Shauwaun (shauwaun_)

Race #3

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Official speed 123.06 wpm (84.25 seconds elapsed during race)
Without ending ping 123.32 wpm (181 ms delay sending score to TypeRacer’s server)
Timerless 124.24 wpm (618 ms elapsed before first character typed; 83.45 seconds elapsed during race)
Timerless minus one 124.09 wpm, ignoring the first character typed
Race Start January 3, 2024 6:44:14pm UTC
Race Finish January 3, 2024 6:45:38pm UTC
Outcome Win (1 of 4)
Accuracy 97.0%
Points 332.25
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 Clacualculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does th se 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 g we obesrerseserver e in the world and universe, and powerful modern instruments help us msee more and more. In this section we introduce the ideas of adverage and instanteanoeous rates of change, and show that they are closely related to the lslope of a cuerrve at thea point P on the scurve. We give precise developments of these important concepts in the next chapter, but wfor now we are uuse an informal approach so you will see how they lead knaturally ito the main ideas of this chapter, the limit. The idea of a limit plays thea foundational role throughout calculus.
Timing
Character C l a c u -u -c -a -l a l c u l u s i s a t o o
Milliseconds 618 131 29 115 85 177 135 113 111 24 122 39 130 255 164 76 75 126 52 95 85 130 46 67 140
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 112 22 52 140 9 266 94 76 35 57 137 38 75 71 54 99 61 133 22 88 73 86 54 66 55
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 39 65 48 59 37 86 70 72 81 65 63 53 59 54 48 28 141 35 106 120 6 78 35 151 132
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 115 102 80 80 131 43 92 62 97 138 50 106 61 32 66 141 37 38 79 72 46 120 46 70 62
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 80 62 48 58 14 188 64 22 65 142 49 135 42 39 84 70 86 92 65 35 103 111 28 40 73
Character t h s -s - e s p e e d o f a f a l l i n
Milliseconds 73 124 149 125 169 142 126 35 33 85 111 148 144 62 57 38 88 39 114 5 48 84 140 132 117
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 36 32 89 45 109 49 128 94 10 81 115 86 83 63 43 119 17 66 98 59 93 4 105 137 59
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 20 65 136 349 150 91 54 36 105 34 132 36 157 56 78 137 46 51 86 57 68 60 63 55 139
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 0 53 91 43 60 71 105 41 135 65 55 81 23 97 73 74 71 38 133 58 67 98 64 45 126
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 135 19 86 111 55 74 71 73 60 37 72 33 71 76 73 79 20 48 142 28 48 67 133 134 65
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 71 80 55 98 104 14 67 58 73 119 145 129 35 42 73 51 46 35 144 73 53 168 101 49 125
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 380 129 34 51 113 52 14 121 39 104 65 68 46 175 64 47 191 90 83 80 153 73 89 78 63
Character n g e o c c u r r i n g i n n e a r l y e
Milliseconds 98 78 47 56 117 110 131 124 109 142 90 118 35 76 48 126 28 173 161 60 46 116 72 57 56
Character v e r y t h i n g -g - g w e o b e s r -r -s -e
Milliseconds 83 67 21 74 172 192 114 184 216 361 91 212 142 72 56 53 78 157 328 137 75 62 251 139 138
Character e r -r s e -e -s -e s e r v e r - -r -e - e i n
Milliseconds 81 21 216 80 44 90 127 131 97 52 29 155 48 32 174 156 139 118 126 227 200 151 78 133 40
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 51 109 15 72 63 65 57 103 56 70 57 27 86 120 103 124 139 28 92 77 77 85 64 103 57
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 123 64 42 205 171 13 25 86 102 11 179 89 72 124 35 74 55 56 101 60 140 35 29 87 47
Character m e n t s h e l p u s m -m s e e m o r e
Milliseconds 162 127 118 71 55 83 66 59 65 147 137 98 103 55 46 368 129 51 142 56 63 127 19 31 65
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 29 79 49 67 65 149 63 9 98 85 98 133 20 38 142 20 74 94 60 87 65 132 25 131 126
Character w e i n t r o d u c e t h e i d e a s o
Milliseconds 63 54 100 74 48 150 37 53 94 150 131 85 76 79 54 113 0 72 73 75 135 54 81 72 64
Character f a d -d v e r a g e a n d i n s t a n t e -e
Milliseconds 50 56 58 110 206 102 76 118 74 105 14 93 72 88 27 85 80 138 60 70 88 121 89 269 187
Character a n o -o e o u s r a t e s o f c h a n g e ,
Milliseconds 144 69 160 265 81 54 129 59 73 90 86 89 62 62 47 65 38 96 31 77 73 89 82 32 97
Character a n d s h o w t h a t t h e y a r e c
Milliseconds 71 49 60 71 103 80 46 74 73 46 71 138 30 101 63 70 121 57 110 86 76 88 36 85 171
Character l o s e l y r e l a t e d t o t h e l -l s
Milliseconds 54 130 23 61 79 90 103 156 52 154 73 42 59 162 78 28 100 56 18 135 19 35 170 214 92
Character l o p e o f a c u e r -r -e r v e a t t h
Milliseconds 45 149 126 51 48 65 29 78 33 93 73 122 106 106 91 178 326 70 96 150 62 41 84 70 146
Character e -e -h -t a p o i n t P o n t h e s -s c u
Milliseconds 63 99 133 142 49 37 68 163 149 144 72 44 107 648 95 148 34 39 138 8 78 85 213 126 62
Character r v e . W e g i v e p r e c i s e d e v e
Milliseconds 72 170 36 89 36 97 117 113 76 70 96 33 64 69 118 55 96 78 94 78 42 113 133 73 81
Character l o p m e n t s o f t h e s e i m p o r t a
Milliseconds 31 144 134 151 55 132 55 66 65 30 80 83 58 108 75 57 75 48 59 134 166 139 23 57 47
Character n t c o n c e p t s i n t h e n e x t c
Milliseconds 60 65 79 80 34 152 82 73 110 72 75 90 27 126 65 34 126 16 49 69 74 196 91 42 89
Character h a p t e r , b u t w -w f o r n o w w e
Milliseconds 56 85 76 91 53 92 70 240 109 96 95 25 72 134 210 100 50 86 35 176 220 94 76 85 98
Character a r e u -u - -e -r -a u s e a n i n f o r m a l
Milliseconds 45 63 52 63 29 320 134 112 139 146 114 114 54 11 56 76 74 98 121 37 111 36 119 72 126
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 127 67 84 124 42 99 81 72 10 85 198 115 55 56 34 128 35 12 104 149 95 71 31 56 185
Character h o w t h e y l e a d k -k n a t u r a l l
Milliseconds 144 80 79 52 55 46 133 47 89 8 70 78 75 70 74 51 144 150 73 79 138 88 68 82 110
Character y i -i t o t h e m a i n i d e a s -s o f
Milliseconds 49 36 90 180 63 74 51 55 103 7 57 87 52 92 142 84 52 87 141 77 55 228 224 82 53
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 83 61 100 56 46 57 97 51 66 90 65 64 68 68 96 294 149 16 26 75 112 143 112 35 145
Character T h e i d e a o f a l i m i t p l a y
Milliseconds 24 67 98 42 79 40 78 148 52 98 71 76 60 50 95 78 159 116 115 46 39 108 110 30 25
Character s t h e -e -h -t a f o u n d a t i o n a l r o
Milliseconds 116 97 35 155 0 220 137 125 90 25 39 40 129 129 31 95 50 51 130 123 99 94 145 48 66
Character l e t h r o u g h o u t c a l c u l u s .
Milliseconds 123 14 48 42 138 31 31 148 36 85 153 119 44 53 298 103 95 34 117 150 275 100 97
WPM Timing
Seconds WPM
1.69 21.36
3.37 71.22
5.06 94.95
6.74 117.51
8.43 122.49
10.11 129.37
11.8 126.15
13.48 128.19
15.17 131.35
16.85 131.75
18.54 135.31
20.22 138.28
21.91 139.14
23.59 137.85
25.28 137.68
26.96 136.64
28.65 134.47
30.33 129.77
32.02 124.44
33.7 120.35
35.39 122.08
37.07 123.01
38.76 123.54
40.44 124.03
42.13 124.77
43.81 125.72
45.5 125.81
47.18 123.36
48.87 125
50.55 125.81
52.24 126.58
53.92 125.52
55.61 123.66
57.29 122.53
58.98 122.29
60.66 122.65
62.35 123.57
64.03 124.25
65.72 123.8
67.4 122.49
69.09 122.11
70.77 122.76
72.46 123.05
74.14 123.33
75.83 123.12
77.51 123.23
79.2 123.94
80.88 123.29
82.57 123.68
84.25 123.06