Cowbell (morris_l)

Race #16273

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Official speed 144.90 wpm (71.55 seconds elapsed during race)
Without ending ping 145.42 wpm (254 ms delay sending score to TypeRacer’s server)
Timerless 146.51 wpm (534 ms elapsed before first character typed; 70.77 seconds elapsed during race)
Timerless minus one 146.34 wpm, ignoring the first character typed
Race Start May 9, 2024 5:05:34pm UTC
Race Finish May 9, 2024 5:06:46pm UTC
Outcome Win (1 of 3)
Opponents 2. ploppiplop (117.71 wpm)
Accuracy 97.4%
Points 391.22
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 Claalculsus ia s 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 momamount of liquid poured into it? We see change occuring in ring in earnearly everhinything we observe in the world and numniuniverse, and pwerfowerful modern instruments help us see amore and more. In this section we ontrintroduce the ideas of average and instanteaneous rateso of change, and show that they are clsoely rclosely related to the slope of a curve at a point P on the curbve. We give prcise precise develpomeopments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally into to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C l a -a -l a l c u l s -s u s i a - -a s a t
Milliseconds 534 123 60 322 110 69 86 73 64 89 406 240 102 62 30 50 59 88 354 108 71 57 61 86 23
Character o o l t h a t h e l p s u s u n d e r s t
Milliseconds 25 108 127 67 38 66 38 48 47 26 87 12 64 92 43 55 78 54 50 43 51 104 48 375 45
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 12 74 48 49 87 60 51 56 64 89 18 73 48 73 39 51 40 78 29 77 70 46 54 41 85
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 96 73 73 119 96 78 79 75 84 74 180 91 46 64 51 64 44 128 33 31 53 95 54 90 62
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 92 34 93 20 56 45 90 11 87 10 86 53 44 61 62 30 70 42 158 56 78 69 100 94 62
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 20 41 66 31 70 26 44 47 81 120 131 53 79 79 53 33 95 10 75 74 120 110 49 47 34
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 70 101 58 72 40 146 76 82 75 48 88 25 59 26 101 53 85 62 86 23 58 45 53 125 38
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 27 44 48 103 34 63 71 42 46 28 182 86 135 65 62 38 69 36 83 18 30 143 96 87 45
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 45 68 115 47 41 32 105 58 37 29 66 46 91 53 19 58 29 86 25 101 118 74 120 117 47
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 65 64 53 65 45 82 8 59 57 54 45 68 70 72 23 71 27 52 150 14 39 38 42 98 31
Character t h e m o m -m -o -m a m o u n t o f l i q u
Milliseconds 52 79 34 71 59 86 50 81 223 0 0 102 90 104 84 48 8 47 79 44 53 79 42 106 74
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 64 64 46 190 139 65 10 57 112 45 29 38 60 31 68 75 72 172 76 53 159 51 68 31 118
Character c h a n g e o c c u r i n g i n -i -n - - -g
Milliseconds 51 76 60 53 70 13 59 55 47 73 111 93 70 93 27 42 35 73 34 58 220 0 0 111 138
Character -n -i r i n g i n e a r -e -a -r n e a r l y e v
Milliseconds 115 137 93 94 30 58 48 56 14 94 158 13 27 343 0 0 123 46 9 17 63 51 56 66 98
Character e r h i n -n -i -h y t h i n g w e o b s e r v e
Milliseconds 130 46 125 134 64 219 125 91 179 59 75 71 90 52 44 28 32 102 51 137 166 17 43 115 60
Character i n t h e w o r l d a n d n u m n i -n -u
Milliseconds 31 40 36 91 30 68 93 55 59 28 73 41 82 31 29 79 47 31 97 79 157 0 52 202 0
Character -m -n -i u n i v e r s e , a n d p w e r f -f -r -e
Milliseconds 0 0 0 175 56 100 73 105 37 86 39 75 68 21 63 54 46 52 88 23 78 169 162 116 134
Character -w o w e r f u l m o d e r n i n s t r u m e n
Milliseconds 257 169 47 2 31 100 46 84 82 68 58 62 118 17 48 66 50 56 32 24 106 71 145 72 69
Character t s h e l p u s s e e a -a m o r e a n d
Milliseconds 50 54 59 66 60 64 75 59 88 80 78 84 22 129 67 39 214 415 66 3 37 28 23 79 45
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 33 61 29 55 24 81 28 172 70 88 46 56 30 38 47 88 23 115 138 62 28 22 46 75 17
Character o n t r -o -n -t -r i n t r o d u c e t h e i d
Milliseconds 67 84 31 57 125 132 0 0 0 143 22 39 127 32 72 82 54 30 66 68 14 56 58 65 56
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 139 40 63 70 39 75 53 35 114 103 64 88 90 64 26 57 106 21 57 116 30 180 89 105 136
Character t e -e a n e o u s r a t e s o - - -o o f
Milliseconds 183 90 421 65 76 67 148 82 58 49 59 96 48 64 63 85 10 85 269 103 136 69 108 64 92
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 48 77 35 107 2 74 77 44 21 97 26 45 64 53 54 48 49 64 85 41 82 81 57 14 91
Character y a r e c l s o e l y r -r -c -l -s -o -e -l -y - c
Milliseconds 25 61 46 36 54 119 142 84 92 14 10 113 110 54 4 187 102 0 0 0 0 0 0 0 116
Character l o s e l y r e l a t e d t o t h e s l o
Milliseconds 100 122 28 21 86 112 66 27 37 108 71 72 29 128 43 41 33 81 49 77 55 68 56 58 120
Character p e o f a c u r v e a t a p o i n t
Milliseconds 62 30 47 72 54 53 68 76 18 75 84 121 91 25 85 52 55 55 99 79 26 30 48 43 42
Character P o n t h e c u r b -b v e . W e g i v e
Milliseconds 163 102 140 40 66 62 58 35 64 62 54 97 222 400 153 101 94 53 77 132 52 98 85 83 40
Character p r c i s e -p -r -c -i -s -e - p r e c i s e d e
Milliseconds 41 53 49 149 60 82 31 57 200 0 0 0 0 0 0 211 75 40 124 75 64 34 63 91 131
Character v e l p o m e -e -m -o -p o p m e n t s o f t h e
Milliseconds 78 87 80 156 3 146 71 247 103 124 112 170 71 140 69 86 44 74 88 34 75 80 48 52 6
Character s e i m p o r t a n t c o n c e p t s i n
Milliseconds 123 42 47 79 38 95 108 63 122 55 76 44 74 80 59 43 33 34 63 81 83 36 85 38 57
Character t h e n e x t c h a p t e r , b u t f o r
Milliseconds 46 63 53 42 88 38 133 153 62 98 37 74 65 62 110 41 38 65 74 82 76 18 128 121 85
Character n o w w e u s e a n i n f o r m a l a
Milliseconds 34 55 46 212 98 63 29 88 121 72 23 51 43 64 71 66 53 36 89 82 112 112 135 115 39
Character p p r o a c h s o y o u w i l l s e e h
Milliseconds 75 105 122 47 120 70 96 76 36 103 90 64 42 79 74 25 68 149 105 82 36 23 118 123 175
Character o w t h e y l e a d n a t u r a l l y i n
Milliseconds 23 67 28 46 56 77 46 61 81 35 43 86 38 114 42 63 84 53 28 88 101 84 54 100 54
Character t o -i -n -t -o - t o t h e m a i n i d e a
Milliseconds 47 48 85 226 0 0 0 0 224 66 63 52 53 50 42 80 65 53 55 46 79 52 114 26 23
Character o f t h i s c h a p t e r , t h e l i m i
Milliseconds 74 64 42 88 35 50 41 37 67 20 38 75 67 100 57 27 52 78 33 59 67 12 55 91 76
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 94 80 31 218 62 58 28 53 60 106 21 53 82 73 29 41 106 38 60 104 75 111 47 73 101
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 30 126 50 58 82 65 54 102 67 3 53 85 64 73 45 18 56 104 65 46 72 110 44 52 58
Character h r o u g h o u t c a l c u l u s .
Milliseconds 44 102 40 49 62 91 66 82 71 60 86 43 69 90 80 74 142 71 93
WPM Timing
Seconds WPM
1.43 33.54
2.86 41.93
4.29 86.65
5.72 104.82
7.16 120.75
8.59 127.18
10.02 136.56
11.45 142.55
12.88 146.28
14.31 149.26
15.74 153.99
17.17 156.53
18.6 158.03
20.03 156.93
21.47 157.09
22.9 155.65
24.33 150.44
25.76 147.21
27.19 146.08
28.62 147.16
30.05 146.15
31.48 142.17
32.91 144.01
34.35 141.85
35.78 144.56
37.21 144.49
38.64 145.97
40.07 144.05
41.5 142.55
42.93 143.11
44.36 142.82
45.79 142.03
47.22 143.57
48.66 144.28
50.09 142.55
51.52 140.46
52.95 139.61
54.38 138.36
55.81 139.54
57.24 140.25
58.67 140.71
60.1 141.15
61.54 141.38
62.97 142.17
64.4 141.06
65.83 142.73
67.26 143.44
68.69 144.12
70.12 145.29
71.55 144.9