ihatetyping (_i_hate_typing_)

Race #1692

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Official speed 147.19 wpm (70.44 seconds elapsed during race)
Without ending ping 147.63 wpm (208 ms delay sending score to TypeRacer’s server)
Timerless 148.21 wpm (276 ms elapsed before first character typed; 69.96 seconds elapsed during race)
Timerless minus one 148.04 wpm, ignoring the first character typed
Race Start July 21, 2024 2:51:56am UTC
Race Finish July 21, 2024 2:53:06am UTC
Outcome Win (1 of 4)
Accuracy 98.9%
Points 397.42
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 earnnearly 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 insattantaneous rates of chnage,change, and show that they are closely related tho the slop oe of a curve at a point P on the curve. We give precise deveollopments of these imporatnttant 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 i s a t o o l t h a t h
Milliseconds 276 168 18 267 151 167 50 81 90 68 67 45 69 82 40 79 121 161 67 78 75 63 20 85 136
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 25 69 20 70 81 116 105 40 260 41 76 32 100 210 23 40 50 80 67 59 41 0 89 82 99
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 89 72 40 13 69 26 49 62 29 85 78 33 35 72 81 81 76 72 72 58 70 79 54 90 68
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 32 98 19 103 40 57 90 143 66 30 113 40 109 105 77 71 51 0 61 26 70 63 35 86 50
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 67 43 27 113 0 51 146 95 144 142 68 51 80 73 41 40 41 80 60 59 90 31 97 73 80
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 61 60 76 85 58 50 180 40 111 361 115 34 50 60 72 70 58 161 72 76 349 132 83 69 76
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 0 129 14 189 90 75 100 35 130 31 80 42 49 131 100 17 53 81 111 69 84 52 64 36 21
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 173 98 523 140 77 32 122 52 59 28 67 171 74 78 30 78 24 108 49 63 80 102 0 100 106
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 59 50 76 60 49 65 35 69 48 96 56 47 54 118 88 117 108 116 64 36 21 65 17 118 95
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 60 75 41 128 15 90 29 28 142 139 33 49 127 136 85 23 79 51 27 85 48 92 79 17 62
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 72 27 81 70 36 65 30 68 133 31 59 50 211 187 62 38 74 100 37 77 21 80 42 62 91
Character t ? W e s e e c h a n g e o c c u r r i n
Milliseconds 39 166 92 128 153 81 53 48 96 93 69 71 18 29 44 26 125 140 80 96 120 50 305 91 30
Character g i n e a r n -n -r -a -e n e a r l y e v e r y
Milliseconds 70 45 62 33 67 109 22 22 34 227 109 140 101 138 63 12 15 73 98 47 75 96 84 30 68
Character t h i n g w e o b s e r v e i n t h e w
Milliseconds 81 101 48 13 27 71 102 67 92 125 114 159 34 50 249 21 106 75 30 85 12 92 8 100 11
Character o r l d a n d u n i v e r s e , a n d p o
Milliseconds 81 11 40 80 80 56 55 57 49 164 40 99 201 170 98 211 52 120 69 68 68 51 33 99 22
Character w e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 17 18 35 87 69 59 106 99 60 69 44 66 73 70 50 58 77 13 35 69 140 70 57 43 40
Character h e l p u s s e e m o r e a n d m o r
Milliseconds 56 119 41 19 25 57 111 60 59 233 41 85 72 71 51 45 16 40 33 58 73 30 62 29 33
Character e . I n t h i s s e c t i o n w e i n t
Milliseconds 31 90 60 119 180 85 69 49 40 45 42 92 41 146 93 148 11 30 71 102 41 70 59 34 34
Character r o d u c e t h e i d e a s o f a v e r a
Milliseconds 40 111 130 122 90 87 174 86 55 38 48 107 66 19 50 90 59 113 59 84 54 138 72 94 79
Character g e a n d i n s a t -t -a t a n t a n e o u s
Milliseconds 128 21 69 60 101 10 101 69 31 92 108 90 198 133 39 36 94 67 144 257 81 261 73 67 344
Character r a t e s o f c h n a g e , -c -h -n -a -g -e -, c h
Milliseconds 107 40 97 14 51 52 95 64 51 79 39 31 10 91 19 108 309 0 0 0 0 0 0 124 60
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 80 22 58 21 91 69 62 78 78 73 67 39 28 66 29 42 99 16 41 71 60 47 43 87 26
Character a r e c l o s e l y r e l a t e d t h -h o
Milliseconds 51 47 20 72 247 61 118 46 35 110 110 70 84 31 98 41 63 17 122 67 63 75 283 160 60
Character t h e s l o p o -o - e o f a c u r v e
Milliseconds 52 78 28 71 82 80 160 98 151 120 329 105 80 90 141 66 40 62 100 127 103 37 146 28 89
Character a t a p o i n t P o n t h e c u r v e
Milliseconds 89 52 92 450 101 230 19 31 26 72 87 127 129 86 51 52 55 43 60 63 125 45 100 200 81
Character . W e g i v e p r e c i s e d e v e o l -l
Milliseconds 149 51 187 144 95 80 24 39 19 81 91 38 23 128 102 66 22 43 128 40 134 37 211 51 298
Character -o l o p m e n t s o f t h e s e i m p o r a
Milliseconds 136 158 88 49 320 86 65 68 49 113 86 56 63 57 56 29 76 64 23 72 29 147 13 39 58
Character t n t -t -n -t -a t a n t c o n c e p t s i n t
Milliseconds 0 115 148 180 111 137 115 56 24 66 81 59 112 36 25 77 23 87 95 65 133 91 19 90 21
Character h e n e x t c h a p t e r , b u t f o r
Milliseconds 90 30 81 56 20 120 55 46 112 42 25 121 45 77 52 50 60 98 38 53 41 136 34 50 42
Character n o w w e u s e a n i n f o r m a l a p
Milliseconds 69 37 29 65 106 73 26 100 54 28 61 42 101 79 120 36 84 108 43 118 58 85 90 47 93
Character p r o a c h s o y o u w i l l s e e h o
Milliseconds 101 84 95 471 59 70 52 177 71 58 49 65 29 50 70 81 159 97 21 61 42 97 33 89 43
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 26 53 59 30 70 57 40 55 49 20 49 73 38 69 48 40 74 38 73 104 44 90 122 36 49
Character t h e m a i n i d e a o f t h i s c h a
Milliseconds 55 51 54 45 80 59 70 27 65 57 33 29 48 62 50 81 57 111 42 48 42 61 118 72 87
Character p t e r , t h e l i m i t . T h e i d e a
Milliseconds 73 96 92 37 104 183 120 69 66 31 79 34 89 47 106 107 51 82 89 50 41 51 48 18 19
Character o f a l i m i t p l a y s a f o u n d
Milliseconds 59 85 67 63 198 129 73 31 119 47 74 94 55 15 16 40 71 85 84 91 76 209 25 37 43
Character a t i o n a l r o l e t h r o u g h o u t c
Milliseconds 69 58 84 28 37 111 89 74 56 44 50 59 141 22 106 99 139 53 78 140 146 26 151 112 161
Character a l c u l u s .
Milliseconds 71 17 92 81 189 138 112 90
WPM Timing
Seconds WPM
1.41 93.7
2.82 127.77
4.23 136.29
5.64 149.06
7.04 151.62
8.45 156.16
9.86 159.41
11.27 154.39
12.68 149.54
14.09 150.77
15.5 147.13
16.91 150.48
18.31 151.36
19.72 153.32
21.13 153.32
22.54 153.32
23.95 152.82
25.36 148.59
26.77 148.39
28.18 150.34
29.58 150.08
30.99 151.77
32.4 153.32
33.81 153.32
35.22 154
36.63 154.31
38.04 152.06
39.45 150.28
40.85 148.33
42.26 149.92
43.67 149.75
45.08 147.73
46.49 146.61
47.9 145.31
49.31 144.8
50.72 145.51
52.13 142.96
53.53 143.01
54.94 142.18
56.35 143.31
57.76 144.6
59.17 143.79
60.58 144.21
61.99 145.77
63.4 147.27
64.8 147.21
66.21 147.52
67.62 148.35
69.03 148.28
70.44 147.19