boy_314 fan (electricviolinie)

Race #5940

View Pit Stop page for race #5940 by electricviolinie — Ghost race

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Official speed 143.48 wpm (72.26 seconds elapsed during race)
Without ending ping 144.08 wpm (302 ms delay sending score to TypeRacer’s server)
Timerless 144.73 wpm (323 ms elapsed before first character typed; 71.64 seconds elapsed during race)
Timerless minus one 144.56 wpm, ignoring the first character typed
Race Start September 30, 2023 6:16:29am UTC
Race Finish September 30, 2023 6:17:41am UTC
Outcome Win (1 of 3)
Opponents 2. altrocality (136.80 wpm)
3. pboozin (120.22 wpm)
Accuracy 98.4%
Points 387.39
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 help sus helps us understand how a change in one quantity is related to a change in another. How does the speed of a safaliling object change as afuncta 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 esee 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 relaeted 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 approchach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limte limit plays a foundation role rofoundatoinaional 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 323 64 89 23 45 67 68 69 66 67 92 0 114 41 94 41 91 67 68 89 46 22 45 48 109
Character e l p s u s -s -u -s - -h -e -l -p - h e l p s u s
Milliseconds 47 67 44 91 0 90 91 91 202 0 0 0 136 0 0 0 0 134 68 45 67 68 90 296 65
Character u n d e r s t a n d h o w a c h a n g e
Milliseconds 89 225 42 69 68 69 19 48 21 68 21 70 89 21 91 69 112 42 68 22 23 47 65 23 68
Character i n o n e q u a n t i t y i s r e l a t e
Milliseconds 202 46 91 112 46 42 91 180 182 112 44 137 41 92 90 69 66 89 70 88 70 65 67 71 89
Character d t o a c h a n g e i n a n o t h e r .
Milliseconds 135 68 135 19 68 115 45 65 22 26 44 43 69 92 134 21 89 137 45 42 90 26 20 69 113
Character H o w d o e s t h e s p e e d o f a
Milliseconds 20 116 67 45 87 68 70 112 67 88 94 19 22 67 115 91 21 135 92 67 89 89 67 93 73
Character s a -s -a f a l i -i l i n g o b j e c t c h a n
Milliseconds 38 44 250 0 66 68 68 199 273 87 90 46 45 67 93 67 65 45 46 22 92 157 21 25 44
Character g e a s a f u n c t -a -f -u -n -c -t a f u n c t
Milliseconds 68 45 91 155 0 519 181 336 68 68 90 21 183 0 0 0 0 0 268 88 25 89 47 68 41
Character i o n o f t i m e ? H o w d o e s t h e
Milliseconds 72 0 18 47 90 20 112 50 64 69 45 136 67 135 68 44 89 69 44 110 46 112 48 19 91
Character l e v e l o f w a t e r i n a b a r r
Milliseconds 23 47 67 45 90 90 89 91 90 66 93 18 70 68 65 115 45 45 88 113 113 292 92 67 113
Character e l c h a n g e a s a f u n c t i o n o
Milliseconds 90 65 89 158 25 21 23 93 0 85 137 91 68 87 71 111 114 41 71 20 71 19 0 68 92
Character f t h e a m o u n t o f l i q u i d p o
Milliseconds 67 90 45 68 21 44 92 112 48 0 66 44 69 87 69 88 67 45 92 70 43 111 90 136 45
Character u r e d i n t o i t ? W e e -e s e e c h
Milliseconds 20 48 90 87 46 92 20 91 47 67 88 45 114 69 157 45 87 160 203 292 68 111 66 68 47
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 21 45 69 67 66 134 72 111 135 69 111 90 42 92 69 88 21 407 157 22 47 44 69 20 45
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 137 69 64 70 67 43 23 44 24 46 88 67 68 69 110 23 24 90 69 22 69 64 112 23 47
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 90 46 0 67 44 45 67 44 22 47 90 23 45 67 360 21 45 45 92 67 0 46 134 68 68
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 44 68 91 108 24 46 68 65 23 71 67 90 67 43 69 68 45 89 89 207 0 107 46 23 68
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 111 273 23 87 362 110 94 41 71 41 71 90 43 90 47 65 135 70 66 48 64 47 65 45 67
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 47 69 66 68 69 44 110 47 247 22 92 88 22 47 67 66 68 92 68 20 67 0 23 90 92
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 65 69 135 43 90 93 200 115 66 47 67 89 88 26 45 43 91 90 66 45 47 112 66 93 135
Character a v e r a g e a n d i n s t a n t a n e o u s
Milliseconds 247 90 44 90 68 68 42 69 91 23 68 67 109 23 70 45 65 47 674 111 47 181 157 45 90
Character r a t e s o f c h a n g e , a n d s h o
Milliseconds 69 132 47 89 45 66 90 0 159 112 93 18 23 47 67 46 87 68 70 23 65 90 67 25 46
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 90 66 91 0 42 47 91 89 23 45 23 44 88 67 68 69 67 48 19 67 48 109 71 67 90
Character e l a e -e t e d t o t h e s l o p e o f
Milliseconds 89 67 89 157 229 111 68 90 45 90 67 43 115 44 45 46 109 25 21 46 21 93 87 67 71
Character a c u r v e a t a p o i n t P o n t
Milliseconds 90 68 43 68 66 45 46 67 92 132 93 111 69 134 20 24 46 67 91 203 202 112 45 68 66
Character h e c u r v e . W e g i v e p r e c i s e
Milliseconds 25 19 90 112 93 43 24 45 135 68 113 67 67 43 23 91 46 65 112 47 90 91 20 113 69
Character d e v e l o p m e n t s o f t h e s e i m
Milliseconds 65 90 46 67 46 92 43 47 90 67 20 71 20 49 133 68 89 113 0 42 91 0 89 70 112
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 92 41 68 24 46 23 89 43 70 67 21 92 68 41 48 43 70 89 23 69 67 19 47 66 92
Character e x t c h a p t e r , b u t f o r n o w
Milliseconds 45 20 45 90 91 22 47 21 70 109 115 133 249 91 65 45 70 65 23 93 67 109 26 69 66
Character w e u s e a n i n f o r m a l a p p r o c
Milliseconds 314 68 42 112 46 67 90 93 66 22 296 43 68 89 20 46 90 382 93 109 47 113 90 66 90
Character h -h -c a c h s o y o u w i l l s e e h o
Milliseconds 22 296 156 88 112 25 67 110 94 67 67 46 20 66 49 65 68 68 68 90 44 114 66 46 65
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 23 137 20 26 45 20 68 91 90 45 68 66 67 45 68 67 45 69 93 64 226 89 113 43 70
Character t h e m a i n i d e a o f t h i s c h a
Milliseconds 66 23 44 66 71 20 23 45 45 114 113 42 26 67 65 68 160 67 23 45 90 44 135 22 46
Character p t e r , t h e l i m i t . T h e i d e a
Milliseconds 44 133 115 111 48 86 116 19 71 43 47 44 45 90 89 91 68 200 26 133 69 156 113 66 22
Character o f a l i m t e -l -i -m -t -e - l i m i t p
Milliseconds 71 67 67 87 340 68 134 45 88 141 86 68 448 0 0 0 0 0 270 69 67 69 89 91 65
Character l a y s a f o u n d a t i o n r o l e -r -o
Milliseconds 68 46 43 68 47 65 71 87 22 26 44 43 70 67 65 26 0 65 114 46 65 45 46 203 0
Character -l -e - -f -o -u -n -d -a -t -i -o -n - r o -r -o f o u n d a t
Milliseconds 0 0 0 134 0 0 0 0 0 0 0 0 0 0 271 69 246 0 113 44 22 21 70 44 91
Character o i n a -a -n -i -o i o n a l r o l e t h r o u g
Milliseconds 114 0 19 69 291 159 133 160 203 0 21 22 158 66 93 44 92 43 91 67 21 24 44 24 66
Character h o u t c a l c u l u s .
Milliseconds 21 71 43 70 112 68 86 68 22 72 43 91 65 90
WPM Timing
Seconds WPM
1.45 149.46
2.89 103.79
4.34 119.01
5.78 132.85
7.23 132.85
8.67 138.39
10.12 143.53
11.56 140.12
13.01 139.31
14.45 130.36
15.9 130.59
17.34 133.54
18.79 134.13
20.23 135.22
21.68 139.49
23.12 141.16
24.57 138.22
26.01 138.85
27.46 139.84
28.9 143.65
30.35 144.32
31.79 145.68
33.24 144.4
34.69 145.31
36.13 146.8
37.58 146.9
39.02 147.31
40.47 144.71
41.91 145.74
43.36 147.8
44.8 146.51
46.25 147.9
47.69 147.95
49.14 148.48
50.58 149.46
52.03 151.07
53.47 151.25
54.92 151.21
56.36 150.31
57.81 148.84
59.25 150.07
60.7 150.25
62.14 151
63.59 150.97
65.03 149.83
66.48 147.83
67.93 145.93
69.37 144.1
70.82 143.02
72.26 143.48