Kerb (kerby_berby)

Race #32048

View Pit Stop page for race #32048 by kerby_berbyGhost race

View profile for Kerb (kerby_berby)

Official speed 146.84 wpm (70.61 seconds elapsed during race)
Without ending ping 147.04 wpm (96 ms delay sending score to TypeRacer’s server)
Timerless 147.67 wpm (301 ms elapsed before first character typed; 70.21 seconds elapsed during race)
Timerless minus one 147.50 wpm, ignoring the first character typed
Race Start September 25, 2023 1:08:47am UTC
Race Finish September 25, 2023 1:09:58am UTC
Outcome Win (1 of 2)
Opponents 2. mr_overclocked (110.64 wpm)
Accuracy 98.4%
Points 396.46
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 Caclculus us is a tool that helps us understand how ac 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 leve of l of water in a barrel change as a function of the amount of liquid poured into it? We see change occuringring 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 ss of average and instantaneous rates of change, and show that they are closely realtlated 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 chatper, chapter, the limit. The idea of a limit plays a foundation aal trole thorughotirhhroughout calculus.
Timing
Character C a c -c l c u l u s u s - -s -u i s a t o o
Milliseconds 301 168 144 440 178 72 136 160 94 73 55 116 86 62 225 104 129 162 68 72 27 70 113 39 121
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 310 44 111 65 55 48 65 71 56 33 88 175 134 153 88 64 64 48 25 47 88 104 73 40 56
Character d h o w a c - -c c h a n g e i n o n e
Milliseconds 79 64 48 48 40 48 88 24 0 409 103 88 40 104 17 95 32 55 41 71 48 49 71 32 72
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 41 85 56 89 65 136 83 64 57 48 80 63 64 103 41 33 95 104 72 62 58 72 33 47 49
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 53 386 41 71 40 72 56 32 57 48 48 21 83 39 72 72 39 49 72 24 142 112 24 120 40
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 112 32 55 73 64 40 31 57 87 73 103 104 64 39 81 48 56 48 48 104 32 64 112 24 80
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 24 96 72 89 71 48 33 131 72 88 40 65 31 85 56 32 152 48 80 40 80 95 73 40 40
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 121 40 15 8 80 80 80 40 64 64 30 66 136 40 176 128 40 145 199 89 55 16 73 63 32
Character e l e v e o f - -f -o - l o f w a t e r
Milliseconds 40 56 48 48 111 33 111 56 105 71 248 72 136 137 143 57 95 104 56 89 39 104 65 47 48
Character i n a b a r r e l c h a n g e a s a f
Milliseconds 67 32 48 56 54 98 72 40 127 49 88 14 90 48 64 40 79 41 63 88 41 79 49 71 78
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 90 38 48 112 32 19 18 72 119 77 19 71 49 40 39 57 74 78 76 41 40 95 73 96 48
Character l i q u i d p o u r e d i n t o i t ? W e
Milliseconds 80 72 110 102 115 75 72 81 72 143 49 79 57 48 48 48 85 48 23 123 62 159 41 135 121
Character s e e c h a n g e o c c u r i n g -g -n -i r i
Milliseconds 95 76 54 89 64 55 72 62 48 64 56 40 137 87 96 80 81 95 48 112 241 111 138 98 94
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 32 33 63 64 48 56 104 118 65 80 72 112 95 64 72 65 39 48 80 40 72 41 48 64 79
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 48 48 80 57 44 29 47 143 42 32 74 21 79 51 64 15 61 51 48 64 81 50 49 87 73
Character d u n i v e r s e , a n d p o w e r f u l
Milliseconds 127 51 57 72 63 48 88 88 41 55 49 31 81 79 69 52 80 55 50 40 120 103 65 31 56
Character m o d e r n i n s t r u m e n t s h e l p u
Milliseconds 104 56 81 32 87 65 48 71 72 72 32 57 31 88 88 64 88 57 55 80 65 14 177 137 136
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 71 72 176 32 120 89 40 72 87 40 40 73 39 97 23 72 33 71 40 65 40 111 129 55 56
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 40 65 47 73 95 40 48 128 32 12 28 32 81 39 56 145 112 550 57 31 96 88 104 64 104
Character t h e i d e a s -s - s o f a v e r a g e
Milliseconds 40 64 15 65 64 41 47 16 104 57 311 96 81 63 72 72 41 56 119 81 96 47 137 63 57
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 55 105 55 64 48 56 74 135 67 96 144 73 263 101 171 68 92 77 104 40 136 57 22 81 49
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 63 48 80 40 97 15 113 39 64 26 70 104 88 81 47 64 32 57 72 71 63 33 64 32 56
Character h e y a r e c l o s e l y r e a l t -t -l -a l
Milliseconds 56 25 87 65 39 48 32 48 80 72 80 89 18 114 71 93 108 52 96 22 162 234 79 138 121
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 56 44 75 52 80 65 46 50 48 64 21 74 72 88 136 96 80 79 80 48 73 408 96 65 74
Character r v e a t a p o i n t P o n t h e c
Milliseconds 83 130 48 41 111 49 71 47 63 80 48 137 39 32 81 120 207 136 49 48 47 64 23 34 111
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 65 87 144 52 63 46 95 120 80 89 79 81 39 56 88 57 56 144 95 64 40 64 88 41 111
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 40 49 119 16 152 41 111 57 48 55 64 56 64 57 55 33 80 48 48 79 40 89 31 48 32
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 40 81 72 79 88 31 41 80 65 72 96 48 63 88 23 57 17 80 11 77 104 59 96 80 23
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 109 48 80 117 45 98 47 41 32 71 56 62 72 72 71 17 63 60 64 38 91 41 68 64 89
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 47 40 55 66 63 80 72 88 616 88 64 72 73 79 48 108 67 88 66 86 82 40 47 48 49
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 63 64 72 37 41 49 39 88 24 129 55 136 41 96 48 39 48 56 65 55 72 17 111 48 185
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 80 32 87 105 95 41 72 70 58 22 82 95 31 97 284 46 53 82 74 17 84 85 88 58 55
Character i d e a o f t h i s c h a t p e r , -c -h
Milliseconds 53 85 81 22 33 57 80 55 88 56 63 41 33 87 65 71 40 137 10 117 56 64 33 288 0
Character -a -t -p -e -r -, - c h a p t e r , t h e l i m i t
Milliseconds 0 0 0 0 0 0 0 319 73 63 107 97 86 36 68 32 49 56 31 40 67 61 75 105 80
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 91 41 82 82 47 62 83 60 30 23 74 81 72 48 38 57 112 40 55 96 56 93 83 40 99
Character y s a f o u n d a t i o n a -a - a l t -t r
Milliseconds 87 64 32 80 33 86 41 32 39 56 113 96 81 19 17 57 40 393 96 183 72 56 95 401 153
Character o l e t h o r u g h o -t -h -o -r -u -g -h -o t i r h -h
Milliseconds 48 112 56 72 63 48 80 12 11 106 46 74 319 0 0 0 0 0 0 0 130 55 104 64 288
Character -r -i h r o u g h o u t c a l c u l u s .
Milliseconds 104 128 144 48 64 56 32 104 96 56 104 56 94 42 64 104 80 104 120 81 56
WPM Timing
Seconds WPM
1.41 33.99
2.82 46.74
4.24 79.31
5.65 101.97
7.06 105.37
8.47 116.13
9.89 123.82
11.3 130.65
12.71 136.91
14.12 141.91
15.53 140.6
16.95 137.38
18.36 138.58
19.77 141.43
21.18 145.59
22.59 146.05
24.01 146.46
25.42 142.57
26.83 144.46
28.24 147.43
29.66 149.32
31.07 150.64
32.48 150
33.89 151.54
35.3 150.92
36.72 149.36
38.13 150.13
39.54 148.41
40.95 149.73
42.36 151.54
43.78 149.12
45.19 148.71
46.6 149.1
48.01 148.96
49.43 149.32
50.84 150.6
52.25 151.81
53.66 152.51
55.07 151.87
56.49 152.11
57.9 152.96
59.31 152.76
60.72 153.75
62.13 150.83
63.55 151.64
64.96 152.4
66.37 151.33
67.78 149.42
69.2 146.72
70.61 146.84