Meinhardt (captaindouchecat)

Race #2574

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Official speed 63.80 wpm (162.51 seconds elapsed during race)
Without ending ping 63.89 wpm (220 ms delay sending score to TypeRacer’s server)
Timerless 63.92 wpm (78 ms elapsed before first character typed; 162.21 seconds elapsed during race)
Timerless minus one 63.84 wpm, ignoring the first character typed
Race Start August 31, 2023 8:58:40am UTC
Race Finish August 31, 2023 9:01:22am UTC
Outcome No win (2 of 5)
Opponents 1. redlinec (77.79 wpm)
Accuracy 97.1%
Points 172.26
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 quantity is related to chaa change in another. How does the dspeed of a falling jobject hcchange as a funtction of time? How does te he level of water in a barrel change as af function of the amount of liquid puoured into it? We see change occurinring in nearly everytihhing we observe in the world and universe, and powerfulm modern instruments help us see more and more. In this section we introduce the ideas of average and intststantaneous ratses of chnageange, and howshow that they are closely related to the slope of a curve at a point P on the curve. We give precise develiopments of these important concepts in the next chapter, but for now we use an informal approach s o you will see how they lead naturally to the ammain idea of this comahhapter, the milimit,. The idea of a limiit plays a foundatoinional role throgughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 78 707 221 321 144 608 416 153 1326 126 102 80 472 132 177 50 185 187 192 406 53 103 103 36 227
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 110 112 250 111 108 144 147 100 181 194 119 183 58 191 88 188 94 154 136 190 58 77 95 170 102
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 157 32 165 76 75 69 74 139 71 153 166 45 113 86 397 57 181 197 508 80 178 90 105 182 110
Character r e l a t e d t o c h a -a -h -c a c h a n g
Milliseconds 73 128 72 199 463 219 223 364 120 203 0 93 272 68 152 215 131 138 608 169 237 81 148 44 122
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 61 94 240 89 100 160 60 108 125 69 44 95 118 128 372 263 97 252 256 66 140 146 83 119 64
Character e d -d s p e e d o f a f a l l i n g j -j
Milliseconds 64 105 199 409 151 144 109 167 146 66 212 55 111 165 101 288 111 100 150 107 82 114 141 304 334
Character o b j e c t h c -c -h c h a n g e a s a f u
Milliseconds 214 104 155 132 515 233 113 222 0 347 143 140 125 105 96 101 86 101 233 135 122 140 131 288 112
Character n t -t c t i o n o f t i m e ? H o w d o e
Milliseconds 746 310 423 131 193 92 46 72 172 96 128 57 208 67 69 79 328 149 237 192 124 110 190 88 93
Character s t e - -e h e l e v e l o f w a t e r
Milliseconds 208 91 136 124 87 624 152 229 145 99 206 99 129 71 198 175 155 115 49 204 202 126 118 73 131
Character i n a b a r r e l c h a n g e a s a f -f
Milliseconds 117 87 128 69 135 254 196 179 195 77 117 155 190 96 108 77 67 91 142 214 95 165 166 288 458
Character f u n c t i o n o f t h e a m o u n t o
Milliseconds 164 296 90 218 86 202 91 0 92 184 106 123 44 296 66 103 87 197 104 85 195 252 126 137 241
Character f l i q u i d p u -u o u r e d i n t o i t
Milliseconds 0 191 358 48 472 81 101 183 137 510 186 390 224 104 72 200 182 117 218 78 107 393 200 175 55
Character ? W e s e e c h a n g e o c c u r i n -n -i
Milliseconds 827 389 242 227 262 343 170 155 93 135 71 93 105 85 84 109 331 174 166 102 121 129 95 349 127
Character r i n g i n n e a r l y e v e r y t i h -h -i
Milliseconds 149 97 72 117 105 217 61 131 230 96 133 111 113 167 139 172 196 74 141 1011 199 108 0 487 143
Character h i n g w e o b s e r v e i n t h e w o
Milliseconds 296 54 218 137 115 164 57 116 283 251 266 317 217 209 110 100 105 73 148 193 57 90 78 129 111
Character r l d a n d u n i v e r s e , a n d p o w
Milliseconds 47 453 117 126 141 33 117 71 196 200 84 139 169 107 144 179 110 143 104 73 60 82 313 190 126
Character e r f u l m -m m o d e r n i n s t r u m e n t
Milliseconds 55 86 192 128 167 302 393 146 194 122 206 187 53 288 175 262 85 178 156 186 86 255 74 130 63
Character s h e l p u s s e e m o r e a n d m o
Milliseconds 113 168 235 145 53 227 173 153 103 112 229 195 187 69 222 57 74 62 154 163 29 515 184 206 64
Character r e . I n t h i s s e c t i o n w e i n
Milliseconds 62 82 177 124 218 181 175 126 58 50 70 81 404 167 211 791 77 55 79 204 253 64 106 369 93
Character t r o d u c e t h e i d e a s o f a v e r
Milliseconds 236 312 89 479 129 189 195 200 184 48 111 47 236 108 169 130 226 180 186 94 69 237 193 106 203
Character a g e a n d i n t s t -t -s -t s t a n t a n e o
Milliseconds 313 187 52 183 145 45 128 69 465 65 125 176 202 217 154 121 120 86 110 113 223 534 209 605 593
Character u s r a t s -s e s o f c h n a g e -e -g -a -n a
Milliseconds 124 138 125 278 96 261 218 337 100 144 140 95 96 98 178 54 532 112 124 79 269 125 154 175 498
Character n g e , a n d h o w -w -o -h s h o w t h a t
Milliseconds 116 104 53 130 132 349 58 99 92 163 82 55 300 128 139 71 138 61 83 105 110 118 0 125 66
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 164 41 77 136 111 123 113 59 125 193 64 175 99 133 119 220 127 214 82 124 93 162 75 161 111
Character t o t h e s l o p e o f a c u r v e a
Milliseconds 173 101 86 136 116 0 134 184 71 153 230 355 131 158 114 88 240 93 223 145 66 316 433 372 288
Character t a p o i n t P o n t h e c u r v e .
Milliseconds 59 41 215 107 195 62 96 84 193 2111 274 223 242 94 165 75 90 71 91 368 145 16 341 77 132
Character W e g i v e p r e c i s e d e v e l i -i o
Milliseconds 158 166 149 139 228 104 108 97 97 249 110 82 291 117 527 183 112 394 166 157 111 123 464 339 237
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 239 272 0 812 100 136 120 140 88 88 120 68 81 174 55 185 183 180 302 187 123 181 137 107 125
Character c o n c e p t s i n t h e n e x t c h a
Milliseconds 98 224 98 59 147 187 195 154 239 164 157 59 106 52 104 63 71 192 72 218 186 79 313 227 88
Character p t e r , b u t f o r n o w w e u s e
Milliseconds 274 303 193 48 161 158 214 47 200 103 309 66 126 116 113 59 108 100 156 120 329 363 156 137 79
Character a n i n f o r m a l a p p r o a c h s - o
Milliseconds 190 61 136 150 74 102 159 118 118 132 100 572 223 123 157 397 161 0 514 438 176 214 190 405 220
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 179 170 130 68 110 195 84 0 178 109 170 150 184 88 174 110 0 374 200 94 66 96 107 186 91
Character a d n a t u r a l l y t o t h e a m -m -a m
Milliseconds 176 190 106 220 112 152 109 88 122 91 157 166 89 203 63 127 114 86 61 108 173 233 321 133 420
Character a i n i d e a o f t h i s c o m -m -o a h -h
Milliseconds 147 54 50 168 234 128 246 164 126 143 88 63 141 62 55 69 105 168 61 107 286 155 299 182 219
Character -a h a p t e r , t h e m i -i -m l i m i t , -, .
Milliseconds 148 214 129 92 232 301 82 208 112 159 79 90 58 184 157 313 129 311 215 100 187 501 174 444 263
Character T h e i d e a o f a l i m i i -i t p l
Milliseconds 158 124 322 49 124 264 77 235 198 150 166 120 56 155 109 484 202 201 168 278 355 147 63 351 196
Character a y s a f o u n d a t o i n -n -i -o i o n a l
Milliseconds 108 151 152 142 322 136 338 103 85 206 101 274 106 89 0 98 536 166 158 364 108 78 214 87 431
Character r o l e t h r o g -g u g h o u t c a l c u l u
Milliseconds 495 102 273 373 108 275 27 763 131 202 466 246 144 170 263 70 104 143 291 220 117 537 121 223 252
Character s .
Milliseconds 138 88
WPM Timing
Seconds WPM
3.25 29.54
6.5 44.31
9.75 59.07
13 65.54
16.25 64.24
19.5 65.84
22.75 65.93
26 66.46
29.25 65.23
32.5 64.61
35.75 63.77
39 65.54
42.25 65.61
45.5 67.25
48.75 66.21
52 64.84
55.25 64.94
58.5 65.02
61.75 64.13
65 65.35
68.25 65.58
71.5 65.95
74.75 66.46
78 66.61
81.25 66.61
84.5 67.03
87.75 66.05
91 65.4
94.25 64.42
97.5 65.23
100.75 66.1
104 65.88
107.26 64.89
110.51 65.37
113.76 64.98
117.01 64.92
120.26 65.26
123.51 65.58
126.76 66.08
130.01 65.72
133.26 65.92
136.51 66.37
139.76 66.2
143.01 65.87
146.26 65.31
149.51 65.25
152.76 64.97
156.01 64.54
159.26 63.9
162.51 63.8