Shonade (mr_overclocked)

Race #7058

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Official speed 110.64 wpm (93.71 seconds elapsed during race)
Without ending ping 110.78 wpm (114 ms delay sending score to TypeRacer’s server)
Timerless 111.11 wpm (278 ms elapsed before first character typed; 93.32 seconds elapsed during race)
Timerless minus one 110.98 wpm, ignoring the first character typed
Race Start September 25, 2023 1:08:47am UTC
Race Finish September 25, 2023 1:10:21am UTC
Outcome No win (2 of 2)
Opponents 1. kerby_berby (146.84 wpm)
Accuracy 96.8%
Points 298.72
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 calCalculus is a tolol that heplps us undesrstand how a hcnachange in one quantity is related to changa change in another. Hodw 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 htthe amount of liquid poured into it? We see change occuring ring neain nearly everything we observe in the world and universe, and powerful omdermodern instruments help us see more and more. In this sectfition we intorroduce the ideas of average and intastanteaneous rate s of change, and show that they are closelyu rel related to the slope of a curve astt a point P on the currve. We give precise developments aof these important concepts in the next chapter, but for now we use an informal aproproach, so you wills ee 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.
Timing
Character c a l -l -a -c C a l c u l u s i s a t o l -l o
Milliseconds 278 145 81 281 100 106 86 135 135 147 264 109 140 113 31 73 93 62 129 30 121 105 315 315 142
Character l t h a t h e p -p l p s u s u n d e s -s r
Milliseconds 140 77 23 86 43 37 71 35 92 219 588 166 152 123 57 92 143 2 121 151 85 142 87 417 90
Character s t a n d h o w a h c n a -a -n -c -h c h a n g
Milliseconds 140 100 131 6 115 51 305 51 21 108 123 42 198 15 151 90 173 99 120 207 85 96 86 75 160
Character e i n o n e q u a n t i t y i s r e l a
Milliseconds 60 63 104 57 28 137 54 48 106 74 96 94 170 168 120 82 123 71 114 85 68 96 66 72 124
Character t e d t o c h a n g -g -n -a -h -c a c h a n g e
Milliseconds 56 48 112 78 83 60 45 76 80 37 99 81 158 97 113 124 108 110 18 157 30 101 28 128 60
Character i n a n o t h e r . H o d -d w d o e s t
Milliseconds 63 117 73 52 56 72 59 99 39 84 88 50 43 158 163 134 244 128 48 105 42 102 54 51 85
Character h e s p e e d o f a f a l l i n g o b j
Milliseconds 47 31 114 41 102 90 144 135 79 96 33 87 134 76 113 73 80 126 75 57 21 56 122 95 99
Character e c t c h a n g e a s a f u n c t i o n
Milliseconds 61 53 144 68 121 50 52 85 96 59 123 110 49 72 238 72 98 91 117 51 129 110 198 126 115
Character o f t i m e ? H o w d o e s t h e l e v
Milliseconds 83 66 51 109 81 50 31 176 51 143 110 80 119 55 72 78 66 76 234 53 63 72 68 50 128
Character e l o f w a t e r i n a b a r r e l c
Milliseconds 58 84 56 79 72 69 182 18 88 110 73 63 147 53 37 74 81 100 101 94 134 115 143 72 145
Character h a n g e a s a f u n c t i o n o f h t
Milliseconds 47 373 117 98 70 35 208 111 83 96 39 162 91 127 47 153 133 86 62 90 73 83 24 154 125
Character -t -h t h e a m o u n t o f l i q u i d p o
Milliseconds 274 104 45 106 36 63 81 43 83 74 138 87 38 73 85 53 82 63 74 144 53 89 58 83 20
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 118 62 118 138 93 116 70 81 123 56 94 44 184 105 234 227 120 114 60 136 35 110 67 61 81
Character g e o c c u r i n g - -g -n -i r i n g n e a -a
Milliseconds 86 37 36 72 86 135 50 124 75 64 39 80 274 102 119 130 90 87 59 51 26 101 99 96 158
Character -e -n i n n e a r l y e v e r y t h i n g w e
Milliseconds 93 114 168 62 48 97 106 69 95 64 55 61 49 111 62 163 533 148 93 78 80 21 63 81 57
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 67 80 111 153 23 67 163 72 116 63 64 62 178 27 98 58 81 78 51 98 66 82 126 74 88
Character u n i v e r s e , a n d p o w e r f u l o
Milliseconds 68 391 113 109 29 100 105 87 61 100 46 59 88 83 88 122 96 69 48 45 135 115 62 79 156
Character m d e r -r -e -d -m -o m o d e r n i n s t r u m e n
Milliseconds 4 90 123 89 122 102 120 117 105 178 42 30 141 52 65 53 81 73 89 90 129 64 149 46 107
Character t s h e l p u s s e e m o r e a n d m
Milliseconds 30 87 79 43 107 54 150 96 96 165 110 184 54 119 94 62 63 44 43 51 90 36 108 5 66
Character o r e . I n t h i s s e c t f i -i -f -t t i o
Milliseconds 67 66 39 82 45 138 216 59 33 102 52 39 92 69 50 103 124 10 98 230 100 126 572 91 55
Character n w e i n t o r -r -o r o d u c e t h e i d
Milliseconds 46 61 59 49 81 68 64 140 144 18 358 123 45 104 330 97 93 74 37 122 40 84 36 83 34
Character e a s o f a v e r a g e a n d i n t a -a -t
Milliseconds 143 67 126 101 103 49 88 142 117 66 104 63 74 35 81 41 101 37 93 103 114 264 113 190 126
Character s t a n t e -e a n e o u s r a t e - s o f
Milliseconds 71 91 102 90 111 450 288 68 73 214 116 44 70 110 94 96 125 57 108 372 79 87 89 24 100
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 152 76 14 133 71 41 88 57 54 75 82 56 116 32 190 109 88 20 126 12 133 107 79 72 53
Character y a r e c l o s e l y u r e l -l -e -r - -u r
Milliseconds 106 87 86 73 36 105 128 94 128 52 50 108 97 25 6 89 46 94 205 92 231 112 116 217 120
Character e l a t e d t o t h e s l o p e o f a
Milliseconds 62 145 75 68 27 145 93 96 56 70 46 94 43 137 5 67 181 101 107 94 94 99 44 101 64
Character c u r v e a s t -t -s t a p o i n t P o n
Milliseconds 67 120 40 311 53 144 85 78 104 192 109 65 105 106 71 108 54 60 39 54 112 120 128 78 64
Character t h e c u r r -r v e . W e g i v e p r e
Milliseconds 23 66 54 49 106 112 88 74 433 264 47 61 119 24 147 106 47 154 69 87 35 51 96 79 47
Character c i s e d e v e l o p m e n t s a -a o f t h
Milliseconds 144 105 82 50 40 74 147 138 61 94 107 69 174 91 82 72 61 60 101 232 144 59 102 29 107
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 26 153 55 75 264 135 72 89 21 142 98 75 112 125 108 42 60 87 60 102 76 293 404 466 42
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 52 62 70 56 51 76 41 160 81 101 96 85 119 61 101 102 66 40 47 88 43 64 78 94 59
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 40 58 68 48 32 102 96 66 53 100 42 70 68 75 102 111 102 58 45 126 62 132 101 140 105
Character a p r o -o -r p r o a c h , - -, s o y o u w
Milliseconds 81 93 200 115 200 108 163 261 107 102 96 126 397 80 364 104 123 42 190 45 116 93 46 81 2
Character i l l s e e -e -e - -s s e e h o w t h e y
Milliseconds 89 77 117 156 0 44 88 269 94 110 124 137 43 58 106 117 93 34 45 59 54 70 79 65 56
Character l e a d n a t u r a l l y t o t h e m a i
Milliseconds 117 96 71 92 53 54 83 92 117 53 72 48 109 102 53 54 88 74 51 79 68 26 79 111 79
Character n i d e a o f t h i s c h a p t e r , t
Milliseconds 56 55 97 34 115 44 105 110 58 37 69 65 63 52 97 75 49 85 83 67 88 88 51 42 49
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 63 110 40 90 60 49 146 84 90 56 145 100 61 50 64 35 137 39 66 100 47 74 90 75 101
Character i m i t p l a y s a f o u n d a t i o n a l
Milliseconds 40 116 89 92 85 45 144 14 107 74 53 77 98 53 85 56 166 74 162 78 84 66 20 155 59
Character r o l e t h r o u g h o u t c a l c u l u s
Milliseconds 99 78 73 140 70 45 66 52 103 20 57 137 27 112 68 44 85 77 54 57 109 96 99 194 220
Character .
Milliseconds 144
WPM Timing
Seconds WPM
1.87 38.42
3.75 57.63
5.62 66.16
7.5 70.43
9.37 69.15
11.25 77.9
13.12 79.58
14.99 87.24
16.87 89.64
18.74 95.4
20.62 97.21
22.49 99.78
24.36 103.92
26.24 103.36
28.11 102.87
29.99 106.05
31.86 105.83
33.74 105.65
35.61 103.79
37.48 104.37
39.36 106.1
41.23 106.52
43.11 104.95
44.98 106.45
46.85 107.82
48.73 106.14
50.6 105.53
52.48 106.79
54.35 106.2
56.23 105.01
58.1 105.54
59.97 106.65
61.85 104.77
63.72 106.02
65.6 105.74
67.47 105.47
69.34 106.25
71.22 106.49
73.09 106.71
74.97 106.29
76.84 107.91
78.72 107.63
80.59 106.02
82.46 105.35
84.34 106.29
86.21 107.59
88.09 108.71
89.96 109.65
91.84 110.28
93.71 110.64