Vivek (vivekvc)

Race #11719

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Official speed 94.75 wpm (109.42 seconds elapsed during race)
Without ending ping 94.93 wpm (212 ms delay sending score to TypeRacer’s server)
Timerless 95.28 wpm (402 ms elapsed before first character typed; 108.81 seconds elapsed during race)
Timerless minus one 95.17 wpm, ignoring the first character typed
Race Start October 22, 2023 7:49:37am UTC
Race Finish October 22, 2023 7:51:26am UTC
Outcome No win (2 of 4)
Opponents 1. babaammiyoucef (97.10 wpm)
Accuracy 96.9%
Points 255.84
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 helspps us understand how a change in oune quantity is reallated to a change in another. how How does the speded of a falling object change as a ufunction of time? How does the leveo l of water in a bstarrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the worl and and unidvverse, and powerful modern instrumentes hs help us see more and more. In this section aewwe introduce ithe ideas of avearrage and instantaneous rates of change, and show that they are closely related the o the slope of a curve at ta a ponit point P on the curve. weWe igive percirecise developments of these important concepts onin the next chapter, but for now sewe use an informal approach so you will see how they lead naturally to the main ieadea of this chapter, the limit. The idea of a limit plays a foundational role thorughthroughout claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 402 163 165 194 322 113 236 89 108 46 48 102 206 83 291 53 114 328 88 84 73 40 84 53 189
Character e l s p -p -s p s u s u n d e r s t a n d h o
Milliseconds 86 56 112 54 325 104 145 54 87 45 89 116 91 136 48 114 35 97 341 50 117 33 95 146 39
Character w a c h a n g e i n o u -u n e q u a n t
Milliseconds 32 114 85 102 103 47 116 86 76 84 112 87 45 95 107 48 254 207 40 80 198 96 120 72 115
Character i t y i s r e a l -l -a l a t e d t o a c
Milliseconds 30 135 79 175 184 91 93 114 27 84 25 361 99 163 37 37 26 142 130 413 34 97 115 117 132
Character h a n g e i n a n o t h e r . h o w -h -o -w
Milliseconds 75 79 54 82 52 132 84 29 84 89 113 41 38 109 63 30 55 72 188 45 96 104 218 0 0
Character - H o w d o e s t h e s p e d -d e d o f
Milliseconds 0 270 161 38 106 122 35 86 34 125 127 52 53 110 225 90 56 361 261 29 151 155 80 53 163
Character a f a l l i n g o b j e c t c h a n g e a
Milliseconds 52 88 75 71 99 149 33 79 22 89 46 79 118 49 155 128 103 120 40 87 38 55 41 121 65
Character s a u -u f u n c t i o n o f t i m e ? H
Milliseconds 66 99 80 93 215 271 57 98 160 104 117 39 33 43 196 396 80 87 64 47 51 36 260 81 135
Character o w d o e s t h e l e v e o - -o l o f
Milliseconds 126 76 95 89 38 72 84 80 48 60 25 109 86 67 113 76 152 132 228 120 262 84 84 51 67
Character w a t e r i n a b s t -t -s a r r e l c h a
Milliseconds 92 77 109 100 86 89 112 30 108 339 81 90 121 98 338 101 54 68 138 105 88 111 119 55 83
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 41 65 29 133 152 57 122 92 117 58 96 124 92 163 39 86 47 114 88 38 83 142 36 61 94
Character a m o u n t o f l i q u i d p o u r e d i
Milliseconds 261 54 81 100 165 56 89 157 152 319 89 40 121 95 25 248 110 190 216 70 47 304 160 66 104
Character n t o i t ? W e s e e c h a n g e o c c
Milliseconds 34 76 23 146 74 78 165 100 330 512 92 72 47 120 128 106 77 55 70 82 26 101 185 71 453
Character u r r i n g i n n e a r l y e v e r y t h i
Milliseconds 137 57 133 203 71 56 93 72 338 60 169 80 37 46 96 98 109 71 140 105 49 42 323 177 161
Character n g w e o b s e r v e i n t h e w o r l
Milliseconds 52 39 89 57 53 98 176 109 158 76 64 160 118 110 491 50 100 103 35 54 123 26 37 80 34
Character a n -n -a - d a n d u n i d v -v -d v e r s e ,
Milliseconds 237 139 85 208 118 114 85 43 66 29 106 70 148 138 78 155 25 435 131 50 133 48 79 85 55
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 186 84 35 62 113 58 43 51 39 41 130 66 72 114 124 108 102 134 21 360 107 260 41 81 116
Character r u m e n t e s h -h - -s -e s h e l p u s s
Milliseconds 111 74 108 126 102 72 26 44 119 98 255 91 168 147 61 101 118 98 50 145 98 92 59 78 82
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 64 114 135 49 51 58 44 97 115 59 387 285 205 34 35 48 68 85 136 149 186 81 28 20 87
Character s e c t i o n a e w -w -e -a w e i n t r o d u
Milliseconds 132 73 170 193 113 38 29 32 150 139 42 30 305 120 113 48 50 114 177 54 143 124 46 137 115
Character c e i -i t h e i d e a s o f a v e a r -r -a
Milliseconds 157 458 91 166 338 74 70 68 79 129 32 127 96 96 126 54 44 100 221 300 165 33 0 400 102
Character r a g e a n d i n s t a n t a n e o u s r a
Milliseconds 73 157 38 44 142 81 53 64 81 78 52 242 151 56 123 63 541 114 173 146 105 79 106 204 89
Character t e s o f c h a n g e , a n d s h o w t
Milliseconds 84 46 56 149 87 118 273 191 77 52 86 86 0 101 86 77 44 62 64 94 54 38 87 98 141
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 37 34 77 116 347 23 101 47 87 99 72 19 96 168 95 133 38 34 84 140 76 128 260 155 136
Character t e d t h e - -e -h o t h e s l o p e o f
Milliseconds 56 48 130 117 90 44 57 171 230 126 120 202 95 72 40 29 118 49 79 135 342 82 134 50 32
Character a c u r v e a t t a - -a -t a p o n i t
Milliseconds 114 47 129 81 228 79 225 92 120 75 106 80 103 196 96 168 126 120 87 78 122 36 63 28 35
Character -p -o -n -i -t - p o i n t P o n t h e c u r
Milliseconds 125 304 0 0 0 0 0 309 38 42 18 47 101 143 196 424 44 98 87 26 35 108 122 92 346
Character v e . w e -e -w W e i -i g i v e p e r c i -i -c
Milliseconds 209 79 39 102 284 301 257 115 172 169 160 467 407 42 161 49 39 165 659 106 21 164 100 207 129
Character -r -e r e c i s e d e v e l o p m e n t s o f
Milliseconds 159 111 58 48 244 190 61 39 165 350 168 156 52 167 159 121 217 131 100 47 78 167 107 83 95
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 101 41 40 104 96 102 335 95 61 113 0 179 56 64 35 92 129 243 89 36 141 55 103 86 148
Character o n -n -o i n t h e n e x t c h a p t e r ,
Milliseconds 185 29 287 95 179 35 84 54 40 34 112 79 153 243 202 115 169 64 150 74 104 165 0 69 83
Character b u t f o r n o w s e -e -s w e u s e a n
Milliseconds 123 48 86 99 123 40 97 126 131 38 32 126 269 120 267 103 226 58 127 88 39 55 116 243 65
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 106 55 78 75 206 44 130 84 337 125 95 104 99 57 85 342 138 87 109 195 40 150 175 0 15
Character w i l l s e e h o w t h e y l e a d n
Milliseconds 33 59 76 83 92 75 70 100 86 143 0 54 81 91 84 69 47 87 45 80 147 90 104 105 322
Character a t u r a l l y t o t h e m a i n i e a -a
Milliseconds 160 97 80 102 43 29 133 86 82 101 43 114 70 45 38 119 52 100 49 53 77 96 173 138 324
Character -e d e a o f t h i s c h a p t e r , t h e
Milliseconds 117 38 124 136 155 196 80 63 90 47 37 53 99 85 77 91 70 89 169 36 0 136 101 84 38
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 106 67 63 82 135 142 75 86 100 146 42 236 100 62 362 80 121 72 52 103 148 141 93 74 105
Character i t p l a y s a f o u n d a t i o n a l r
Milliseconds 77 110 137 337 152 76 74 90 83 111 137 305 108 25 119 51 90 89 40 39 43 128 121 112 184
Character o l e t h o r u g h -t -h -o -r -u -g -h t h r o u g h
Milliseconds 79 135 72 85 47 63 117 37 44 113 58 250 0 0 0 0 0 0 227 91 89 86 39 64 85
Character o u t c l a -a -l a l c u l u s .
Milliseconds 128 58 54 82 183 117 81 360 101 46 127 144 121 301 204 111 209
WPM Timing
Seconds WPM
2.19 65.8
4.38 74.02
6.57 89.56
8.75 93.21
10.94 92.12
13.13 98.7
15.32 96.35
17.51 97.33
19.7 98.09
21.88 99.25
24.07 99.69
26.26 97.78
28.45 100.39
30.64 101.05
32.83 100.89
35.02 100.75
37.2 99.99
39.39 100.83
41.58 99.56
43.77 98.7
45.96 99.48
48.15 98.2
50.34 98.7
52.52 99.61
54.71 98.04
56.9 97.64
59.09 97.48
61.28 97.13
63.47 98.13
65.65 99.06
67.84 97.99
70.03 97.84
72.22 96.54
74.41 95.96
76.6 94.31
78.79 92.45
80.97 92.33
83.16 92.93
85.35 92.93
87.54 93.35
89.73 92.95
91.92 92.95
94.11 94.23
96.29 94.96
98.48 94.8
100.67 95.6
102.86 95.55
105.05 95.96
107.24 95.68
109.42 94.75