Vishal (vishal__)

Race #2859

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Official speed 90.00 wpm (115.20 seconds elapsed during race)
Without ending ping 90.15 wpm (196 ms delay sending score to TypeRacer’s server)
Timerless 90.70 wpm (689 ms elapsed before first character typed; 114.32 seconds elapsed during race)
Timerless minus one 90.59 wpm, ignoring the first character typed
Race Start December 1, 2023 3:35:24am UTC
Race Finish December 1, 2023 3:37:19am UTC
Outcome No win (3 of 4)
Opponents 1. rilee_h443 (101.95 wpm)
2. hertzwiener (95.21 wpm)
Accuracy 97.4%
Points 243.00
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 heplpuss us understand how a change in one quantity is related to a change in another. How does the spee dod oaf a falling object change as a functxion ion of time/ ? How does the level o f water in a barrel change as a function of the amount of lqiquid proured into it? We see change occurring in nearly eeverything we ovbbservev in t in the world an d universe, and powerful modern instruments help us see more and more. In this sectino won we ointroduce 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 surccurve. We give preicise developments of these important concepts int h the next chapter, but for now we use an informal approach so you will see how theyt lead naturally to the main oiedea of this chapter, the limit. The ideas 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 689 180 154 124 435 158 68 120 129 48 100 38 149 61 117 85 128 181 93 49 122 21 74 50 110
Character e p -p l p u s -s -u s u s u n d e r s t a n d
Milliseconds 87 233 412 161 197 238 65 504 172 61 161 305 53 115 171 164 64 140 58 190 95 123 29 122 88
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 110 64 48 89 111 113 85 86 219 200 100 55 62 103 72 63 144 79 82 98 197 100 150 175 191
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 142 73 184 186 444 71 88 68 49 99 57 65 42 155 44 117 34 104 84 112 72 76 108 67 119
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 41 93 101 71 90 60 100 90 56 92 82 25 103 106 159 137 115 161 55 129 80 66 68 112 376
Character e s p e e d o -o -d - d o a -a f a f a l l
Milliseconds 89 74 112 219 89 107 154 22 140 463 196 163 94 108 79 307 335 77 39 103 56 279 85 75 112
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 142 65 61 106 135 123 70 102 161 127 107 93 105 54 137 63 72 136 87 137 109 125 114 59 106
Character n c t x i o n - -n -o -i -x i o n o f t i m e /
Milliseconds 150 85 76 11 51 44 55 92 450 237 185 169 183 182 56 57 106 154 71 62 391 44 62 65 236
Character - -/ ? H o w d o e s t h e l e v e l o
Milliseconds 155 532 171 215 138 623 141 73 124 122 114 98 54 84 85 49 53 84 113 50 148 74 96 91 145
Character - f w a t e r i n a b a r r e l c h a
Milliseconds 137 334 62 92 75 133 80 88 81 98 150 94 88 51 136 107 487 99 137 126 90 75 115 94 71
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 115 44 69 118 97 61 159 75 107 239 104 151 87 102 36 84 60 57 211 96 44 119 50 43 393
Character a m o u n t o f l q -q i q u i d p r -r o u r
Milliseconds 55 219 113 80 157 79 81 120 69 72 205 137 536 421 219 71 56 144 99 434 88 394 148 75 83
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 74 113 75 73 59 76 86 89 148 83 156 128 144 211 246 98 154 125 104 89 79 80 97 69 55
Character o c c u r r i n g i n n e a r l y e e -e v
Milliseconds 151 249 89 122 114 90 122 42 70 74 85 96 61 69 160 72 46 34 113 100 112 146 338 305 65
Character e r y t h i n g w e o v b -b -v b s e r v e v
Milliseconds 96 103 390 171 106 81 79 106 102 90 58 76 135 137 44 460 173 51 144 59 45 193 138 0 57
Character i n t -t - -n -i - -v i n t h e w o r l d a
Milliseconds 78 51 112 0 503 203 185 184 181 156 96 118 62 66 45 98 57 65 120 119 130 140 65 81 79
Character n - d u n i v e r s e , a n d p o w e r f
Milliseconds 115 204 317 74 51 88 162 52 382 187 69 153 87 58 80 77 98 98 44 179 11 42 51 34 164
Character u l m o d e r n i n s t r u m e n t s h e l
Milliseconds 45 145 85 225 471 97 134 43 67 64 153 62 45 57 73 115 153 54 145 80 78 59 133 96 110
Character p u s s e e m o r e a n d m o r e . I
Milliseconds 54 373 159 97 78 135 186 125 47 165 55 61 47 64 103 65 96 57 142 40 50 50 172 72 162
Character n t h i s s e c t i n o w -w - -o -n o n w e
Milliseconds 194 183 113 99 94 30 377 84 58 212 133 71 79 0 73 149 526 193 201 154 160 58 55 139 41
Character o -o i n t r o d u c e t h e i d e a s o f
Milliseconds 82 257 302 129 44 66 56 93 114 103 196 165 91 120 39 101 42 201 58 134 128 49 99 101 48
Character a v e r a g e a n d i n s t a n t a n e o u
Milliseconds 101 135 156 116 98 166 55 84 86 161 79 85 89 158 362 158 100 113 21 767 88 94 86 120 73
Character s r a t e s o f c h a n g e , a n d s h
Milliseconds 76 139 88 78 107 52 88 26 119 59 93 180 110 72 93 67 70 88 93 35 130 69 73 172 65
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 104 23 106 69 84 27 77 56 136 56 107 128 113 95 69 74 44 222 90 177 34 48 118 80 116
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 116 60 89 84 67 38 177 40 145 71 98 66 81 64 76 99 65 181 85 178 313 94 73 89 62
Character c u r v e a t a p o i n t P o n t h
Milliseconds 107 232 73 95 492 110 117 98 60 83 95 93 141 75 35 70 68 100 179 90 223 94 94 54 116
Character e s u r -r -u c -c -s c u r v e . W e g i v e
Milliseconds 38 97 70 116 122 380 185 167 13 418 154 83 75 215 64 109 66 712 161 88 266 90 87 80 76
Character p r e i -i c i s e d e v e l o p m e n t s o f
Milliseconds 70 85 44 283 310 81 85 77 48 70 131 163 178 57 72 214 65 403 71 96 70 221 140 117 87
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 73 64 84 88 173 65 55 92 108 80 85 154 169 36 153 512 111 117 66 70 356 158 64 103 96
Character i n t h -h - -t t h e n e x t c h a p t e
Milliseconds 109 114 41 99 35 139 513 193 172 88 66 81 76 76 125 52 162 176 98 144 79 81 104 110 89
Character r , b u t f o r n o w w e u s e a n
Milliseconds 87 62 85 109 80 68 87 101 81 121 43 282 66 117 75 82 66 108 126 86 64 176 131 80 106
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 104 77 145 75 109 55 109 108 164 294 129 132 59 149 51 143 86 71 301 95 47 243 88 70 50
Character w i l l s e e h o w t h e y t - -t l e a
Milliseconds 87 146 172 153 47 58 185 131 88 134 51 80 165 70 87 49 132 0 84 478 198 117 113 46 98
Character d n a t u r a l l y t o t h e m a i n o
Milliseconds 76 100 160 109 79 111 44 64 105 135 86 322 59 93 87 340 71 83 47 306 90 97 64 82 189
Character -o i e -e d e a o f t h i s c h a p t e r ,
Milliseconds 444 146 389 334 63 113 80 60 97 129 51 71 51 78 81 117 88 79 97 91 52 107 71 45 76
Character t h e l i m i t . T h e i d e a s -s o f
Milliseconds 93 54 64 62 70 82 182 22 131 118 87 97 59 116 435 167 64 128 98 76 435 106 91 94 45
Character a l i m i t p l a y s a f o u n d a t i o
Milliseconds 61 105 182 86 159 51 105 124 86 189 137 104 140 81 216 95 81 88 62 156 142 145 164 47 57
Character n a l r o l e t h r o u g h o u t c a l c u
Milliseconds 48 112 110 86 250 81 259 161 74 84 67 53 179 65 25 119 120 76 46 119 94 66 51 107 133
Character l u s .
Milliseconds 124 63 89 99
WPM Timing
Seconds WPM
2.3 62.5
4.61 72.92
6.91 65.97
9.22 79.43
11.52 79.17
13.82 91.15
16.13 92.26
18.43 84.64
20.74 87.38
23.04 85.42
25.34 82.86
27.65 80.73
29.95 82.53
32.26 84.08
34.56 85.42
36.86 83.66
39.17 83.64
41.47 84.49
43.78 85.8
46.08 85.16
48.38 82.59
50.69 82.62
52.99 83.56
55.3 84.42
57.6 85.21
59.9 86.14
62.21 84.68
64.51 84.82
66.82 85.31
69.12 85.76
71.42 87.37
73.73 88.54
76.03 89.17
78.34 89.46
80.64 88.1
82.94 87.67
85.25 87.56
87.55 87.86
89.86 87.34
92.16 87.76
94.46 88.54
96.77 88.67
99.07 89.27
101.38 89.02
103.68 88.54
105.98 88.65
108.29 89.21
110.59 89.19
112.9 89.39
115.2 90