Dork (cheesebutt)

Race #360

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Official speed 138.62 wpm (74.79 seconds elapsed during race)
Without ending ping 138.79 wpm (93 ms delay sending score to TypeRacer’s server)
Timerless 139.37 wpm (308 ms elapsed before first character typed; 74.39 seconds elapsed during race)
Timerless minus one 139.21 wpm, ignoring the first character typed
Race Start April 23, 2024 4:02:36am UTC
Race Finish April 23, 2024 4:03:50am UTC
Outcome Win (1 of 2)
Accuracy 99.5%
Points 374.26
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 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 observed in t in the world and tuniverse, 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 the ese 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 plaeys 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 308 139 57 134 133 98 152 119 73 56 81 83 88 92 53 51 132 155 176 88 104 81 54 77 66
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 106 95 37 165 61 42 111 51 83 167 36 149 21 143 83 84 83 47 71 62 83 40 68 92 70
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 87 81 98 84 64 76 59 64 40 101 79 83 64 53 118 66 149 52 100 99 100 85 82 104 64
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 50 82 53 100 67 62 66 123 98 64 67 90 76 100 88 51 127 34 86 65 66 51 50 88 43
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 71 75 35 100 71 82 56 68 126 68 70 96 68 97 75 61 55 68 92 68 116 68 61 74 146
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 134 69 82 67 49 88 77 52 84 66 159 47 92 71 60 77 84 75 58 147 132 48 119 104 109
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 51 99 68 84 72 111 50 83 100 17 98 176 20 144 44 108 11 95 120 69 67 88 42 74 79
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 171 96 130 135 34 99 66 67 83 51 35 71 90 75 24 121 34 100 83 65 75 76 52 65 63
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 83 23 97 69 64 67 50 74 60 89 93 107 94 120 115 79 84 68 81 33 121 32 71 61 75
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 93 55 65 87 48 65 164 19 150 27 108 48 68 95 55 63 80 66 51 49 67 87 119 81 151
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 46 57 75 60 60 41 89 87 99 86 71 85 60 67 99 69 35 133 51 46 66 81 100 85 90
Character t ? W e s e e c h a n g e o c c u r r i n
Milliseconds 61 154 145 136 302 147 146 71 160 90 121 64 115 23 60 79 65 126 101 125 71 81 104 87 61
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 70 58 145 77 83 193 90 35 65 86 85 61 38 112 102 65 46 86 84 114 44 64 84 61 51
Character o b s e r v e d i n t -t - -n -i - -d i n t
Milliseconds 118 83 63 118 103 82 169 99 112 60 79 46 67 65 305 133 114 124 130 132 119 100 67 49 67
Character h e w o r l d a n d t -t u n i v e r s e ,
Milliseconds 79 57 59 65 77 76 91 72 55 61 74 49 78 105 269 97 167 23 59 119 68 79 66 120 98
Character a n d p o w e r f u l m o d e r n i n s t r
Milliseconds 51 83 66 50 132 101 73 48 76 135 42 73 94 75 57 77 116 48 72 84 68 45 55 59 134
Character u m e n t s h e l p u s s e e m o r e a
Milliseconds 42 154 59 82 49 100 26 76 153 94 109 93 86 96 66 100 64 137 100 56 41 83 32 60 48
Character n d m o r e . I n t h i s s e c t i o n
Milliseconds 65 71 61 87 49 61 35 87 85 147 172 60 100 83 68 72 56 84 137 169 149 55 47 46 64
Character w e i n t r o d u c e t h e i d e a s o f
Milliseconds 55 31 123 85 56 83 121 56 99 77 81 155 19 69 79 65 44 69 58 132 64 129 72 103 67
Character a v e r a g e a n d i n s t a n t a n e o u
Milliseconds 48 171 87 149 47 120 52 121 87 62 91 63 60 87 65 48 60 57 132 78 107 332 142 194 59
Character s r a t e s o f c h a n g e , a n d s h
Milliseconds 131 68 127 85 117 81 83 39 94 49 67 90 95 35 171 11 169 231 101 39 63 52 75 54 80
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 55 76 57 77 102 14 58 47 96 70 96 37 51 46 70 46 83 135 82 155 32 37 95 84 67
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 117 34 101 76 69 51 116 86 64 76 76 51 47 66 67 70 52 188 48 169 59 136 69 47 72
Character c u r v e a t a p o i n t P o n t h
Milliseconds 90 84 83 71 142 124 84 66 150 121 80 115 100 55 48 48 56 60 158 114 110 86 65 47 91
Character e c u r v e . W e g i v e p r e c i s e
Milliseconds 36 60 99 71 60 152 70 98 96 127 59 67 114 104 83 71 68 106 73 47 161 110 97 82 118
Character d e v e l o p m e n t s o f t h e e -e - s e
Milliseconds 133 137 114 82 68 149 51 139 100 78 48 84 56 83 57 60 78 51 81 47 120 217 118 85 64
Character i m p o r t a n t c o n c e p t s i n t h
Milliseconds 80 100 103 117 64 68 135 83 50 48 69 80 67 66 71 166 96 59 92 56 62 84 70 25 125
Character e n e x t c h a p t e r , b u t f o r n
Milliseconds 110 74 58 50 128 89 51 143 83 64 366 53 79 83 66 101 123 94 82 50 103 68 69 63 44
Character o w w e u s e a n i n f o r m a l a p p
Milliseconds 52 71 77 108 32 131 149 55 65 80 70 92 72 82 54 93 100 87 73 111 96 53 83 116 152
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 52 138 77 64 153 134 97 83 82 66 66 106 35 77 118 26 143 81 38 59 137 71 76 60 89
Character t h e y l e a d n a t u r a l l y t o t
Milliseconds 71 89 68 73 87 63 83 59 80 81 63 50 71 79 61 84 76 47 136 80 89 98 63 70 64
Character h e m a i n i d e a o f t h i s c h a p
Milliseconds 66 55 65 81 43 93 86 62 85 57 165 109 39 76 60 47 85 62 50 46 50 101 56 110 67
Character t e r , t h e l i m i t . T h e i d e a
Milliseconds 51 99 67 87 83 50 66 64 67 33 72 100 94 110 64 100 96 80 72 61 53 81 134 65 67
Character o f a l i m i t p l a e -e y s a f o u n
Milliseconds 90 59 61 41 103 40 79 117 88 76 114 67 71 84 59 293 146 67 53 80 90 66 60 47 155
Character d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 48 47 155 82 66 46 84 87 50 66 77 135 324 131 53 64 133 3 84 148 22 161 52 100 80
Character c a l c u l u s .
Milliseconds 97 100 13 114 60 98 119 150 100
WPM Timing
Seconds WPM
1.5 96.26
2.99 112.31
4.49 125.68
5.98 132.36
7.48 134.77
8.98 140.38
10.47 142.1
11.97 142.39
13.46 142.61
14.96 141.99
16.45 142.94
17.95 144.4
19.45 145.63
20.94 146.69
22.44 147.6
23.93 143.39
25.43 143.45
26.93 143.5
28.42 140.6
29.92 137.18
31.41 135.99
32.91 136.37
34.41 137.42
35.9 138.05
37.4 137.98
38.89 138.53
40.39 138.45
41.88 138.09
43.38 137.48
44.88 137.71
46.37 138.7
47.87 139.13
49.36 138.8
50.86 139.21
52.36 138.9
53.85 138.16
55.35 137.46
56.84 137.64
58.34 137.2
59.84 137.78
61.33 137.74
62.83 137.52
64.32 138.05
65.82 138.56
67.31 139.05
68.81 139.34
70.31 139.79
71.8 139.21
73.3 138.99
74.79 138.62