Minh (mn99)

Race #7295

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Official speed 100.11 wpm (103.57 seconds elapsed during race)
Without ending ping 100.27 wpm (170 ms delay sending score to TypeRacer’s server)
Timerless 100.47 wpm (199 ms elapsed before first character typed; 103.20 seconds elapsed during race)
Timerless minus one 100.35 wpm, ignoring the first character typed
Race Start December 22, 2023 11:27:47pm UTC
Race Finish December 22, 2023 11:29:30pm UTC
Outcome No win (4 of 4)
Opponents 1. dragoncityjose (154.19 wpm)
2. gorgontes (110.34 wpm)
Accuracy 96.9%
Points 270.28
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 Calscuculus is a tool that helps uss un 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 watheer in a beareerel change as a cunfunction of the amount of liquid poured into it? W e see tchange occuriring in cnnearly everything we observe in the worl dd and the ununiverse, and powerful modern instrucmments help us wsee more and more. In this section we iuntroduce 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 curfvve. We give precise developments of tehsehsehese important concept s int he 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 chapters, the limit. The idea of a limit plays a foundational role throught out calfculus.
Timing
Character C a l s c u -u -c -s c u l u s i s a t o o l
Milliseconds 199 144 75 75 119 61 284 129 100 116 120 78 83 105 97 62 108 48 128 44 149 38 135 135 45
Character t h a t h e l p s u s s u n -n -u - - -s u
Milliseconds 65 83 5 79 44 66 78 53 70 87 41 120 118 87 140 116 119 224 127 120 164 291 95 146 101
Character n d e r s t a n d h o w a c h a n g e i n
Milliseconds 80 42 154 64 98 37 74 84 96 41 101 36 50 97 89 48 140 50 105 96 64 85 25 71 60
Character o n e q u a n t i t y i s r e l a t e d
Milliseconds 74 49 73 49 88 180 74 151 325 188 122 117 140 108 105 75 102 221 63 106 85 53 82 162 81
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 88 62 98 87 86 242 111 51 117 48 79 51 83 57 72 179 140 60 45 112 51 50 71 106 164
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 113 62 143 61 124 35 144 62 132 103 71 81 93 99 81 130 167 21 109 68 105 83 64 111 92
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 60 140 191 96 49 87 106 162 96 69 98 187 45 133 70 79 85 66 72 86 53 98 93 97 72
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 84 90 54 68 208 42 39 62 86 57 46 87 98 54 65 52 179 174 209 148 72 99 119 117 56
Character s t h e l e v e l o f w a t h e -e -h e r
Milliseconds 59 80 74 78 50 52 79 54 135 97 67 50 108 18 120 34 101 37 111 97 309 109 120 45 75
Character i n a b e -e a r e e -e -e r e l c h a n g e
Milliseconds 163 81 58 55 123 43 176 413 81 68 107 199 370 108 160 52 148 109 226 79 90 66 79 69 68
Character a s a c u n -n -u -c f u n c t i o n o f t h
Milliseconds 77 102 42 142 170 177 100 54 331 116 142 167 123 47 73 210 68 41 64 94 68 41 119 64 60
Character e a m o u n t o f l i q u i d p o u r e d
Milliseconds 61 92 65 97 81 67 53 52 81 57 72 92 77 53 93 121 66 139 160 239 115 90 65 86 203
Character i n t o i t ? W - e s e e t -t c h a n
Milliseconds 77 128 98 139 96 313 160 24 328 195 297 282 347 51 113 100 60 146 53 86 363 134 108 67 86
Character g e o c c u r i -i r i n g i n c n -n -c n e a
Milliseconds 85 61 33 89 81 140 90 111 100 426 134 99 56 61 76 53 73 86 92 90 416 108 210 38 40
Character r l y e v e r y t h i n g w e o b s e r v e
Milliseconds 57 59 165 71 126 136 124 64 60 89 132 45 91 60 111 82 50 95 207 98 173 80 55 174 137
Character i n t h e w o r l d -d - d a n d t h e
Milliseconds 47 95 71 49 30 104 25 89 51 120 87 85 143 6 443 100 83 71 74 78 81 62 92 58 58
Character u n -n -u - -e -h -t u n i v e r s e , a n d p o
Milliseconds 73 73 50 293 115 144 144 139 389 221 38 134 93 149 55 90 51 102 71 57 94 67 122 113 46
Character w e r f u l m o d e r n i n s t r u c m -m -c m
Milliseconds 79 29 46 154 59 139 94 94 54 103 162 22 139 50 139 116 182 56 31 129 135 64 338 91 188
Character e n t s h e l p u s w -w s e e m o r e a
Milliseconds 54 72 65 99 54 133 93 84 71 43 115 82 88 146 318 76 67 158 74 56 44 66 58 31 89
Character n d m o r e . I n t h i s s e c t i o n
Milliseconds 58 166 55 76 84 114 42 90 85 163 129 140 64 107 30 82 93 126 49 154 200 32 24 80 140
Character w e i u -u n t r o d u c e t h e i d e a s
Milliseconds 27 74 147 250 11 508 335 71 57 216 139 157 48 212 133 106 80 28 97 70 91 131 50 119 67
Character o f a v e r a g e a n d i n s t a n t a n e
Milliseconds 70 109 83 162 72 161 47 96 88 64 65 56 117 68 48 100 74 75 73 80 72 122 122 198 153
Character o u s r a t e s o f c h a n g e , a n d
Milliseconds 192 52 134 101 228 77 80 53 137 51 58 102 59 141 84 98 81 91 80 52 93 70 91 74 70
Character s h o w t h a t t h e y a r e c l o s e l
Milliseconds 436 78 41 83 75 89 57 64 73 33 141 35 655 126 109 105 51 71 55 149 41 122 67 35 79
Character y r e l a t e d t o t h e s l o p e o f
Milliseconds 122 92 119 62 122 148 105 72 199 76 122 42 68 53 77 48 57 335 91 133 98 84 126 75 88
Character a c u r v e a t a p o i n t P o n
Milliseconds 80 236 599 294 194 92 163 145 69 101 56 82 59 83 489 44 61 68 46 206 200 151 101 87 64
Character t h e c u r f v -v -f v e . W e g i v e p r
Milliseconds 34 82 60 71 208 95 90 96 177 342 101 92 200 83 110 148 115 209 321 107 78 76 65 90 83
Character e c i s e d e v e l o p m e n t s o f t e h
Milliseconds 59 167 107 84 31 92 123 122 141 93 40 166 12 161 82 113 11 116 47 58 112 55 117 70 4
Character s -s -h -e e h s e -e -s -h -e h e s e i m p o r t a n
Milliseconds 112 407 125 133 261 4 84 116 290 106 144 351 235 29 105 75 64 112 69 38 85 30 156 55 74
Character t c o n c e p t - s i n t h e - -e -h - -t
Milliseconds 93 87 114 54 62 81 74 73 132 114 466 79 122 69 104 79 36 112 38 104 393 121 142 143 128
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 157 77 79 119 75 86 35 212 178 77 137 82 75 82 121 115 70 64 58 131 76 116 72 118 66
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 80 43 70 53 51 82 142 73 241 137 81 44 102 164 81 107 120 101 47 150 60 274 317 159 84
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 231 78 157 118 69 119 83 70 76 88 78 65 116 49 58 93 41 131 51 282 172 149 61 175 41
Character h o w t h e y l e a d n a t u r a l l y t
Milliseconds 95 32 81 80 138 58 119 47 66 126 27 78 109 73 80 93 56 69 112 74 86 128 176 70 90
Character o t h e m a i n i d e a o f t h i s c
Milliseconds 64 70 47 89 55 78 98 102 78 67 53 99 88 139 53 84 68 81 89 81 65 25 58 105 98
Character h a p t e r s -s , t h e l i m i t . T h e
Milliseconds 119 5 851 89 115 64 188 472 198 55 88 89 41 131 77 177 62 83 70 102 127 194 132 56 92
Character i d e a o f a l i m i t p l a y s a f
Milliseconds 61 86 149 82 189 68 93 90 70 78 153 86 70 102 31 139 81 155 64 119 112 113 91 79 123
Character o u n d a t i o n a l r o l e t h r o u g h t
Milliseconds 48 69 49 71 83 105 43 49 71 96 88 80 125 88 162 86 99 98 72 103 72 43 111 122 70
Character - -t o u t c a l f -f c u l u s .
Milliseconds 99 453 128 305 56 49 142 97 104 80 135 395 73 133 127 112 92 74
WPM Timing
Seconds WPM
2.07 69.52
4.14 92.69
6.21 86.9
8.29 98.49
10.36 100.81
12.43 105.25
14.5 108.42
16.57 110.07
18.64 113.29
20.71 115.87
22.78 111.13
24.86 108.14
26.93 104.28
29 108.01
31.07 106.6
33.14 103.19
35.21 101.55
37.28 101.06
39.36 102.15
41.43 101.67
43.5 98.49
45.57 100.33
47.64 99.75
49.71 100.42
51.78 101.5
53.85 99.82
55.93 101.06
58 101.38
60.07 102.08
62.14 102.35
64.21 102.97
66.28 101.93
68.35 101.65
70.42 100.87
72.5 101.14
74.57 101.06
76.64 98.8
78.71 99.1
80.78 97.6
82.85 98.2
84.92 98.91
87 98.76
89.07 99.3
91.14 100.2
93.21 100.55
95.28 99.87
97.35 100.21
99.42 101.14
101.49 100.62
103.57 100.11