Just a man in a hotdog van (learner_typer)

Race #4925

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Official speed 121.76 wpm (85.15 seconds elapsed during race)
Without ending ping 122.40 wpm (249 ms delay sending score to TypeRacer’s server)
Timerless 123.03 wpm (433 ms elapsed before first character typed; 84.47 seconds elapsed during race)
Timerless minus one 122.89 wpm, ignoring the first character typed
Race Start May 16, 2024 9:51:04am UTC
Race Finish May 16, 2024 9:52:29am UTC
Outcome Win (1 of 4)
Accuracy 97.6%
Points 328.75
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 Clalculus is a tool that helps us understand how a change in one quantity is reala=elated to a change in snanother. How does the speed of a falling object changes as a function of time? How does the level of water in a barrel change as a functino ofon of the amount of liquid poured into iTt? We see change occurring in nearly everything we observe in thew world and universe, and powerful modern instruments hellp us see more and more. In this section we introduce the ideas of average and instantaneous reateates of change, and show that they are closely related to the slope of a rccurve at ap oint point P on the curve. We give precise cdevelopments of thes e important concepts in the next chapter, but for now ewe use an informal approach so you will sseee how they lead naturally to the main ideao of this chapter, the limnitimit./ The idea of a limit plays a foundational role throughhouout claalculus.
Timing
Character C l -l a l c u l u s i s a t o o l t h a t
Milliseconds 433 238 355 60 117 103 69 103 85 103 67 74 125 81 141 42 116 41 138 133 61 56 54 48 34
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 48 70 64 105 62 80 41 48 86 82 102 50 50 137 53 107 53 40 79 128 86 75 33 42 48
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 96 53 102 38 111 19 212 59 59 71 29 38 154 55 81 86 136 68 115 66 137 31 155 0 128
Character i s r e a l a $= -= -l -a -e e l a t e d t o a
Milliseconds 81 100 96 187 45 81 34 145 214 116 51 100 118 415 76 121 69 81 129 81 129 71 79 61 90
Character c h a n g e i n s n $a -n n o t h e r . H o w
Milliseconds 90 61 79 49 130 31 97 83 53 19 57 118 532 0 41 27 101 12 100 50 36 44 143 85 52
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 120 40 100 40 49 70 60 27 52 61 94 43 91 94 130 47 39 105 91 69 57 91 63 51 124
Character i n g o b j e c t c h a n g e s - -s a s
Milliseconds 22 108 132 80 150 159 34 69 136 132 47 134 28 121 10 69 50 63 30 297 101 62 70 56 85
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 57 69 129 72 48 79 122 38 33 11 64 105 77 104 81 65 63 50 223 64 202 110 80 49 85
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 53 94 21 60 89 80 42 167 138 63 67 72 47 61 89 43 82 49 53 36 99 62 30 60 39
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 41 37 70 134 51 44 120 20 53 84 117 31 79 39 50 40 56 88 67 50 73 76 121 92 37
Character c t i n o o f -f -o - -o -n o n o f t h e a m
Milliseconds 41 141 21 55 0 103 86 54 373 90 87 101 89 208 32 59 313 100 49 78 29 64 58 131 90
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 50 90 83 329 185 72 113 65 91 40 149 89 22 110 53 99 219 60 81 69 130 41 79 50 110
Character o i T -T t ? W e s e e c h a n g e o c c
Milliseconds 159 113 266 179 401 151 324 58 135 188 87 62 118 109 39 130 11 167 3 69 68 93 120 56 124
Character u r r i n g i n n e a r l y e v e r y t h i
Milliseconds 143 70 134 80 43 59 69 204 58 110 90 87 44 48 50 70 40 70 69 102 70 16 132 51 35
Character n g w e o b s e r v e i n t h e w - -w
Milliseconds 120 76 3 185 36 65 154 60 107 220 51 160 40 31 57 33 44 33 71 59 108 5 378 100 57
Character w o r l d a n d u n i v e r s e , a n d p
Milliseconds 46 87 26 103 27 81 67 72 134 120 139 52 145 134 120 90 37 93 36 43 47 73 34 78 60
Character o w e r f u l m o d e r n i n s t r u m e n t
Milliseconds 48 20 50 24 122 64 31 52 150 65 13 133 39 77 46 81 49 45 50 61 106 135 60 59 56
Character s h e l l -l p u s s e e m o r e a n d
Milliseconds 39 84 191 89 102 228 299 164 55 114 26 82 90 120 113 50 97 70 18 5 106 27 93 4 79
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 98 33 47 35 103 42 197 111 35 67 53 22 44 90 78 51 191 138 44 29 6 22 94 48 40
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 283 77 100 146 45 120 57 82 146 62 82 30 76 43 131 66 144 53 87 110 70 78 57 135 60
Character e r a g e a n d i n s t a n t a n e o u s r
Milliseconds 151 60 91 57 50 11 139 79 144 78 71 50 62 56 70 10 174 390 119 138 110 36 96 97 92
Character e a t e -e -t -a -e a t e s o f c h a n g e , a
Milliseconds 56 24 109 60 222 108 91 95 61 35 67 51 69 20 101 52 174 82 72 90 69 31 61 64 2
Character n d s h o w t h a t t h e y a r e c l o
Milliseconds 184 125 104 61 57 12 78 70 59 59 42 47 84 249 61 86 58 68 80 48 36 55 183 45 100
Character s e l y r e l a t e d t o t h e s l o p e
Milliseconds 53 32 77 68 22 90 25 74 58 51 49 128 75 62 31 86 47 63 60 73 76 82 140 102 44
Character o f a r c -c -r c u r v e a t a p o i n
Milliseconds 84 76 34 100 26 103 57 233 157 94 87 83 72 198 28 62 91 59 81 38 84 5 90 161 22
Character t -p - -o -i -n -t p o i n t P o n t h e c u
Milliseconds 75 557 0 0 0 0 0 107 110 61 132 46 49 91 96 135 112 34 52 159 55 47 76 254 71
Character r v e . W e g i v e p r e c i s e c -c d e
Milliseconds 80 152 25 63 49 121 120 49 162 79 99 31 58 48 88 55 161 69 101 55 54 244 279 87 152
Character v e l o p m e n t s o f t h e s - e i m p
Milliseconds 75 56 74 139 73 133 49 103 50 71 61 40 82 82 83 63 105 100 202 318 99 62 78 44 97
Character o r t a n t c o n c e p t s i n t h e n e
Milliseconds 44 91 207 155 75 79 47 182 28 44 149 175 62 128 65 78 88 31 42 58 80 50 97 84 10
Character x t c h a p t e r , b u t f o r n o w e
Milliseconds 152 81 91 258 59 73 48 87 93 57 44 36 94 30 117 41 130 20 136 23 90 20 116 85 156
Character -e w e u s e a n i n f o r m a l a p p r o
Milliseconds 167 409 19 77 240 131 22 50 110 78 61 90 48 91 82 88 61 75 52 92 62 135 102 98 64
Character a c h s o y o u w i l l s s e -e -s e e h
Milliseconds 99 40 50 40 90 22 58 100 60 52 60 21 97 110 113 37 302 98 192 176 96 93 104 80 91
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 37 443 128 80 49 56 45 64 74 36 26 106 62 82 69 60 190 143 51 50 118 63 56 137 45
Character t h e m a i n i d e a o - -o o f t h i
Milliseconds 87 35 76 70 54 103 66 67 42 62 92 43 145 27 149 44 349 98 58 110 40 82 88 51 19
Character s c h a p t e r , t h e l i m n i t -i -m -n -i
Milliseconds 70 67 142 61 74 33 94 90 59 57 31 73 29 41 126 105 80 49 9 85 82 633 0 0 0
Character -t i m i t . / - -/ T h e i d e a o f a
Milliseconds 0 64 57 120 84 125 3 60 349 110 309 168 82 50 66 83 22 133 72 85 63 52 94 33 87
Character l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 110 62 96 82 61 106 83 53 68 136 142 52 288 149 212 149 42 48 53 39 252 76 50 13 96
Character l r o l e t h r o u g h h o u -u -o -h o u t c
Milliseconds 71 51 101 51 124 54 58 119 96 107 38 113 298 10 81 189 51 226 94 100 191 32 87 59 180
Character l a -a -l a l c u l u s .
Milliseconds 74 67 222 100 78 116 99 124 57 85 107 90
WPM Timing
Seconds WPM
1.7 56.37
3.41 109.22
5.11 126.83
6.81 128.59
8.52 109.92
10.22 117.44
11.92 117.77
13.62 123.31
15.33 121.35
17.03 124.72
18.73 126.19
20.44 131.53
22.14 128.46
23.84 126.83
25.55 125.42
27.25 121.99
28.95 121.45
30.65 122.53
32.36 123.5
34.06 123.66
35.76 125.49
37.47 127.15
39.17 125.91
40.87 127.71
42.58 128.24
44.28 128.73
45.98 128.14
47.68 127.34
49.39 128.29
51.09 129.89
52.79 128.88
54.5 127.05
56.2 127.05
57.9 127.04
59.61 126.83
61.31 125.85
63.01 126.26
64.71 127.02
66.42 125.93
68.12 126.83
69.82 125.8
71.53 125.66
73.23 126.34
74.93 126.35
76.64 124.95
78.34 124.08
80.04 123.98
81.75 124.34
83.45 123.09
85.15 121.76