Oren (oren132)

Race #424

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Official speed 92.49 wpm (112.10 seconds elapsed during race)
Without ending ping 92.87 wpm (196 ms delay sending score to TypeRacer’s server)
Timerless 93.16 wpm (356 ms elapsed before first character typed; 111.55 seconds elapsed during race)
Timerless minus one 93.05 wpm, ignoring the first character typed
Race Start October 23, 2023 8:45:33pm UTC
Race Finish October 23, 2023 8:47:25pm UTC
Outcome Win (1 of 4)
Opponents 3. iamsincan (85.87 wpm)
4. sekasmeowmix (73.96 wpm)
Accuracy 96.3%
Points 249.71
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 s a tool that helps us understand how a change in one quantity is realteelated to a change in antoother. How odoes the speed of a falling object change as af function of time? How does the level lof water in a barrel cahhangaee as a function of the amount of liquid poutred into it? We see change occurring in nearly everything we obsetrve in the world and universe, and powerful modern instruments help uis s see more and more. In thusis section wwe e intoroduce the ideas of average and instantenaneous rates of change, and show thtat they are closely realteelated to the slopeo f of a curve at a point pP on teh he curve. We give preceiseise developments of these important concepts in the next chapterm u, but for now we use an informal ppapproach so you will see how they lead natufrally to the main idea of this chapterm, the limit,.. The idaea ofdea of a mlimit plays a foundational role through t hout calculus.
Timing
Character C a l c u l u s i s s a -s - t o o l t h
Milliseconds 356 276 80 102 82 92 144 105 120 79 60 76 108 101 103 601 0 122 79 89 95 139 133 121 143
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 78 66 81 81 95 105 61 55 108 78 234 118 106 54 24 80 489 103 81 79 65 119 80 53 83
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 22 123 104 96 136 37 123 61 123 63 96 22 42 120 54 67 39 120 286 83 104 79 481 63 96
Character y i s r e a l t e -e -a -l -t -e e l a t e d t o
Milliseconds 102 124 94 24 120 120 80 104 64 161 54 418 0 0 0 0 63 106 135 64 79 137 105 127 56
Character a c h a n g e i n a n t o -o -t o t h e r .
Milliseconds 80 82 100 107 52 105 81 170 78 104 64 56 80 105 80 119 40 313 136 80 96 128 53 24 123
Character H o w o -o d o e s t h e s p e e d o f
Milliseconds 160 183 137 53 275 176 240 104 80 95 86 58 81 104 16 220 67 122 104 119 136 79 63 82 119
Character a f a l l i n g o b j e c t c h a n g e a
Milliseconds 57 127 249 63 55 120 162 64 53 67 104 80 120 96 80 192 103 129 61 58 81 80 61 123 96
Character s a f -f f u n c t i o n o f t i m e ? H
Milliseconds 46 122 57 231 304 87 54 83 81 63 176 22 55 106 81 80 144 53 107 63 81 120 136 119 146
Character o w d o e s t h e l e v e l l $o f w a t
Milliseconds 151 64 121 53 122 104 63 96 63 57 208 103 81 38 233 18 455 80 105 520 41 119 56 76 107
Character e r i n a b a r r e l c a h -a -h h a n g a
Milliseconds 102 99 105 135 64 80 64 120 136 160 184 113 61 81 121 119 104 40 520 0 81 23 217 165 108
Character e -e -a e a s a f u n c t i o n o f t h e
Milliseconds 78 217 168 96 120 61 136 203 80 119 38 106 65 80 176 13 82 103 82 80 117 82 63 57 105
Character a m o u n t o f l i q u i d p o u t -t r e
Milliseconds 53 148 148 82 138 158 161 376 39 105 80 40 81 119 80 77 195 79 54 68 199 103 233 80 53
Character d i n t o i t ? W e s e e c h a n g e
Milliseconds 146 106 52 67 119 38 275 248 80 223 78 183 237 159 80 78 162 96 120 119 106 79 337 53 106
Character o c c u r r i n g i n n e a r l y e v e r y
Milliseconds 136 119 128 95 120 106 144 13 82 106 119 36 83 80 88 80 38 162 80 78 81 170 81 344 62
Character t h i n g w e o b s e t -t r v e i n t h e
Milliseconds 255 56 65 82 62 118 43 80 120 95 89 318 56 402 281 79 216 280 128 54 63 122 82 79 104
Character w o r l d a n d u n i v e r s e , a n d
Milliseconds 93 107 53 81 138 53 82 80 62 98 81 167 81 120 160 96 144 105 94 216 80 54 82 64 40
Character p o w e r f u l m o d e r n i n s t r u m e n
Milliseconds 105 53 65 194 23 185 104 53 82 129 53 187 80 79 233 79 146 53 66 77 125 36 146 81 120
Character t s h e l p u i s - -s -i s s e e m o r e
Milliseconds 37 121 105 79 80 121 40 80 120 22 41 249 145 118 126 169 242 96 288 144 80 160 62 98 64
Character a n d m o r e . I n t h u s -s -u i s s e
Milliseconds 62 474 62 106 81 52 67 54 82 120 141 147 177 87 54 68 79 93 297 134 67 80 96 63 80
Character c t i o n w w e - -e -w e i n t o -o r o d u c
Milliseconds 193 176 13 81 130 62 82 264 21 84 239 145 216 79 120 96 61 83 120 449 223 79 194 80 279
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 104 81 78 82 78 79 66 79 64 97 103 54 105 40 106 53 123 80 121 143 120 65 191 79 146
Character d i n s t a n t e n -n -e a n e o u s r a t e s
Milliseconds 79 95 193 57 20 107 79 209 247 97 200 350 186 120 63 121 129 52 106 121 102 98 104 52 165
Character o f c h a n g e , a n d s h o w t h t -t
Milliseconds 151 144 55 81 119 63 82 80 81 62 120 56 105 104 96 80 200 136 23 54 131 78 121 170 471
Character a t t h e y a r e c l o s e l y r e a l t
Milliseconds 232 80 120 95 38 83 105 119 39 82 61 121 98 86 154 12 183 251 233 160 54 81 79 66 120
Character e -e -a -l -t -e e l a t e d t o t h e s l o p e
Milliseconds 63 488 0 0 0 0 63 105 95 82 105 176 63 144 53 84 168 79 53 106 121 23 155 78 77
Character o f - -f - -o o f a c u r v e a t a
Milliseconds 108 15 200 78 378 136 143 137 80 95 89 78 98 119 105 160 176 167 62 139 64 224 103 54 107
Character p o i n t p -p P o n t e h - -h -e h e c u
Milliseconds 223 62 187 62 58 64 289 223 199 266 119 54 172 134 117 42 183 258 151 134 131 37 105 130 56
Character r v e . W e g i v e p r e c e i s e -e -s -i -e
Milliseconds 143 168 58 78 128 278 180 95 120 104 78 66 97 119 23 133 171 81 128 56 121 127 144 145 149
Character i s e d e v e l o p m e n t s o f t h e s e
Milliseconds 56 67 103 159 80 136 159 86 99 248 81 191 64 121 55 128 81 79 81 79 122 79 185 79 94
Character i m p o r t a n t c o n c e p t s i n t h
Milliseconds 81 105 62 162 80 40 64 144 40 97 79 141 58 64 104 40 81 120 144 61 83 65 52 82 104
Character e n e x t c h a p t e r m u -u - -m , b u t
Milliseconds 54 105 65 54 212 52 147 144 62 121 118 107 54 105 122 38 274 224 151 152 80 63 81 80 80
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 120 80 77 106 96 82 38 62 82 97 40 129 229 65 55 82 120 144 79 329 40 119 82 119 120
Character a l p p -p -p a p p r o a c h s o y o u w i
Milliseconds 79 105 152 176 129 155 148 184 96 128 120 56 81 88 94 178 191 120 119 81 22 82 61 43 56
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 78 131 52 83 80 80 128 95 38 42 80 105 121 56 127 96 104 95 82 103 79 249 160 121 86
Character f -f r a l l y t o t h e m a i n i d e a
Milliseconds 210 327 104 37 124 109 49 81 120 78 123 36 100 87 54 83 143 96 62 58 88 97 36 123 64
Character o f t h i s c h a p t e r m -m , t h e l i
Milliseconds 136 105 144 78 82 53 42 129 79 53 81 106 78 58 104 81 320 279 120 80 65 52 108 56 62
Character m i t , . -. -, . T h e i d a -a -d e a o f -e -a
Milliseconds 178 54 80 185 13 299 145 191 222 162 105 53 82 80 81 144 175 153 53 67 81 118 62 458 0
Character - -o -f d e a o f a m $l i m i t p l a y s
Milliseconds 0 0 0 55 38 107 120 54 67 127 104 128 217 496 45 154 38 79 123 37 85 44 82 144 122
Character a f o u n d a t i o n a l r o l e t h r o u
Milliseconds 51 139 104 81 62 135 66 120 424 39 54 131 53 107 94 66 120 152 145 103 120 53 108 78 105
Character g h - t - -t -h h o u t c a l c u l u s .
Milliseconds 55 42 167 272 78 154 173 156 160 647 161 38 81 80 127 120 96 169 191 82 79 120 80
WPM Timing
Seconds WPM
2.24 69.58
4.48 85.64
6.73 96.34
8.97 100.36
11.21 94.2
13.45 95.45
15.69 94.05
17.94 97.01
20.18 97.53
22.42 100.63
24.66 98.78
26.9 97.68
29.15 95.93
31.39 96.34
33.63 97.77
35.87 96.68
38.11 97.6
40.36 97.83
42.6 96.63
44.84 97.95
47.08 98.89
49.32 97.8
51.57 97.97
53.81 97.46
56.05 95.06
58.29 96.14
60.53 95.55
62.78 95.58
65.02 95.42
67.26 95.63
69.5 94.79
71.74 93.83
73.99 94.07
76.23 92.25
78.47 92.67
80.71 91.73
82.95 92.44
85.19 93.53
87.44 93.05
89.68 93.67
91.92 93.21
94.16 94.3
96.4 94.1
98.65 95.13
100.89 94.8
103.13 93.55
105.37 93.38
107.61 93.89
109.86 93.07
112.1 92.49