(jesterc)

Race #42728

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Official speed 136.80 wpm (75.79 seconds elapsed during race)
Without ending ping 137.26 wpm (251 ms delay sending score to TypeRacer’s server)
Timerless 137.40 wpm (82 ms elapsed before first character typed; 75.46 seconds elapsed during race)
Timerless minus one 137.25 wpm, ignoring the first character typed
Race Start August 7, 2024 12:41:57pm UTC
Race Finish August 7, 2024 12:43:13pm UTC
Outcome No win (2 of 4)
Opponents 1. altrocality (150.89 wpm)
Accuracy 97.5%
Points 369.37
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 c ha change in oneq uan 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 leve l; of of water in a abbarrel dchchange as a function of the amount of liquid poured into it? We see chnage ochange occurring i nnn nearly everyhithing we obsevrve in the world and universe, and powerful modern instruments help us see more and more. ini thIn this section we introduce the ideas of average and instantaneous rates o fcf change, and show that they are closely related to the soplope of a curve at a point P on the curve. We give precise developmetns ofnts of these important concepts in the next chater,opterpter, but for now w usee use an informal approach so you will see how they lead naturally to the main idea of this chapte,r ther, 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 82 216 84 87 97 166 105 188 75 52 67 79 34 105 68 30 134 146 56 16 82 22 84 127 75
Character e l p s u s u n d e r s t a n d h o w c
Milliseconds 83 59 38 107 58 98 52 76 44 39 29 141 24 81 83 25 73 90 23 52 30 45 38 120 37
Character h -h - -c a c h a n g e i n o n e q u a n -u
Milliseconds 134 315 128 115 37 51 105 40 95 30 76 29 38 44 67 72 117 68 67 119 15 130 67 104 225
Character -a -n - -q q u a n t i t y i s r e l a t e d
Milliseconds 0 0 127 120 68 7 99 89 77 88 47 125 75 23 81 83 53 128 51 79 72 53 30 105 52
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 90 7 68 53 90 36 69 93 42 60 59 31 37 70 57 37 60 31 83 59 45 52 45 39 92
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 192 76 112 74 105 92 51 48 80 30 97 52 76 59 107 134 105 92 57 69 29 76 81 114 45
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 60 122 66 21 105 9 51 165 105 93 87 130 51 156 77 104 30 67 7 108 35 61 180 149 97
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 99 46 44 91 99 5 7 70 28 91 35 38 83 45 68 6 174 45 121 194 81 69 74 60 91
Character s t h e l e v e - l ; o f -o -f - - -; o
Milliseconds 6 54 67 39 66 32 95 32 81 53 107 335 142 8 91 23 67 51 241 0 0 135 134 76 105
Character f w a t e r i n a a b -b -a b a r r e l d
Milliseconds 44 47 67 21 68 67 83 10 19 84 60 44 61 150 6 444 104 129 44 55 94 45 54 75 90
Character c h -d -c -h c h a n g e a s a f u n c t i o n
Milliseconds 127 90 293 0 0 157 68 120 22 37 23 68 60 66 54 59 99 127 59 52 93 95 31 30 45
Character o f t h e a m o u n t o f l i q u i d
Milliseconds 45 66 68 39 83 58 53 55 217 83 94 75 131 57 98 30 104 31 83 48 94 68 22 120 53
Character p o u r e d i n t o i t ? W e s e e c h
Milliseconds 94 266 67 45 113 120 60 52 10 83 35 61 82 29 176 28 122 140 83 105 29 98 62 67 68
Character n a g e o -o -c -h -n -a -g -e - c h a n g e o c c u
Milliseconds 113 20 67 32 84 95 270 120 0 0 0 0 0 0 173 36 121 22 45 32 28 60 120 92 137
Character r r i n g i n n -n -n - n n e a r l y e v e
Milliseconds 71 120 68 59 63 57 54 90 8 224 254 114 119 130 95 55 35 48 42 45 64 4 45 104 83
Character r y h i -i -h t h i n g w e o b s e v -v r v e
Milliseconds 52 31 119 53 367 120 99 59 67 63 27 45 98 48 72 82 61 127 24 306 316 44 135 37 53
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 15 82 54 36 46 29 53 30 31 75 59 37 68 67 39 59 15 82 131 19 24 51 108 99 41
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 82 38 56 57 30 78 106 124 66 23 37 129 31 52 84 72 22 83 127 62 43 75 48 51 67
Character t r u m e n t s h e l p u s s e e m o r e
Milliseconds 47 96 29 176 56 83 37 68 25 50 106 51 25 88 67 62 51 90 45 120 30 67 31 52 31
Character a n d m o r e . i n i t h -t -h -i -n -i - I n
Milliseconds 32 79 24 89 10 67 16 66 16 87 48 103 113 7 59 38 62 224 0 128 0 0 0 196 120
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 98 57 45 22 93 5 129 28 83 138 35 7 45 47 89 14 82 159 44 112 120 8 150 56 68
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 26 46 81 23 70 27 92 22 97 74 68 38 29 75 48 73 92 28 134 138 20 47 59 45 62
Character d i n s t a n t a n e o u s r a t e s o f
Milliseconds 42 45 63 67 43 68 121 5 420 77 84 72 82 69 45 37 77 110 45 30 60 39 33 117 51
Character c -c -f - f c h a n g e , a n d s h o w t h
Milliseconds 270 157 122 126 82 69 89 37 120 26 36 43 46 37 67 45 30 83 76 30 44 82 32 58 76
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 44 45 31 89 9 89 53 75 52 22 30 54 96 28 122 61 37 79 35 32 81 28 41 82 42
Character e d t o t h e s o p -p -o l o p e o f a
Milliseconds 60 90 52 91 44 56 57 37 55 67 84 66 51 435 114 171 150 67 90 75 38 37 90 60 45
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 76 99 43 135 24 51 60 82 24 98 68 98 72 75 9 51 62 133 144 45 66 62 51 37 30
Character c u r v e . W e g i v e p r e c i s e d
Milliseconds 53 97 60 60 368 202 76 52 113 136 253 129 83 85 18 47 36 63 79 113 82 83 30 82 75
Character e v e l o p m e t n s o f -o -f - -s -n -t n t s o
Milliseconds 128 62 69 34 142 71 102 67 99 7 104 75 23 52 271 0 142 143 127 105 143 29 83 32 31
Character f t h e s e i m p o r t a n t c o n c e p t
Milliseconds 57 67 30 38 52 113 41 51 67 51 23 82 67 113 91 59 48 58 112 30 61 74 7 60 120
Character s i n t h e n e x t c h a t e r , -, -r -e -t
Milliseconds 92 73 62 36 130 87 83 67 38 60 34 206 60 75 257 58 112 115 133 37 105 195 129 127 142
Character o p t e r -r -e -t -p -o p t e r , b u t f o r n
Milliseconds 181 6 53 75 67 255 120 143 132 108 166 66 75 60 69 39 87 90 45 45 99 36 68 37 60
Character o w w u s e -u -s -e - e u s e a n i n f o
Milliseconds 60 15 55 110 83 120 112 45 181 0 0 112 67 75 62 53 59 7 89 61 52 52 62 43 122
Character r m a l a p p r o a c h s o y o u w i l l
Milliseconds 52 126 129 51 175 110 92 141 97 68 45 83 7 46 156 98 77 58 75 60 45 67 45 120 98
Character s e e h o w t h e y l e a d n a t u r a
Milliseconds 37 53 60 105 11 82 34 49 41 60 38 80 70 62 140 45 105 41 19 38 82 38 45 82 38
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 24 119 37 52 53 45 46 44 56 51 67 51 98 67 22 92 58 31 130 50 74 98 270 77 113
Character h i s c h a p t e , r t h e -t -h -e -r - -, r ,
Milliseconds 20 32 99 6 96 7 91 74 98 78 27 30 25 110 40 68 207 0 0 120 0 180 120 82 56
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 94 75 83 52 47 51 59 76 89 98 47 81 99 96 39 44 66 122 58 30 24 74 37 435 98
Character l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 247 146 94 158 166 21 38 107 52 103 53 97 98 75 97 53 45 135 60 114 58 30 30 45 84
Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 66 56 49 53 129 21 62 68 35 83 67 82 75 76 44 114 51 83 127 63 27 107 18 93 90
Character s .
Milliseconds 61 111
WPM Timing
Seconds WPM
1.52 118.75
3.03 142.5
4.55 126.67
6.06 124.69
7.58 125.08
9.09 139.86
10.61 140.24
12.13 142.5
13.64 142.5
15.16 144.87
16.67 140.34
18.19 138.54
19.71 132.15
21.22 135.15
22.74 136.17
24.25 137.06
25.77 132.72
27.28 133.26
28.8 131.25
30.32 129.83
31.83 130.44
33.35 133.14
34.86 134.93
36.38 138.21
37.89 135.85
39.41 137.32
40.93 139.57
42.44 139.96
43.96 138.41
45.47 140.65
46.99 140.97
48.51 140.77
50.02 141.78
51.54 140.4
53.05 140.24
54.57 138.54
56.08 139.5
57.6 138.96
59.12 135.4
60.63 134.98
62.15 134.58
63.66 134.58
65.18 135.69
66.69 137.46
68.21 137.75
69.73 136.3
71.24 136.44
72.76 135.9
74.27 136.85
75.79 136.8