Zander (z4gee)

Race #516

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Official speed 125.34 wpm (82.72 seconds elapsed during race)
Without ending ping 125.68 wpm (222 ms delay sending score to TypeRacer’s server)
Timerless 126.33 wpm (428 ms elapsed before first character typed; 82.07 seconds elapsed during race)
Timerless minus one 126.19 wpm, ignoring the first character typed
Race Start October 21, 2023 10:58:12am UTC
Race Finish October 21, 2023 10:59:35am UTC
Outcome No win (3 of 3)
Opponents 1. parkevan27 (162.17 wpm)
2. altrocality (135.88 wpm)
Accuracy 98.7%
Points 338.41
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 athe amount of liquid poured into it? We see change occuring in occurring in nearly everything we observe in the world and universe, and powerful modern instruments elhhelp us see more and more. In this section we introduce the dideas of average and instanteaneous 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 developmentse of t of these important concepts in the next chapter, but for now wse usewe use an informal approach so you will se how te how they lead naturally to the main idea of this chapter, the limit. The idea of a limit palys aplays 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 428 123 129 132 255 136 84 92 41 89 157 0 176 0 121 0 153 83 62 83 59 25 78 46 45
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 82 53 75 92 63 42 96 73 162 48 69 135 70 177 79 102 68 114 50 92 63 0 163 0 281
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 0 0 0 83 70 50 49 84 61 79 94 63 33 49 134 97 131 23 125 74 95 71 81 79 64
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 80 61 56 76 81 67 57 140 40 79 68 78 51 124 145 88 85 35 86 75 84 72 52 85 50
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 88 42 28 105 47 70 107 70 160 121 27 93 131 53 103 52 29 95 134 0 157 141 84 86 132
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 156 73 25 118 91 131 155 102 43 76 97 71 68 48 49 90 68 165 75 64 198 56 224 92 113
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 39 128 43 70 77 87 63 53 106 64 58 51 93 201 62 44 54 52 130 52 52 132 29 70 40
Character . -. ? H o w d o e s t h e l e v e l o f
Milliseconds 227 274 196 100 259 120 44 76 114 32 131 53 76 97 47 84 116 99 0 195 0 0 73 124 0
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 56 87 55 67 95 79 16 131 49 79 74 125 122 48 100 168 65 59 60 108 73 57 63 88 51
Character a s a f u n c t i o n o f a -a t h e a
Milliseconds 85 67 72 91 50 83 72 65 43 85 170 42 52 48 51 104 55 63 86 330 95 83 60 56 116
Character m o u n t o f l i q u i d p o u r e d i n
Milliseconds 33 131 70 140 46 53 47 101 52 79 75 95 111 67 113 48 173 157 66 33 48 146 33 87 49
Character t o i t ? W e s e e c h a n g e o c c u
Milliseconds 67 80 76 121 23 228 116 241 180 88 115 135 158 68 103 49 59 66 67 76 70 95 134 138 102
Character r i n g i n -i -n - -o -c -c -u -r -i -n -g - o c c u r
Milliseconds 76 116 66 27 67 64 46 68 311 0 0 146 0 0 0 0 0 0 0 0 270 92 268 148 369
Character r i n g i n n e a r l y e v e r y t h i n g
Milliseconds 81 134 0 98 0 68 50 77 93 15 86 29 103 93 55 166 118 100 101 113 63 107 63 104 0
Character w e o b s e r v e i n t h e w o r l d
Milliseconds 74 66 34 75 172 56 262 35 69 153 83 50 89 54 58 86 61 54 77 70 123 42 90 75 48
Character a n d u n i v e r s e , a n d p o w e r f u
Milliseconds 73 49 91 59 81 124 47 78 68 95 88 65 87 76 78 79 75 41 266 66 79 19 72 163 30
Character l m o d e r n i n s t r u m e n t s e l h -e
Milliseconds 32 104 202 51 88 147 50 55 89 74 53 77 78 52 56 153 34 114 40 68 39 166 47 71 355
Character -l -h h e l p u s s e e m o r e a n d m o
Milliseconds 0 0 191 70 72 67 61 124 88 69 114 79 142 85 47 57 60 63 16 97 44 100 64 16 54
Character r e . I n t h i s s e c t i o n w e i n
Milliseconds 92 42 110 270 154 135 77 78 43 49 38 62 86 31 121 175 47 39 54 60 65 53 92 59 68
Character t r o d u c e t h e d -d i d e a s o f a v
Milliseconds 65 51 47 122 99 104 27 69 95 50 58 46 127 274 169 49 145 76 137 68 63 90 50 101 131
Character e r a g e a n d i n s t a n t e -e a n e o u s
Milliseconds 97 86 225 60 113 54 100 80 84 122 20 56 43 89 60 84 377 51 282 89 124 68 101 45 65
Character r a t e s o f c h a n g e , a n d s h o
Milliseconds 55 353 66 101 81 33 71 104 188 0 284 0 0 101 50 51 55 131 140 61 92 64 77 79 40
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 53 75 56 112 132 81 75 122 57 95 66 85 138 78 44 44 128 57 131 19 65 113 71 64 128
Character e l a t e d t o t h e s l o p e o f a
Milliseconds 44 77 47 79 45 163 53 75 65 74 79 48 48 80 82 56 176 76 57 81 87 71 61 76 117
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 98 91 117 177 82 53 116 61 52 88 99 307 176 72 51 26 48 270 120 80 71 95 127 69 45
Character c u r v e . W e g i v e p r e c i s e d
Milliseconds 68 71 105 106 189 73 100 150 239 158 88 64 121 52 63 57 115 72 58 127 63 84 69 55 185
Character e v e l o p m e n t s e o f t -t - -f -o - -e o
Milliseconds 137 94 82 40 163 51 195 39 127 39 72 31 30 52 74 70 121 266 180 180 156 174 142 97 106
Character f t h e s e i m p o r t a n t c o n c e p t
Milliseconds 47 55 156 44 63 95 66 86 153 85 47 53 48 83 106 38 80 73 122 46 48 71 81 138 117
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 168 97 112 47 47 75 64 70 32 100 335 184 78 83 146 71 72 66 110 118 57 49 116 93 46
Character t f o r n o w w s e u s e -u -s -e -w -s -e - w
Milliseconds 28 66 102 41 147 140 0 136 0 144 90 0 68 46 149 0 107 229 0 0 134 0 0 0 121
Character e u s e a n i n f o r m a l a p p r o a c
Milliseconds 64 68 52 72 73 68 113 36 100 80 66 53 50 105 72 107 77 81 89 79 128 52 111 68 72
Character h s o y o u w i l l s e h o w t -t -h -o
Milliseconds 66 71 96 39 99 86 98 68 50 54 89 140 100 96 25 102 107 78 57 44 76 130 192 166 0
Character -w - - e h o w t h e y l e a d n a t u r a
Milliseconds 0 0 370 78 76 107 22 79 64 51 70 88 56 72 95 35 55 123 44 74 99 69 88 80 37
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 80 99 49 65 174 72 57 83 15 86 63 23 106 72 60 40 107 64 133 56 68 90 51 55 109
Character h i s c h a p t e r , t h e l i m i t . T
Milliseconds 46 45 48 56 91 36 106 70 85 118 57 45 101 78 25 84 48 68 44 171 42 90 111 88 158
Character h e i d e a o f a l i m i t p a l y s
Milliseconds 154 61 72 240 203 155 62 70 94 62 57 66 117 28 49 161 37 63 56 117 139 14 158 30 70
Character a -a -p -a -l -y -s - p l a y s a f o u n d a t i o
Milliseconds 88 208 183 0 0 0 0 0 194 150 34 105 81 36 89 103 66 258 50 140 55 55 65 49 30
Character n a l r o l e t h r o u g h o u t c a l c u
Milliseconds 57 77 106 66 181 104 170 98 23 136 71 131 31 51 94 77 125 53 38 44 148 88 18 97 86
Character l u s .
Milliseconds 160 67 72 94
WPM Timing
Seconds WPM
1.65 72.53
3.31 119.68
4.96 130.56
6.62 137.82
8.27 140.72
9.93 142.65
11.58 139.89
13.24 137.82
14.89 140.23
16.54 134.19
18.2 137.16
19.85 137.82
21.51 136.7
23.16 136.78
24.82 135.88
26.47 132.38
28.12 126.3
29.78 126.94
31.43 127.51
33.09 129.11
34.74 129.53
36.4 129.57
38.05 128.67
39.71 129.35
41.36 130.85
43.01 129.73
44.67 129.22
46.32 127.97
47.98 128.81
49.63 129.11
51.29 130.09
52.94 129.88
54.59 129.68
56.25 129.07
57.9 128.9
59.56 125.73
61.21 126.64
62.87 126.17
64.52 126.47
66.18 125.49
67.83 125.96
69.48 125.55
71.14 124.83
72.79 125.62
74.45 126.53
76.1 126.62
77.76 126.24
79.41 124.97
81.06 125.23
82.72 125.34