Kerb (kerby_berby)

Race #32041

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Official speed 149.63 wpm (69.29 seconds elapsed during race)
Without ending ping 150.07 wpm (204 ms delay sending score to TypeRacer’s server)
Timerless 150.63 wpm (255 ms elapsed before first character typed; 68.83 seconds elapsed during race)
Timerless minus one 150.45 wpm, ignoring the first character typed
Race Start September 25, 2023 12:57:53am UTC
Race Finish September 25, 2023 12:59:02am UTC
Outcome Win (1 of 2)
Opponents 2. mr_overclocked (108.56 wpm)
Accuracy 98.6%
Points 404.01
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 hlepelopsps 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 functino of tfunction of time? How does the leve of wlevel of water in teh a barrel change as a function of the amount of liquid poured into it? We see change occurinring 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 idea s 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 ifinformal 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 255 215 170 385 133 152 130 70 48 104 216 81 73 46 121 48 108 120 64 47 65 40 43 51 96
Character l e p -p -e -l e l o p s -s -p -o p s u s u n d e r
Milliseconds 80 0 96 343 89 118 137 31 82 7 73 352 91 136 144 56 80 102 79 73 63 48 18 70 59
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 102 79 64 17 95 57 56 40 63 65 31 64 176 48 56 46 88 48 16 81 33 73 64 56 48
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 56 72 58 69 80 136 97 88 58 103 89 48 64 126 40 24 112 98 68 55 72 80 27 57 58
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 61 155 56 63 40 114 61 0 91 30 47 65 55 58 92 74 25 39 90 20 148 143 48 137 55
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 192 100 17 72 95 57 40 72 64 87 57 96 48 72 72 64 38 49 63 88 16 72 101 40 63
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 39 75 80 117 56 63 24 128 80 97 47 64 32 97 56 71 120 41 63 48 56 120 64 26 64
Character t i n o o f t -f -u -n -c -t -i -n -o - -o -f - -t f u n
Milliseconds 110 32 17 12 67 120 73 61 66 464 0 0 0 0 0 0 0 0 0 0 0 0 110 59 41
Character c t i o n o f t i m e ? H o w d o e s t
Milliseconds 60 128 28 31 21 36 95 71 40 48 57 40 56 143 41 168 122 48 125 180 71 88 31 82 40
Character h e l e v e o f w -l -e -v -e - -o -f - -w l e v e
Milliseconds 39 40 45 47 49 80 48 72 80 80 80 88 294 0 0 0 0 0 0 0 0 170 31 82 40
Character l o f w a t e r i n t e h - -h -e -t a b
Milliseconds 39 54 100 32 65 55 21 72 65 48 40 80 31 65 13 73 23 58 225 104 144 135 169 79 242
Character a r r e l c h a n g e a s a f u n c t i o
Milliseconds 231 64 120 64 48 40 88 48 63 23 98 48 86 80 32 72 48 73 136 56 39 73 104 47 25
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 7 64 96 64 33 63 50 14 48 72 57 90 45 56 16 74 79 47 72 97 71 80 103 93 69
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 81 95 161 175 73 63 64 73 24 31 88 32 56 80 57 144 39 145 112 103 81 55 95 79 78
Character h a n g e o c c u r i n -n -i r i n g i n n e
Milliseconds 62 32 74 53 48 55 113 96 95 73 88 128 48 344 111 89 88 31 56 48 80 41 47 145 87
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 57 72 73 73 81 71 88 41 39 64 113 271 64 101 49 94 51 64 146 116 60 60 25 38 136
Character e i n t h e w o r l d a n d u n i v e r
Milliseconds 41 55 72 24 89 47 72 8 64 57 47 49 71 56 64 76 82 80 35 81 80 32 88 89 87
Character s e , a n d p o w e r f u l m o d e r n i
Milliseconds 42 45 40 25 72 72 72 47 90 33 41 39 119 145 88 48 42 126 80 56 56 89 62 46 89
Character n s t r u m e n t s h e l p u s s e e m o
Milliseconds 48 56 119 64 23 106 88 55 96 56 56 122 56 32 128 56 104 72 65 311 39 97 49 31 56
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 56 32 48 55 56 71 56 40 56 41 47 64 48 112 145 47 72 39 57 31 74 79 51 54 119
Character i o n w e i n t r o d u c e t h e i d e a
Milliseconds 49 10 13 48 120 40 72 120 40 168 41 47 104 85 104 27 83 65 29 40 56 114 74 31 21
Character - s o f a v e r a g e a n d i n s t a n
Milliseconds 170 262 70 65 75 73 38 105 89 110 80 75 95 63 41 77 93 73 56 73 63 56 145 88 119
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 128 97 307 262 138 65 87 72 113 47 136 49 22 54 64 56 56 92 41 51 45 84 56 40 22
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 74 70 79 51 344 64 32 64 56 110 72 64 40 40 72 41 48 63 56 48 40 40 48 80 63
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 97 57 14 65 81 71 81 39 64 49 104 71 65 79 56 48 48 40 72 23 49 80 65 119 104
Character e o f a c u r v e a t a p o i n t P
Milliseconds 88 72 89 79 24 88 32 160 96 73 120 47 72 104 64 64 56 64 80 40 136 24 64 72 232
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 120 176 55 57 56 64 32 32 112 72 81 143 72 56 32 136 144 104 80 96 64 32 65 103 48
Character e c i s e d e v e l o p m e n t s o f t h e
Milliseconds 48 121 79 73 23 63 134 34 128 46 54 95 41 127 89 77 82 17 69 66 57 55 56 41 39
Character s e i m p o r t a n t c o n c e p t s i n
Milliseconds 89 40 56 77 64 56 17 72 40 30 105 113 136 128 39 41 72 56 24 328 47 112 88 30 74
Character t h e n e x t c h a p t e r , b u t f o r
Milliseconds 40 48 24 56 80 48 104 80 24 88 56 80 120 80 88 40 56 24 72 65 71 73 88 79 37
Character n o w w e u s e a n i f -f -i i n f o r m
Milliseconds 77 96 57 63 65 119 57 49 86 65 30 63 73 56 64 71 138 412 94 557 40 64 71 49 99
Character a l a p p r o a c h s o y o u w i l l s
Milliseconds 73 160 63 225 54 85 72 126 122 24 65 39 88 57 48 95 40 40 31 49 80 24 128 48 64
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 24 96 24 40 49 64 55 96 48 39 72 49 104 40 40 88 64 88 50 86 65 55 23 65 96
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 56 64 104 56 40 56 56 24 48 96 104 40 64 41 103 72 25 32 55 80 72 40 80 49 34
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 46 84 94 65 95 120 97 88 40 53 33 70 84 80 48 28 48 68 96 81 111 40 64 82 26
Character i d e a o f a l i m i t p l a y s a
Milliseconds 74 87 103 40 48 72 63 81 32 72 50 137 33 63 96 72 57 77 32 76 127 80 70 65 41
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 103 30 35 37 56 64 115 31 9 19 73 81 55 96 57 103 40 96 40 56 72 23 41 72 64
Character o u t c a l c u l u s .
Milliseconds 96 56 104 56 104 40 48 112 63 105 112 88 48
WPM Timing
Seconds WPM
1.39 51.95
2.77 99.58
4.16 77.93
5.54 86.59
6.93 109.11
8.31 116.9
9.7 127.41
11.09 129.89
12.47 135.66
13.86 137.68
15.24 128.31
16.63 130.61
18.02 126.56
19.4 128.65
20.79 122.96
22.17 126.64
23.56 131.42
24.94 132.77
26.33 133.53
27.72 131.19
29.1 131.54
30.49 133.82
31.87 136.29
33.26 137.82
34.65 138.55
36.03 140.21
37.42 141.43
38.8 141.33
40.19 141.83
41.57 139.7
42.96 141.34
44.35 142.06
45.73 143.79
47.12 143.89
48.5 143.74
49.89 143.84
51.28 144.63
52.66 145.84
54.05 145.87
55.43 146.56
56.82 146.78
58.2 144.53
59.59 144.39
60.98 145.83
62.36 146.82
63.75 147.39
65.13 148.13
66.52 148.65
67.91 149.86
69.29 149.63