desyncgod (43243264)

Race #23444

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Official speed 110.61 wpm (93.73 seconds elapsed during race)
Without ending ping 110.76 wpm (130 ms delay sending score to TypeRacer’s server)
Timerless 111.52 wpm (633 ms elapsed before first character typed; 92.97 seconds elapsed during race)
Timerless minus one 111.39 wpm, ignoring the first character typed
Race Start January 9, 2024 9:57:57pm UTC
Race Finish January 9, 2024 9:59:31pm UTC
Outcome No win (2 of 3)
Opponents 1. yabagao (140.76 wpm)
Accuracy 97.7%
Points 298.64
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 realtelated to a change in another. How does sthe speed of a falling object change as a funciton otion of time? WHow does that le level of water in a barrel change as a function of the amount of liaquid poured oninto it? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments helps us see more and more. In this ectsection we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the sleopope of a fcurve at a point P on the curve. We give precise developments of tehsehese important concepsts in the next chapter, but for tnonow we use an inforaml amal approach so you willl 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 c u l u s i s a t o o l t h a t h
Milliseconds 633 110 109 132 87 102 157 176 97 92 127 116 84 92 50 73 114 137 60 72 55 32 88 64 28
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 80 80 133 104 35 62 71 88 106 161 78 139 69 118 81 47 193 176 100 68 49 67 60 72 95
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 58 67 48 116 37 78 80 84 58 47 110 69 486 82 217 88 120 112 95 66 87 100 76 109 76
Character r e a l t e -e -t -l -a l a t e d t o a c h a
Milliseconds 52 292 73 51 67 108 72 292 144 121 114 173 64 88 73 195 5 375 104 64 48 125 38 88 27
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 139 32 76 39 105 59 25 165 81 74 56 84 23 73 91 26 184 55 70 56 97 60 117 290 153
Character s -s t h e s p e e d o f a f a l l i n g
Milliseconds 92 275 69 88 92 6 133 165 76 117 307 288 221 72 64 63 85 64 67 116 139 117 76 36 60
Character o b j e c t c h a n g e a s a f u n c i t
Milliseconds 67 128 165 96 64 148 64 135 32 153 44 193 56 62 89 109 47 136 159 400 77 171 53 181 0
Character o n o -o - -n -o -t -i t i o n o f t i m e ? W
Milliseconds 87 53 96 71 240 108 85 104 119 85 106 157 20 66 83 99 266 80 77 89 34 437 248 113 67
Character -W H o w d o e s t h a t l -l - -t -a e l e v
Milliseconds 308 200 116 64 60 95 78 90 54 50 60 109 16 84 60 128 198 102 92 121 160 219 104 52 107
Character e l o f w a t e r i n a b a r r e l c
Milliseconds 84 90 87 100 71 69 67 73 65 91 72 63 113 52 60 100 93 63 193 164 129 82 164 49 195
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 53 48 131 48 61 64 84 120 295 45 127 88 152 188 84 164 11 85 44 70 100 94 73 106 49
Character e a m o u n t o f l i a -a q u i d p o u r
Milliseconds 49 66 78 58 89 92 144 64 92 69 95 32 48 69 110 305 76 96 58 71 75 61 95 141 111
Character e d o n -n -o i n t o i t ? W e s e e c h
Milliseconds 64 152 41 51 63 256 125 171 18 103 20 112 119 83 186 60 153 188 72 72 63 143 89 80 92
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 79 98 62 73 59 61 192 181 219 64 121 75 53 47 68 113 51 57 321 103 44 59 68 132 53
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 251 151 97 147 157 192 55 81 101 34 73 136 94 86 180 148 71 53 65 177 45 60 89 32 76
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 98 48 57 58 55 95 32 145 63 80 71 77 40 68 92 140 55 41 111 144 29 116 164 136 53
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 87 66 82 92 82 93 41 64 128 50 86 80 92 67 28 136 57 84 84 84 67 65 112 32 52
Character m e n t s h e l p s - -s u s s e e m o r
Milliseconds 184 73 86 26 347 87 72 116 107 162 307 193 205 111 52 124 44 76 80 64 136 76 58 43 41
Character e a n d m o r e . I n t h i s e c t -t -c
Milliseconds 51 46 45 95 45 48 73 63 36 40 88 80 432 119 53 84 40 47 80 53 141 132 163 166 314
Character -e s e c t i o n w e i n t r o d u c e t h e
Milliseconds 171 121 39 92 172 93 72 35 69 136 59 65 128 51 40 64 73 115 102 64 72 82 96 44 45
Character i d e a s o f a v e r a g e a n d i n s
Milliseconds 50 108 46 176 132 392 104 97 68 99 89 126 87 114 75 114 61 66 80 80 57 62 89 57 34
Character t a n t a n e o u s r a t e s o f c h a n g
Milliseconds 81 68 100 117 203 328 99 142 83 48 71 158 28 236 119 119 80 144 69 45 103 84 19 140 43
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 82 65 68 63 37 77 62 257 72 31 69 56 80 79 36 90 28 58 59 108 204 156 93 83 41
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 103 65 68 131 42 58 67 102 13 75 91 182 77 222 75 153 85 114 36 52 56 59 8 134 36
Character l e o p -p -o -e o p e o f a f -f c u r v e a
Milliseconds 143 36 181 107 292 122 143 204 75 65 70 84 81 51 338 95 121 287 72 117 83 184 44 64 163
Character t a p o i n t P o n t h e c u r v e .
Milliseconds 98 59 69 99 123 62 73 35 57 70 145 142 97 60 83 70 42 97 60 172 127 73 175 57 60
Character W e g i v e p r e c i s e d e v e l o p m
Milliseconds 101 155 63 60 109 100 76 48 77 43 72 39 184 73 92 64 55 80 156 96 80 56 153 61 116
Character e n t s o f t e h s e -e -s -h -e h e s e i m p
Milliseconds 64 113 21 105 79 78 60 57 87 59 17 146 105 212 148 125 111 153 42 110 115 52 85 59 77
Character o r t a n t c o n c e p s -s t s i n t h e
Milliseconds 35 88 149 87 133 79 68 173 46 48 56 104 98 131 296 84 56 60 63 40 69 55 65 22 82
Character n e x t c h a p t e r , b u t f o r t n o
Milliseconds 77 35 223 158 75 120 84 47 133 80 82 74 85 7 185 56 28 75 72 61 71 72 57 104 74
Character -o -n -t n o w w e u s e a n i n f o r a m l
Milliseconds 301 145 103 177 23 37 74 241 84 63 140 76 60 105 133 82 82 74 56 51 102 74 125 15 165
Character a -a - -l -m -a m a l a p p r o a c h s o y o
Milliseconds 32 105 164 114 111 74 124 184 60 116 72 140 111 101 93 47 127 85 105 380 96 97 37 93 56
Character u w i l l l -l s e e h o w t h e y l e a
Milliseconds 96 36 72 70 106 112 243 365 77 78 68 145 52 104 52 33 59 76 51 65 124 40 115 24 61
Character d n a t u r a l l y t o t h e m a i n i
Milliseconds 115 50 63 32 92 96 68 64 85 127 80 48 68 72 61 63 80 76 48 64 76 93 44 50 105
Character d e a o f t h i s c h a p t e r , -, - ,
Milliseconds 81 147 48 48 93 95 24 112 20 57 403 96 80 84 52 88 100 68 93 76 16 475 120 204 48
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 88 11 65 71 45 76 60 92 100 92 81 142 256 86 55 117 45 174 17 80 128 99 88 33 124
Character l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 212 83 176 128 84 77 51 140 72 64 112 32 106 184 318 84 52 145 55 65 119 60 56 36 97
Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 107 26 94 62 141 33 61 82 49 119 40 102 88 94 92 112 44 69 295 65 68 124 49 80 152
Character s .
Milliseconds 166 106
WPM Timing
Seconds WPM
1.87 70.41
3.75 108.82
5.62 119.49
7.5 113.62
9.37 101.14
11.25 105.62
13.12 106.99
15 104.82
16.87 107.4
18.75 104.34
20.62 100.09
22.5 97.62
24.37 95.03
26.25 97.84
28.12 98.58
30 101.62
31.87 101.29
33.74 101.35
35.62 102.75
37.49 102.42
39.37 104.25
41.24 105.91
43.12 107.7
44.99 105.88
46.87 107.54
48.74 105.86
50.62 107.4
52.49 107.45
54.37 107.71
56.24 108.6
58.12 109.64
59.99 110.62
61.86 108.82
63.74 108.82
65.61 109.18
67.49 110.06
69.36 109.16
71.24 109.32
73.11 109.97
74.99 109.62
76.86 109.29
78.74 108.51
80.61 107.92
82.49 109.11
84.36 110.38
86.24 109.37
88.11 109.91
89.99 110.02
91.86 110.65
93.73 110.61