(jesterc)

Race #14951

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Official speed 123.18 wpm (84.17 seconds elapsed during race)
Without ending ping 123.47 wpm (195 ms delay sending score to TypeRacer’s server)
Timerless 123.66 wpm (131 ms elapsed before first character typed; 83.84 seconds elapsed during race)
Timerless minus one 123.52 wpm, ignoring the first character typed
Race Start August 13, 2023 12:28:14pm UTC
Race Finish August 13, 2023 12:29:38pm UTC
Outcome No win (2 of 5)
Opponents 1. skanide (141.51 wpm)
3. szen (89.53 wpm)
Accuracy 97.0%
Points 332.59
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 Calcuoulu iss is a tool taht hethat help[s us sus undedrstand how a change in one quantity is related to a change in another. How does the speed of a flalingfalinling object change as a function of time? How does the leveel ofl ofwa water in a barrel change isas a function of the amounbt ot of liquid poured into it? We see change occurring in nearlyh ever everything w oe observe in the orworld and universe, and powerful modern instruments hlpe hlelelp us see more and more. Ion thisIn this section we introduce the ideas of averagea nd 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 prefciseprecise developments of these importnatant concepts in the next chapter, but for now we use an infomralinformal approach so you will see how they lead naturally to the main idea of htis chthisa chc hap chapter, the limit. The idea of a limit plays a foundational role throughout alccalculus.
Timing
Character C a l c u o u -u -o l u i s -i -s - s i s a t
Milliseconds 131 262 116 151 95 197 10 291 135 174 51 134 73 99 296 0 144 112 76 63 62 63 88 53 37
Character o o l t a h t h e -h -e -t -a -h -t - t h a t h e
Milliseconds 71 120 158 36 50 88 4 64 92 13 96 205 0 113 0 0 0 0 150 96 113 84 36 72 75
Character l p [ s u -u - -s -[ s s -s u s u n d e d -d r s
Milliseconds 45 53 0 107 42 74 257 149 145 143 74 99 141 331 122 79 71 31 56 42 153 0 418 105 114
Character t a n d h o w a c h a n g e i n o n e
Milliseconds 77 27 75 74 63 68 57 38 60 99 66 37 73 102 38 107 37 8 54 63 95 401 71 39 92
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 19 97 87 74 94 5 167 113 210 73 85 59 94 27 76 44 66 25 105 66 74 6 82 75 86
Character c h a n g e i n a n o t h e r . H o w d o
Milliseconds 48 53 91 48 45 24 48 41 75 70 13 84 22 43 87 33 58 40 39 88 172 5 147 60 188
Character e s t h e s p e e d o f a f l a l i n g
Milliseconds 73 51 93 60 73 8 127 59 88 18 120 124 54 32 73 46 143 62 123 57 0 131 35 47 118
Character -f -l -a -l -i -n -g f a l i n -n -i l i n g o b j e c t
Milliseconds 181 0 0 0 0 0 0 153 31 41 147 55 295 121 165 22 37 102 11 78 99 117 87 69 141
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 79 105 27 120 31 39 16 87 31 78 85 91 77 77 91 48 56 111 20 23 41 59 42 42 68
Character t i m e ? H o w d o e s t h e l e v e e l
Milliseconds 40 68 75 8 173 66 125 157 56 89 81 34 82 37 48 44 60 71 24 98 34 119 4 85 79
Character o f -o -f - -l -e l o f w a -a -w w a t e r i n
Milliseconds 104 94 24 241 0 153 137 140 170 93 60 0 141 13 441 121 74 61 38 54 97 55 38 51 72
Character a b a r r e l c h a n g e i s -i -s a s a
Milliseconds 71 35 95 77 78 61 112 54 31 118 66 50 112 22 57 66 133 134 59 301 0 199 50 67 90
Character f u n c t i o n o f t h e a m o u n b t
Milliseconds 72 48 118 53 119 149 38 26 66 106 38 65 63 48 64 49 25 106 73 85 79 130 12 84 37
Character o -o - -t -b t o f l i q u i d p o u r e d i
Milliseconds 9 351 143 164 154 103 42 45 110 24 82 55 125 72 56 74 85 60 141 63 19 46 116 27 42
Character n t o i t ? W e s e e c h a n g e o c c
Milliseconds 66 74 38 84 75 63 205 15 153 129 128 189 36 119 60 89 22 115 19 57 17 95 78 120 315
Character u r r i n g i n n e a r l y h e v e r -e -v -e
Milliseconds 136 138 93 111 85 68 54 50 88 103 247 68 45 50 40 47 4 77 4 116 80 73 158 0 0
Character -r - -h e v e r y t h i n g w o -o - e o b s
Milliseconds 0 135 119 57 80 89 104 61 31 83 52 21 99 25 36 59 148 209 236 116 138 0 45 148 67
Character e r v e i n t h e o r -o -r w o r l d a n d
Milliseconds 82 27 141 51 45 13 67 59 22 79 16 59 84 90 329 0 108 81 47 94 41 69 47 41 64
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 27 85 132 20 46 46 104 110 50 45 36 38 96 17 72 151 156 38 23 40 117 35 30 97 61
Character o d e r n i n s t r u m e n t s h l p e -h -l
Milliseconds 50 25 111 34 15 83 9 71 108 37 104 36 154 68 85 64 32 81 168 165 30 0 208 223 0
Character -p -e - h l e l -l -e -l e l p u s s e e m o r e
Milliseconds 0 0 0 173 169 22 155 258 134 148 145 51 37 134 70 58 67 85 62 133 23 32 53 41 41
Character a n d m o r e . I o n t h i s -t -h -i -s -I -o
Milliseconds 13 124 28 85 22 54 47 59 28 83 41 109 22 82 77 46 50 44 23 209 0 0 0 141 0
Character -n - I n t h i s s e c t i o n w e i n t r
Milliseconds 0 0 530 128 77 112 44 7 101 27 105 51 127 162 55 25 23 53 72 35 104 136 54 88 111
Character o d u c e t h e i d e a s o f a v e r a g
Milliseconds 100 101 83 45 34 59 71 21 70 49 81 29 109 69 102 29 74 88 120 56 88 118 43 99 44
Character e a n d -n -d - - -a a n d i n s t a n t a n
Milliseconds 42 105 0 115 45 95 261 0 0 135 122 22 56 84 28 61 40 45 42 75 89 101 170 186 129
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 86 80 74 59 43 95 95 60 34 19 71 37 75 43 96 34 192 15 91 25 54 56 71 66 18
Character s h o w t h a t t h e y a r e c l o s e
Milliseconds 83 47 68 29 83 71 94 77 97 34 54 75 74 30 89 17 117 142 115 100 96 44 115 48 29
Character l y r e l a t e d t o t h e s l o p e o
Milliseconds 98 51 71 14 69 55 40 57 36 110 30 88 84 30 75 58 82 41 221 98 143 65 121 49 32
Character f a c u r v e a t a p o i n t P o n
Milliseconds 119 32 70 86 14 267 129 159 27 67 41 93 26 68 89 44 36 104 4 73 69 117 168 36 74
Character t h e c u r v e . W e g i v e p r e f c
Milliseconds 56 71 34 53 65 91 72 69 153 37 36 40 96 127 65 130 276 93 38 71 33 67 54 118 0
Character i s e -p -r -e -f -c -i -s -e p r e c i s e d e v e l o
Milliseconds 92 66 71 209 0 0 0 0 0 0 0 276 56 57 96 84 58 48 107 45 125 75 63 14 166
Character p m e n t s o f t h e s e i m p o r t n a t
Milliseconds 45 88 83 62 71 59 41 34 60 75 51 25 37 130 16 45 47 64 36 82 81 147 207 101 119
Character -t -a -n a n t c o n c e p t s i n t h e n e
Milliseconds 213 130 129 66 91 38 71 75 25 60 59 39 126 48 80 80 55 29 86 12 79 13 86 44 10
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 230 58 93 137 66 98 36 76 109 15 34 32 124 29 94 42 320 68 67 74 67 35 81 113 284
Character e u s e a n i n f o m r a l -i -n -f -o -m -r -a -l
Milliseconds 426 87 100 67 35 55 107 48 90 39 67 102 106 85 22 153 19 300 0 0 0 0 0 0 0
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 441 91 61 96 81 101 24 186 308 113 97 147 141 29 136 58 55 68 84 33 72 59 80 37 46
Character w i l l s e e h o w t h e y l e a d n a
Milliseconds 62 42 130 115 17 95 49 108 33 36 35 61 52 83 45 89 40 70 92 70 61 92 17 51 59
Character t u r a l l y t o t h e m a i n i d e a
Milliseconds 61 58 73 15 30 127 46 68 26 36 82 41 65 79 36 60 76 48 55 87 42 59 108 10 88
Character o f h t i s c h -c -h -h -t -i -s - t h i s a c h
Milliseconds 6 101 53 91 0 41 76 40 87 12 286 0 104 0 0 0 0 106 45 30 73 0 67 51 28
Character -c -h - -a c h a p -h -a -p - -c c h a p t e r , t
Milliseconds 346 0 140 113 83 0 84 100 33 325 0 0 146 129 63 13 104 88 33 127 110 30 4 56 101
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 49 77 19 84 22 80 96 93 113 52 47 124 74 60 55 38 111 42 58 25 48 79 8 143 157
Character i m i t p l a y s a f o u n d a t i o n a l
Milliseconds 51 46 88 95 63 41 59 68 76 90 52 56 103 27 64 33 136 41 94 41 33 29 61 90 65
Character r o l e t h r o u g h o u t a l c -c -l -a c a
Milliseconds 114 27 75 139 40 117 53 74 25 81 51 62 71 70 78 38 44 68 79 136 245 134 129 77 72
Character l c u l u s .
Milliseconds 54 94 26 119 97 83 89
WPM Timing
Seconds WPM
1.68 49.9
3.37 67.72
5.05 66.53
6.73 64.16
8.42 75.56
10.1 85.54
11.78 98.78
13.47 107.82
15.15 106.14
16.83 104.79
18.52 113.41
20.2 115.24
21.88 108.57
23.57 113.04
25.25 111.68
26.93 111.38
28.62 113.22
30.3 114.45
31.98 114.43
33.67 113.34
35.35 113.04
37.03 114.06
38.72 117.77
40.4 116.73
42.08 114.34
43.77 115.15
45.45 114.32
47.13 116.35
48.82 115.28
50.5 116.43
52.19 118.65
53.87 120.52
55.55 121.62
57.24 122.23
58.92 122.81
60.6 121.38
62.29 123.11
63.97 122.12
65.65 123.56
67.34 122.61
69.02 120.84
70.7 120.34
72.39 121.85
74.07 123.78
75.75 123.08
77.44 120.87
79.12 121.94
80.8 123.11
82.49 124.38
84.17 123.18