Srinivas (ashwin1994)

Race #8400

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Official speed 84.10 wpm (123.28 seconds elapsed during race)
Without ending ping 84.28 wpm (266 ms delay sending score to TypeRacer’s server)
Timerless 84.41 wpm (185 ms elapsed before first character typed; 122.83 seconds elapsed during race)
Timerless minus one 84.31 wpm, ignoring the first character typed
Race Start January 3, 2024 4:49:59pm UTC
Race Finish January 3, 2024 4:52:03pm UTC
Outcome No win (2 of 4)
Opponents 1. chainship (95.14 wpm)
Accuracy 97.2%
Points 227.07
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 htthat helps us understand how a change in one quantity is related to a change in another. hoHow does the speed of a falling object change as a fucntinction of time? How does the lebvel vel of water in a barrel change as a function of the amount of liquid poured into it? We see change occuringring in nearly eveythirything we obsevrrve in the world and universe, and powerful modern instruments helpo us us see more and more. In this section we introduce the idead s of average and instantaneous rates of change, and show that they are closely related ot tto the slope of a curve at a point P on the curve. We give precise debvelovelopments of these mpoimportant concepts in the next chapter, but for now we use a nin informal appraoach so you will see how theylead lead naturally to the meainain idea of this chapter, the limit. The idaea of a mlimlimit playus aass a foundatoinaional role throughout calucullus.us/..
Timing
Character C a l c u l u s i s a t o o l h t -t -h t h
Milliseconds 185 143 151 420 92 136 157 255 63 96 37 126 82 97 95 78 120 151 61 146 31 358 145 91 88
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 74 43 63 126 67 103 147 96 69 195 86 70 101 103 39 163 60 161 127 103 21 119 84 119 34
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 89 85 110 56 138 82 81 82 42 86 51 58 67 104 66 104 75 104 253 107 144 190 830 86 92
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 113 163 181 131 122 180 51 130 31 204 71 182 65 148 45 75 479 103 89 84 85 89 151 97 81
Character i n a n o t h e r . h o -o -h H o w d o e s
Milliseconds 92 87 87 52 79 60 65 96 66 39 131 15 295 114 225 185 227 82 125 89 103 87 73 157 61
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 137 49 393 115 100 104 97 128 159 27 84 131 98 91 69 324 123 13 135 113 58 83 78 78 103
Character j e c t c h a n g e a s a f u c n t i -i -t
Milliseconds 193 96 146 151 87 129 106 101 88 52 92 106 345 150 40 119 44 741 60 112 113 125 99 187 159
Character -n -c n c t i o n o f t i m e ? H o w d o e
Milliseconds 145 136 165 83 157 46 67 42 120 84 120 52 142 33 76 110 264 150 350 103 173 107 469 80 102
Character s t h e l e b v e l - -l -e -v -b v e l o f
Milliseconds 151 163 658 86 64 64 84 63 129 0 60 60 114 269 163 160 161 157 73 115 103 96 192 88 69
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 244 138 115 77 105 93 78 171 179 103 78 84 85 154 160 120 80 77 111 108 128 111 70 96 83
Character a s a f u n c t i o n o f t h e a m o u
Milliseconds 141 104 102 79 65 297 75 147 429 186 60 41 69 119 96 116 95 99 34 136 91 80 76 69 110
Character n t o f l i q u i d p o u r e d i n t o
Milliseconds 219 7 124 139 102 59 113 114 171 166 150 147 134 548 319 115 121 140 154 60 77 66 86 41 106
Character i t ? W e s e e c h a n g e o c c u r i n
Milliseconds 129 60 202 99 146 149 78 105 148 146 103 77 113 46 124 24 80 100 106 308 169 65 120 50 61
Character g -g -n -i r i n g i n n e a r l y e v e y t h
Milliseconds 128 263 162 155 94 62 49 89 40 110 78 70 150 50 148 80 68 168 53 86 94 87 68 146 60
Character i -i -h -t -y r y t h i n g w e o b s e v r -r -v r
Milliseconds 105 195 154 161 151 108 95 95 77 96 110 70 73 66 179 94 106 203 160 177 131 139 248 154 92
Character v e i n t h e w o r l d a n d u n i v e
Milliseconds 137 86 115 103 39 153 0 106 76 98 64 104 85 78 85 62 191 65 94 35 111 75 97 67 75
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 53 168 162 38 90 43 107 44 102 49 180 59 158 86 213 89 131 88 99 51 94 164 53 132 71
Character i n s t r u m e n t s h e l p o u s -s -u - -o
Milliseconds 83 76 85 159 683 59 156 75 96 137 174 113 315 71 92 162 0 85 122 56 225 153 147 136 76
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 131 114 442 94 163 139 178 105 76 20 78 91 106 60 84 50 68 78 40 48 124 49 199 80 64
Character t h i s s e c t i o n w e i n t r o d u c e
Milliseconds 128 85 90 99 112 307 173 136 183 112 14 54 121 100 158 90 147 50 61 173 90 292 94 96 89
Character t h e i d e a d - -d s o f a v e r a g e
Milliseconds 70 101 63 79 52 84 83 160 114 130 187 354 123 108 100 93 692 65 133 95 78 59 214 118 84
Character a n d i n s t a n t a n e o u s r a t e s
Milliseconds 66 109 44 95 39 88 79 64 143 84 122 353 148 475 108 208 88 167 71 147 146 123 56 211 105
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 78 85 80 144 95 109 80 71 74 76 58 93 86 58 103 92 44 64 81 92 52 60 65 49 69
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 86 40 134 46 76 46 93 80 83 159 44 147 32 151 79 189 91 152 61 120 41 165 125 174 38
Character o t t -t - -t -o t o t h e s l o p e o f a
Milliseconds 115 27 168 36 278 141 146 139 77 70 87 38 102 76 51 146 42 157 134 340 96 149 111 69 85
Character c u r v e a t a p o i n t P o n t h
Milliseconds 67 101 111 72 165 108 188 96 166 82 112 104 85 94 194 41 60 102 146 141 154 78 88 26 105
Character e c u r v e . W e g i v e p r e c i s e
Milliseconds 73 83 110 92 87 175 71 105 59 295 191 69 157 79 108 31 83 83 140 536 196 91 142 162 95
Character d e b v e l o -o -l -e -v -b v e l o p m e n t s o f
Milliseconds 176 180 79 0 76 45 170 215 153 164 163 155 48 97 85 186 134 130 75 110 69 168 56 89 80
Character t h e s e m p o -o -p -m i m p o r t a n t c o
Milliseconds 96 80 62 519 192 162 103 114 104 157 263 150 147 182 50 116 121 101 160 83 114 60 104 108 48
Character n c e p t s i n t h e n e x t c h a p t e
Milliseconds 85 88 137 139 85 209 92 84 46 148 0 90 69 94 50 47 187 172 100 118 107 75 139 68 102
Character r , b u t f o r n o w w e u s e a n
Milliseconds 151 136 72 103 87 43 104 93 70 74 80 73 124 100 89 141 164 57 111 65 159 54 124 118 93
Character i -i -n - n i n f o r m a l a p p r a -a o a c h
Milliseconds 148 265 157 121 172 60 88 82 76 113 422 114 120 87 170 203 55 131 66 246 361 165 105 114 121
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 71 242 45 87 195 87 95 86 144 121 183 120 70 120 132 153 42 161 73 125 69 122 55 102 81
Character l e a d -d -a -e -l l e a d n a t u r a l l y t
Milliseconds 162 57 120 131 226 154 151 134 113 120 83 144 114 85 89 45 100 72 113 183 93 127 156 42 78
Character o t h e m e a i n -n -i -a -e a i n i d e a o
Milliseconds 92 72 101 102 319 135 60 146 129 98 51 213 159 148 145 128 36 67 77 91 50 177 115 48 63
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 94 93 95 104 235 129 94 424 106 67 106 85 138 48 124 59 194 86 116 47 96 75 104 95 119
Character . T h e i d a -a e a o f a m l i m -m -i -l
Milliseconds 96 114 144 91 138 84 211 84 248 376 96 133 63 76 120 70 131 74 84 79 129 67 224 151 166
Character -m l i m i t p l a y u s a -a - -s -u a s -s -a s
Milliseconds 148 191 115 73 113 101 85 80 176 108 101 0 107 91 135 165 159 147 144 108 432 108 229 324 151
Character a f o u n d a t o i n a -a -n -i -o i o n a l r o
Milliseconds 56 900 137 84 106 75 396 153 122 102 0 40 185 248 160 154 138 205 120 0 207 52 86 188 70
Character l e t h r o u g h o u t c a l u -u c u l l u s
Milliseconds 138 68 93 163 51 115 61 109 0 115 81 54 119 122 144 96 84 382 323 118 86 135 136 0 128
Character . -. -s -u -l u s / . -. -/ .
Milliseconds 105 291 159 152 167 278 159 85 0 613 356 441
WPM Timing
Seconds WPM
2.47 82.74
4.93 87.6
7.4 103.83
9.86 93.69
12.33 95.39
14.79 94.09
17.26 94.56
19.73 96.12
22.19 90.31
24.66 89.06
27.12 84.95
29.59 85.58
32.05 86.86
34.52 88.65
36.98 87.28
39.45 89.13
41.92 88.75
44.38 87.6
46.85 87.35
49.31 89.55
51.78 89.69
54.24 88.05
56.71 89.09
59.18 89.63
61.64 89.16
64.11 89.48
66.57 88.87
69.04 91.08
71.5 91.3
73.97 91.01
76.43 91.53
78.9 92.01
81.37 90.41
83.83 90.32
86.3 89.69
88.76 90.44
91.23 91.16
93.69 90.29
96.16 89.98
98.63 89.67
101.09 89.98
103.56 89.34
106.02 89.53
108.49 89.37
110.95 88.79
113.42 87.29
115.88 86.26
118.35 86.49
120.82 85.52
123.28 84.1