Candle_Learner (candlelearner)

Race #1108

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Official speed 68.12 wpm (152.20 seconds elapsed during race)
Without ending ping 68.32 wpm (443 ms delay sending score to TypeRacer’s server)
Timerless 68.52 wpm (439 ms elapsed before first character typed; 151.32 seconds elapsed during race)
Timerless minus one 68.44 wpm, ignoring the first character typed
Race Start October 15, 2023 8:28:48pm UTC
Race Finish October 15, 2023 8:31:20pm UTC
Outcome No win (2 of 5)
Opponents 3. firesforsale (66.59 wpm)
Accuracy 97.3%
Points 183.93
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 helps us understand how a change in one quiantity 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 barreld chagnge as a function of the amount of liquickd poured into it? We see change occurring in nearly everything we obsefrve in tehehe world and iuniverse, and powerful dmodern instruments jhhelp us see more and more. In this sections we introcuduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slp=ope of a curve at pa point P on the curve. We give presicise developmaents of these omimportant conscepts in the next hchapter, but for now we use an informal apporroach so you will see how they lead naturally to the main ide a of this chapter, the limit. The idea of a litmmit plays a foundational frole throughout claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 439 518 386 398 86 215 191 158 80 120 104 117 227 217 206 160 163 172 146 80 79 64 96 65 145
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 79 93 107 97 246 136 81 119 161 183 104 161 96 143 425 145 118 93 125 121 102 79 144 160 105
Character c h a n g e i n o n e q u i -i a n t i t y
Milliseconds 160 57 119 120 105 185 54 160 105 101 122 96 119 105 319 81 79 426 235 491 266 118 216 168 122
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 159 53 163 246 81 280 65 120 121 481 117 145 79 105 137 144 158 53 131 136 65 160 36 244 104
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 136 104 79 65 79 138 59 85 120 143 243 277 143 81 176 63 145 54 83 160 63 55 129 161 96
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 160 183 224 52 168 85 118 137 104 160 105 119 424 176 64 119 105 199 745 279 146 175 184 79 162
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 105 136 127 38 176 464 107 199 103 296 120 184 183 161 358 184 83 10 173 137 118 105 80 160 20
Character m e ? H o w d o e s t h e l e v e l o f
Milliseconds 100 80 370 174 202 286 136 80 345 79 103 81 76 148 56 64 120 96 60 189 158 121 160 143 161
Character w a t e r i n a b a r r e l d -d c h a g
Milliseconds 97 158 86 163 136 81 79 168 96 104 136 120 168 280 159 161 160 160 168 522 184 118 93 25 362
Character -g n g e a s a f u n c t i o n o f t h e
Milliseconds 303 200 36 189 119 105 97 103 136 119 265 103 216 265 184 80 13 171 136 185 143 80 136 40 120
Character a m o u n t o f l i q u i c k -k -c d p o u
Milliseconds 148 115 106 78 137 204 84 476 164 160 144 319 120 300 85 320 207 93 364 128 161 95 544 424 103
Character r e d i n t o i t ? W e s e e c h a n g
Milliseconds 137 224 240 66 134 88 136 344 119 161 104 808 216 464 425 159 120 120 184 121 121 118 121 102 65
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 135 241 208 239 177 104 279 206 99 81 78 161 161 87 132 284 93 90 121 104 121 119 104 176 120
Character r y t h i n g w e o b s e f -f r v e i n t
Milliseconds 104 104 176 80 79 122 103 184 96 64 96 287 203 278 119 225 424 35 247 143 135 142 98 344 120
Character e h e -e -h -e h e w o r l d a n d i -i u n i v
Milliseconds 59 43 53 389 105 199 263 81 96 128 13 148 52 124 103 120 65 136 78 122 342 265 280 104 280
Character e r s e , a n d p o w e r f u l d -d m o d e
Milliseconds 264 56 144 160 241 80 103 104 136 160 120 248 136 122 222 280 80 171 133 121 382 225 95 147 159
Character r n i n s t r u m e n t s j h -h -j h e l p u
Milliseconds 145 54 145 159 104 298 142 224 159 226 505 118 136 184 300 220 20 444 103 201 200 104 96 167 163
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 78 119 98 103 183 133 268 160 104 81 79 263 57 160 104 95 105 159 161 328 400 321 198 148 118
Character h i s s e c t i o n s - -s w e i n t r o c
Milliseconds 63 52 390 118 225 159 200 184 52 43 169 160 176 345 103 176 89 79 136 327 96 264 267 159 383
Character u -u -c d u c e t h e i d e a s o f a v e r
Milliseconds 120 255 105 145 132 82 185 144 175 65 96 102 201 105 176 119 265 200 185 103 121 198 226 154 85
Character a g e a n d i n s t a n t a n e o u s r a t
Milliseconds 200 144 160 175 105 120 82 143 199 103 125 155 120 116 533 256 105 239 160 263 161 161 262 122 238
Character e s o f c h a n g e , a n d s h o w t h
Milliseconds 64 137 184 224 80 116 163 81 120 160 264 201 104 119 80 103 38 140 159 88 79 97 104 120 80
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 106 118 36 299 40 345 120 120 168 121 53 82 264 159 162 327 202 170 227 145 425 37 443 77 161
Character e d t o t h e s l p = -= -p o p e o f a
Milliseconds 61 221 104 103 176 120 128 55 61 124 281 238 145 356 326 125 216 185 161 99 164 120 80 143 160
Character c u r v e a t p -p a p o i n t P o n t
Milliseconds 161 79 162 263 159 97 145 146 77 184 531 149 121 143 136 128 239 361 160 264 226 134 156 172 136
Character h e c u r v e . W e g i v e p r e s i -i -s
Milliseconds 104 80 120 144 80 132 469 182 161 144 456 409 158 157 324 104 184 96 464 116 84 119 184 266 95
Character c i s e d e v e l o p m a -a e n t s o f t h
Milliseconds 159 89 137 119 121 248 199 177 166 81 200 96 504 159 405 100 104 105 120 159 136 87 120 138 59
Character e s e o m -m -o i m p o r t a n t c o n s -s c e
Milliseconds 246 105 159 162 313 30 356 105 240 119 162 221 100 199 168 176 26 173 209 85 132 103 344 79 160
Character p t s i n t h e n e x t h -h c h a p t e r
Milliseconds 240 530 214 104 120 103 121 15 146 38 441 264 105 199 176 120 184 344 53 172 55 120 144 104 135
Character , b u t f o r n o w w e u s e a n i
Milliseconds 144 87 171 60 123 80 279 145 105 50 165 82 85 80 160 15 146 264 137 103 78 162 81 119 199
Character n f o r m a l a p p o r -r -o r o a c h s o y
Milliseconds 106 200 102 137 144 119 145 280 116 124 119 200 65 402 103 144 96 142 297 87 81 281 78 200 304
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 97 103 77 109 95 247 137 190 130 75 253 120 159 105 54 145 202 160 118 81 160 224 120 80 224
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 36 166 58 123 81 239 82 142 160 97 167 136 63 282 159 81 103 97 144 144 13 347 144 319 98
Character e - a o f t h i s c h a p t e r , t h e
Milliseconds 183 185 463 95 106 135 104 104 121 38 81 56 170 398 96 145 155 164 120 105 119 79 221 45 159
Character l i m i t . T h e i d e a o f a l i t
Milliseconds 80 224 120 624 183 216 489 176 527 266 117 121 160 81 200 121 104 182 52 108 137 147 181 80 96
Character m -m -t m i t p l a y s a f o u n d a t i o n
Milliseconds 144 400 80 225 61 121 137 199 185 409 94 145 159 240 544 145 95 105 160 385 198 162 183 80 160
Character a l f -f r o l e t h r o u g h o u t c l a -a
Milliseconds 144 135 146 118 304 97 120 527 122 102 120 54 164 38 64 106 79 503 139 341 145 360 117 187 296
Character -l a l c u l u s .
Milliseconds 128 137 119 185 119 240 579 126 167
WPM Timing
Seconds WPM
3.04 51.25
6.09 70.96
9.13 77.53
12.18 70.96
15.22 73.32
18.26 78.19
21.31 78.84
24.35 76.38
27.4 76.65
30.44 77.66
33.48 77.41
36.53 75.89
39.57 76.42
42.62 73.77
45.66 72.54
48.7 72.19
51.75 72.81
54.79 72.49
57.84 72.2
60.88 71.75
63.92 71.52
66.97 70.42
70.01 70.62
73.06 70.47
76.1 69.85
79.15 69.44
82.19 69.79
85.23 69.55
88.28 70.55
91.32 70.43
94.37 70.32
97.41 70.1
100.45 69.52
103.5 69.34
106.54 68.93
109.59 68.77
112.63 68.4
115.67 68.26
118.72 68.43
121.76 68.99
124.81 68.75
127.85 69.08
130.89 69.58
133.94 69.61
136.98 69.56
140.03 69.42
143.07 69.11
146.11 68.91
149.16 68.79
152.2 68.12