81 74
Character c h n -n a n g e i n o n e q u a n t i t y
Milliseconds 65 119 137 441 220 63 82 57 40 44 77 40 80 79 62 59 67 110 40 140 43 118 78 82 57
Character i s r e l a t e d t o a c h a g n e i
Milliseconds 66 60 74 41 87 77 60 79 19 63 101 35 107 0 120 16 120 37 81 85 101 0 57 101 97
Character -i - -e -n -g n g e i n a n o t h e r . H o w d
Milliseconds 176 103 120 120 118 140 66 25 59 73 60 79 56 87 117 19 24 133 42 62 98 122 79 101 64
Character e o -o -e - -d d o e s t h e s p e e d o f
Milliseconds 0 158 0 195 124 123 113 121 102 61 79 44 35 121 22 98 80 97 83 56 143 40 60 60 60
Character a f a l i l n g - -g -n -l -i l i n g o b j e
Milliseconds 61 41 98 81 59 83 138 0 140 39 100 178 80 125 136 100 63 175 66 18 60 57 82 80 79
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 20 161 38 201 102 41 81 41 37 62 37 82 38 60 120 41 119 60 18 123 59 40 103 37 80
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 60 62 78 36 62 83 100 141 99 79 80 59 19 102 59 61 57 83 20 120 81 100 60 39 60
Character l o f w a t e r i n - -n -i -r - r i n a
Milliseconds 24 116 79 41 98 64 39 80 60 60 18 101 39 82 177 122 98 139 104 60 84 73 43 101 121
Character b a r r e l l c h -h -c - -l c h a n g e a s
Milliseconds 61 78 78 100 97 83 81 140 101 79 80 236 121 103 140 260 101 139 81 79 39 41 59 61 81
Character a f u n c t i o n o f t h e m a -a -m a m
Milliseconds 64 54 102 61 62 54 42 116 61 65 58 81 79 41 100 358 40 121 58 64 78 279 121 113 46
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 126 55 61 20 79 61 83 38 80 95 199 81 103 82 18 98 42 199 57 44 80 81 139 117 22
Character o i t ? W E s e -e -s - -E e s e e c h a n
Milliseconds 61 117 102 83 178 139 119 82 120 82 21 133 121 123 119 104 0 134 42 101 79 80 61 80 61
Character g e o c c u r i n g i -i - -g -n -i r i n g i n
Milliseconds 59 19 60 98 83 117 84 79 61 80 80 39 83 153 124 119 120 122 61 98 36 64 57 42 82
Character n e a r l y e v e r y t h i n g w e o b s
Milliseconds 57 98 83 61 61 60 78 81 78 42 138 20 139 62 97 65 40 95 163 84 17 99 199 120 141
Character e r v e i n t h e w o r l d a n d u n i
Milliseconds 37 44 156 62 102 36 64 81 18 23 134 103 61 81 78 18 184 0 155 84 139 38 124 39 97
Character v b e -e -b e r s e , a n d p o w e r f u l m
Milliseconds 102 0 38 301 141 120 61 117 43 59 138 19 123 60 59 141 41 20 18 42 120 60 140 98 102
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 38 64 98 56 44 81 78 40 39 38 102 21 120 101 41 81 38 59 79 38 47 36 103 118 61
Character s e m o -o -m - e m o r e a n d m o r e .
Milliseconds 35 105 21 98 59 61 236 144 121 60 81 56 64 59 21 61 75 60 79 61 60 65 56 42 79
Character I n t h i s e -e s e c t i o n w e i n t
Milliseconds 102 157 141 59 103 14 84 81 35 163 320 80 23 57 138 40 100 64 98 81 36 64 158 42 39
Character r o c u c e -e -c -u -c d u c e t h e i d e a s
Milliseconds 121 36 143 61 100 36 181 103 121 116 79 84 80 18 64 99 0 121 37 102 38 102 60 40 77
Character o f a v e r a g e a n d i n s t a n t a n e
Milliseconds 77 61 84 42 100 123 0 95 59 41 51 89 21 119 18 200 80 78 42 98 44 101 375 79 163
Character o u s r a t e s o f c h a n g e , a n d
Milliseconds 81 36 84 37 163 98 60 121 43 0 78 83 58 96 46 153 104 60 37 83 99 83 38 79 42
Character s h g o w -w -o -g o w t h a t t h e y a r e
Milliseconds 80 101 19 59 50 188 126 133 84 99 97 60 24 116 23 81 97 23 116 65 100 96 23 36 62
Character c l o s e l y r e l a t e d t o t h e s l
Milliseconds 79 84 108 14 37 96 83 103 37 44 97 60 36 85 78 37 161 39 139 61 23 138 123 99 200
Character o p e o f a c u r v e a t a p o i n t
Milliseconds 137 103 60 39 100 81 37 121 78 105 81 58 120 36 47 119 15 43 140 61 139 61 139 60 38
Character P o n t j h e - -e -h - -j -t h e -e -h t h e
Milliseconds 43 136 122 82 58 61 83 38 0 97 66 232 121 120 201 222 117 140 60 65 354 189 132 42 121
Character c u r r -r v e . W e g i v e p r e c i s e
Milliseconds 60 98 23 117 83 316 223 19 61 119 118 180 80 86 54 83 38 62 122 81 293 225 62 82 38
Character d e v e l o p m e n t s o f t h -h - -t t h
Milliseconds 60 121 59 99 36 26 121 102 113 80 84 59 38 81 61 77 157 23 63 216 141 97 103 43 40
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 214 66 78 56 105 77 123 39 43 97 82 23 77 80 100 40 71 43 48 61 54 62 40 80 42
Character t h e n e x t c h a p t e r , b u t f g
Milliseconds 61 34 23 95 85 61 40 140 36 84 75 66 79 79 41 41 78 42 78 81 60 59 60 45 0
Character o r -r -o -g o r n o w w e u s e a n i n f
Milliseconds 95 36 162 122 116 61 61 121 60 101 61 78 79 21 83 78 62 17 80 61 78 102 99 36 83
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 80 60 104 55 121 60 81 82 135 42 157 51 74 136 44 119 20 86 35 82 19 82 58 40 120
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 119 60 43 40 120 96 83 80 42 56 83 20 121 19 22 194 61 43 103 0 79 78 36 122 41
Character a l l y o t -t - -o t o t h e m a i n i d
Milliseconds 56 63 94 86 0 120 81 16 180 140 104 59 38 81 59 41 101 39 102 56 60 99 42 78 24
Character e a o f t h i s c h a p t e r , t h e l
Milliseconds 116 24 37 41 80 78 44 21 79 56 42 81 95 109 18 80 77 42 37 61 83 38 79 37 43
Character i m i t . T h e i d e -e e a o f a l i m
Milliseconds 156 61 83 100 78 122 59 119 82 61 59 61 116 222 237 81 82 63 80 59 20 119 41 158 43
Character i t p l a y s a f o u n d a t i o n a l r
Milliseconds 98 44 96 41 60 19 84 93 42 101 80 80 83 176 18 44 80 82 61 57 59 97 84 60 78
Character o l e r t h -h -t - -r t h e r o u g -g -u -o -r -e r
Milliseconds 42 81 82 0 27 127 19 139 144 121 116 80 23 43 175 0 62 60 62 155 123 140 121 101 56
Character o u g h o u t c a l c u l k u s -s -u -k u s .
Milliseconds 140 22 43 20 97 59 63 40 116 42 37 102 101 255 23 40 180 139 141 218 140 66 140
WPM Timing
Seconds WPM
1.75 96.26
3.49 99.7
5.24 89.38
6.98 84.23
8.73 88.01
10.47 101.99
12.22 98.22
13.96 95.4
15.71 103.13
17.45 99.7
19.2 105.63
20.94 110.58
22.69 108.42
24.43 106.08
26.18 107.72
27.92 106.14
29.67 108.8
31.42 106.57
33.16 107.48
34.91 107.6
36.65 108.37
38.4 110.63
40.14 110.91
41.89 113.73
43.63 113.31
45.38 113.45
47.12 113.07
48.87 114.43
50.61 114.75
52.36 116.2
54.1 116
55.85 117.53
57.6 117.93
59.34 118.1
61.09 114.72
62.83 114.02
64.58 114.47
66.32 113.81
68.07 115.47
69.81 116.54
71.56 117.05
73.3 118.03
75.05 119.28
76.79 119.23
78.54 121.01
80.28 120.62
82.03 121.57
83.77 121.18
85.52 120.39
87.27 118.81