deeptrout (deeptrout)

Race #6729

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Official speed 82.46 wpm (125.73 seconds elapsed during race)
Without ending ping 82.53 wpm (110 ms delay sending score to TypeRacer’s server)
Timerless 82.84 wpm (472 ms elapsed before first character typed; 125.15 seconds elapsed during race)
Timerless minus one 82.75 wpm, ignoring the first character typed
Race Start March 2, 2024 10:34:45pm UTC
Race Finish March 2, 2024 10:36:51pm UTC
Outcome No win (2 of 4)
Opponents 1. naurwigs (87.62 wpm)
Accuracy 96.8%
Points 222.65
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 Cacllculus is a toool that helps up s understand how a change in one quantity is related to a change in another. How does the speed of a fallingobe object change as a ffuncunction of time.? How does the level of wter iaater ina b a barrel change as a function of the maamount of lquiquid poured into it? We see change occurring in nearly everything we observe in the world and unviiverse, and powerful modern instruments helpp us us seem moresee more and more. In histhis section we introduc ee the ideas of averagte e and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on th ece curve. We give precise developpmments of these important ceononcepts in the next tchapter, but for now we use an informal appreaoach so you willl see see how they lead naturally to the main iaddea of this chapater, the olliimimit. The idea of a limit op=plays s a foundational role thorughroughout calculus.
Timing
Character C a c l -l -c l c u l u s i s a t o o o -o l
Milliseconds 472 173 264 184 356 117 244 138 92 99 264 190 77 70 251 124 174 70 193 113 114 166 425 194 101
Character t h a t h e l p s u p - -p s u n d e r s t
Milliseconds 67 78 69 59 52 44 147 36 105 191 118 96 118 110 371 122 71 130 83 69 62 78 100 131 49
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 65 59 133 95 153 48 92 70 154 106 143 113 70 90 75 38 89 58 88 81 94 81 69 108 308
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 107 157 153 177 84 130 94 101 124 226 98 157 93 134 119 135 83 221 63 126 55 94 63 140 174
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 146 87 110 141 89 77 86 97 76 248 145 55 67 102 31 71 156 206 334 239 95 105 115 86 130
Character s t h e s p e e d o f a f a l l i n g o
Milliseconds 79 40 133 54 87 75 89 109 116 167 190 93 99 212 184 104 114 98 121 399 104 106 105 37 187
Character b e -e -b -o o b j e c t c h a n g e a s a
Milliseconds 89 196 256 136 121 184 169 150 205 146 227 195 97 146 99 57 100 58 50 111 53 112 77 110 102
Character f f u n c -c -n -u -f u n c t i o n o f t i m e .
Milliseconds 177 55 63 40 146 324 115 124 135 213 62 51 220 88 34 70 92 109 71 76 127 92 69 78 226
Character -. ? H o w d o e s t h e l e v e l o f
Milliseconds 376 248 134 227 55 178 65 132 81 119 102 47 131 39 95 69 168 61 180 58 100 77 135 85 82
Character w t e r i -i - -r -e a -a -t a t e r i n a b -b -
Milliseconds 137 203 134 62 74 72 307 112 144 115 111 83 297 81 197 141 68 58 108 91 155 132 188 215 108
Character -a a b a r r e l c h a n g e a s a f u
Milliseconds 130 106 120 278 98 122 219 166 198 132 84 100 93 56 96 49 47 103 91 95 47 567 145 135 111
Character n c t i o n o f t h e m a -a -m a m o u n t
Milliseconds 61 91 193 83 36 80 65 111 53 88 111 69 77 72 162 30 422 107 59 90 121 124 182 138 87
Character o f l q u -u -q i q u i d p o u r e d i n t o
Milliseconds 133 114 127 194 334 98 232 95 190 81 118 106 184 191 147 105 59 81 97 214 74 72 81 87 26
Character i t ? W e s e e c h a n g e o c c u r r
Milliseconds 117 115 121 375 127 222 67 400 69 57 135 111 127 71 87 59 60 50 105 268 101 129 140 105 192
Character i n g i n n e a r l y e v e r y t h i n g
Milliseconds 196 42 116 41 86 64 99 134 129 139 52 121 103 134 146 223 90 92 100 148 80 87 133 74 94
Character w e o b s e r v e i n t h e w o r l d a
Milliseconds 344 86 129 248 121 306 104 131 260 59 146 74 80 86 27 115 45 54 81 40 82 89 58 107 94
Character n d u n v i -i -v i v e r s e , a n d p o w e
Milliseconds 56 101 62 150 72 155 99 353 113 179 51 143 119 106 79 210 75 125 42 115 52 167 110 119 9
Character r f u l m o d e r n i n s t r u m e n t s h
Milliseconds 66 213 108 60 111 271 90 175 72 109 122 75 103 84 59 72 138 98 178 63 129 119 68 82 61
Character e l p p u s -s -u - -p u s s e e m m o r e -m
Milliseconds 154 51 33 36 113 123 80 259 120 132 155 89 163 110 131 106 50 176 66 35 127 25 93 21 430
Character -o -r -e -s -e -e -m - s e e m o r e a n d m o r e
Milliseconds 0 0 0 133 0 0 0 0 498 67 165 30 81 87 27 52 92 74 82 88 75 65 87 59 48
Character . I n h i s -s -i -h t h i s s e c t i o n w
Milliseconds 151 88 222 97 143 140 104 119 245 129 257 182 129 65 89 23 218 99 275 191 82 32 81 58 79
Character e i n t r o d u c e -e - e t h e i d e a s
Milliseconds 52 109 135 85 166 88 148 455 152 144 114 119 369 71 67 63 123 75 93 62 104 91 161 66 204
Character o f a v e r a g t e - -e -t e a n d i n s
Milliseconds 121 121 120 114 158 157 169 73 202 109 14 64 147 227 120 108 60 118 54 101 88 88 71 86 58
Character t a n t a n e o u s r a t e s o f c h a n g
Milliseconds 187 176 173 154 220 346 159 138 74 154 63 324 103 145 67 225 77 62 95 114 192 67 103 70 48
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 83 111 74 107 49 605 108 100 111 51 48 94 70 83 117 25 55 102 48 118 101 30 87 102 94
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 67 173 74 144 65 65 236 69 140 209 68 181 122 152 67 256 80 99 92 61 52 110 51 79 94
Character l o p e o f a c u r v e a t a p o i n
Milliseconds 228 193 227 168 99 79 102 101 72 128 223 255 97 290 63 77 156 161 59 118 113 51 82 62 31
Character t P o n t h e c -c -e - e c u r v e . W
Milliseconds 93 71 245 332 124 120 54 134 57 160 15 265 296 119 121 8 173 117 103 123 221 65 141 63 240
Character e g i v e p r e c i s e d e v e l o p p m -m
Milliseconds 188 114 116 76 134 37 49 97 94 70 188 185 105 62 103 172 84 199 52 56 215 149 185 233 237
Character -p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 110 163 82 121 98 72 97 67 151 106 184 109 28 131 73 51 91 100 103 41 123 183 58 63 118
Character c e o n -n -o -e o n c e p t s i n t h e n e
Milliseconds 118 150 126 31 161 283 131 111 188 52 82 49 110 133 102 54 99 91 91 33 117 47 91 72 60
Character x t t -t c h a p t e r , b u t f o r n o w
Milliseconds 203 172 52 132 287 110 91 110 106 116 149 56 95 68 108 85 108 52 122 48 125 46 64 78 51
Character w e u s e a n i n f o r m a l a p p r e
Milliseconds 93 143 106 139 123 113 45 104 273 259 159 80 98 427 177 163 84 113 75 71 103 142 116 148 56
Character a -a -e o a c h s o y o u w i l l l s e e
Milliseconds 125 392 112 194 17 184 96 95 62 79 59 107 89 96 71 147 133 19 109 99 61 63 65 153 27
Character - -s -e -e - -l s e e h o w t h e y l e a d
Milliseconds 298 107 0 0 487 95 107 229 38 152 72 24 77 95 60 104 4 137 40 86 102 39 54 171 76
Character n a t u r a l l y t o t h e m a i n i a d
Milliseconds 111 134 70 97 111 86 49 108 133 96 113 80 111 182 79 87 91 78 150 55 53 104 125 117 206
Character -d -a d e a o f t h i s c h a p a -a t e r ,
Milliseconds 246 96 58 185 78 89 109 100 91 86 53 78 36 124 152 282 135 81 455 273 94 164 60 118 72
Character t h e o l -l -o l i i m i -i -m -i m i t . T h e
Milliseconds 62 82 71 60 193 149 238 121 263 76 106 12 172 389 114 102 195 104 174 121 71 123 135 66 106
Character i d e a o f a l i m i t o p = -= -p -o p l a
Milliseconds 83 232 206 64 125 25 134 72 94 442 307 327 19 177 415 197 184 200 311 222 154 139 208 95 99
Character y s s - -s a f o u n d a t i o n a l r o l
Milliseconds 122 122 83 102 105 324 128 61 202 111 86 61 153 70 143 207 85 54 56 92 134 109 132 120 139
Character e t h o r u g h -h -g -u -r -o r o u g h o u t c a
Milliseconds 65 98 103 99 74 32 78 134 42 338 140 137 134 145 73 143 91 109 113 97 78 103 79 197 81
Character l c u l u s .
Milliseconds 130 134 109 91 348 241 121
WPM Timing
Seconds WPM
2.51 33.4
5.03 57.26
7.54 68.4
10.06 79.93
12.57 83.99
15.09 85.9
17.6 87.94
20.12 83.51
22.63 84.84
25.15 83.51
27.66 83.73
30.18 79.93
32.69 78.19
35.21 79.42
37.72 80.17
40.23 79.33
42.75 79.72
45.26 81.39
47.78 81.88
50.29 83.75
52.81 83.4
55.32 84.59
57.84 83.2
60.35 83.11
62.87 82.08
65.38 82.04
67.9 82.18
70.41 81.98
72.93 81.95
75.44 83.19
77.95 83.74
80.47 84.11
82.98 84.59
85.5 83.79
88.01 84.26
90.53 84.44
93.04 84.35
95.56 84.77
98.07 85.28
100.59 84.7
103.1 84.27
105.62 85.21
108.13 85.23
110.65 85.14
113.16 84.09
115.68 84.24
118.19 83.05
120.7 82.71
123.22 82.39
125.73 82.46