Chra (chradora)

Race #4528

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Official speed 74.47 wpm (139.22 seconds elapsed during race)
Without ending ping 74.67 wpm (375 ms delay sending score to TypeRacer’s server)
Timerless 74.97 wpm (560 ms elapsed before first character typed; 138.29 seconds elapsed during race)
Timerless minus one 74.89 wpm, ignoring the first character typed
Race Start June 5, 2024 3:29:50pm UTC
Race Finish June 5, 2024 3:32:09pm UTC
Outcome No win (3 of 4)
Opponents 1. dalinar_ (101.69 wpm)
2. alternativeink (78.06 wpm)
Accuracy 96.8%
Points 201.08
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 quaznntity is related to changa change in another. hHow does the psspeed of a falling object change as a function of time? How does athe level of water in a abarrel chqangchanbege as a funtiction of the aouamount of liquid poured into it? Wee c see chagenge occurring in nearly everything we ovberserve in the world and iuniverse, and powerful modern instruments help us see more and mroemore. IN thIn this section we introduce the ideas of average and instanteaneous rates of change, and show that they are closely related to the slpope of a curve at t aa point P aon the curve. We give precise developments of these important conecepts in the next hchchapter, but for now we use an informal approac h so you will see how they lead naturally to the main idea of this chapter, the mlimit. The idea of a limit plays a foundationsal orole throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 560 221 118 310 133 176 222 137 69 197 90 63 152 75 174 84 141 200 129 93 84 63 75 21 174
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 108 71 160 125 98 237 91 115 151 176 49 175 69 220 66 89 133 90 111 140 59 69 108 130 96
Character c h a n g e i n o n e q u a z n -n -z n t i t
Milliseconds 132 44 156 22 105 159 48 131 70 65 194 71 94 107 263 64 227 0 90 464 155 180 154 130 270
Character y i s r e l a t e d t o c h a n g -c -h -a -n
Milliseconds 160 154 130 64 91 239 67 158 174 145 129 192 76 131 66 94 195 71 105 89 92 392 0 0 0
Character -g a c h a n g e i n a n o t h e r . h -h H
Milliseconds 0 426 115 153 87 136 36 143 169 23 249 49 102 119 111 63 129 73 111 83 225 113 376 556 199
Character o w d o e s t h e p s -s -p s p e e d o f
Milliseconds 155 128 142 155 88 83 138 88 136 58 111 49 135 87 351 154 114 135 91 180 198 89 111 110 91
Character a f a l l i n g o b j e c t c h a n g e a
Milliseconds 111 111 349 53 106 177 133 50 110 82 118 174 292 80 191 142 135 271 65 115 65 71 130 291 188
Character s a f u n c t i o n o f t i m e ? H o w
Milliseconds 96 69 219 114 147 72 194 187 200 86 66 71 112 131 85 114 132 65 90 43 352 91 261 31 132
Character d o e s a -a t h e l e v e l o f w a t e
Milliseconds 90 225 64 133 153 96 127 416 117 91 111 58 138 113 136 147 55 188 208 92 124 270 90 155 157
Character r i n a a -a b a r r e l c h q a n g -c -h -q
Milliseconds 65 61 99 84 89 84 379 627 464 69 112 242 244 111 126 136 231 43 192 0 44 137 469 0 0
Character -a -n -g c h a n b e -e -b g e a s a f u n t i -i
Milliseconds 0 0 0 268 84 111 67 88 135 529 160 132 157 111 161 83 90 267 146 112 111 160 129 158 427
Character -t c t i o n o f t h e a o u -a -o -u a m o u n
Milliseconds 153 133 183 63 87 67 105 143 111 88 392 65 118 46 190 138 71 510 0 0 598 127 118 88 154
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 70 330 199 135 67 269 132 201 130 107 851 130 444 152 89 54 64 216 89 156 66 133 70 90 373
Character t ? W e e c -c - -e s e e c h a g e -e -g n g
Milliseconds 140 528 69 266 111 174 68 172 385 193 153 223 28 47 200 111 132 64 106 101 147 488 158 238 124
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 208 99 310 153 158 174 174 452 132 110 66 132 88 85 73 197 137 127 118 132 174 129 120 171 161
Character r y t h i n g w e o v -v b e r -r -e s e r v e
Milliseconds 64 115 197 91 88 87 69 153 135 59 118 239 121 432 139 201 0 403 417 241 56 304 327 204 172
Character i n t h e w o r l d a n d i -i u n i v e r
Milliseconds 78 59 85 56 102 71 90 313 59 161 21 292 112 189 53 264 222 334 577 259 206 68 154 177 89
Character s e , a n d p o w e r f u l m o d e r n i
Milliseconds 194 54 152 85 131 77 109 87 400 175 90 28 62 215 91 144 129 177 90 216 165 85 89 86 158
Character n s t r u m e n t s h e l p u s s e e m o
Milliseconds 82 99 126 242 120 198 129 83 97 198 149 566 86 125 423 227 287 118 105 422 89 181 65 157 92
Character r e a n d m r o e -m -r -o -e m o r e . I N t
Milliseconds 36 87 71 288 162 38 200 105 160 0 66 696 0 0 0 284 113 81 76 113 120 206 91 92 90
Character h -t -h -I -N - I n t h i s s e c t i o n w e
Milliseconds 103 417 0 160 0 0 776 113 108 160 44 84 96 65 266 84 203 137 111 42 90 112 132 49 125
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 202 63 187 193 69 195 100 172 132 119 125 68 91 58 199 118 175 68 158 156 124 118 69 307 223
Character e r a g e a n d i n s t a n t e -e a n e o u s
Milliseconds 196 87 138 155 136 111 111 86 89 116 175 65 138 201 131 175 194 409 402 106 264 333 311 105 133
Character r a t e s o f c h a n g e , a n d s h o
Milliseconds 90 186 63 173 71 222 91 201 129 72 352 66 89 153 159 198 88 84 95 84 117 111 137 58 70
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 136 65 157 66 104 71 52 126 70 133 41 150 100 83 117 57 220 69 162 68 63 155 172 97 110
Character e l a t e d t o t h e s l p -p o p e o f
Milliseconds 69 175 111 132 91 221 106 131 53 70 122 51 112 37 160 62 206 439 203 181 89 109 113 106 73
Character a c u r v e a t t a -a -t - a p o i n t
Milliseconds 86 110 158 110 66 200 134 110 179 105 92 128 211 22 462 176 0 160 110 202 103 49 43 90 130
Character P a -a o n t h e c u r v e . W e g i v e
Milliseconds 292 243 135 372 223 75 85 89 87 93 58 140 131 46 224 130 175 50 330 135 110 127 90 116 96
Character p r e c i s e d e v e l o p m e n t s o f
Milliseconds 80 199 86 72 225 81 201 44 92 221 178 159 108 41 165 107 269 125 91 112 223 134 115 131 23
Character t h e s e i m p o r t a n t c o n e -e c e p t
Milliseconds 225 87 107 154 23 49 156 85 155 117 39 311 108 112 135 113 221 70 62 93 438 111 151 117 87
Character s i n t h e n e x t h c h -h -c -h c h a p t
Milliseconds 201 61 208 105 22 100 88 103 48 90 85 180 154 85 248 62 53 438 0 0 250 89 106 75 148
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 159 70 129 67 213 53 132 45 219 69 93 63 137 84 90 64 242 49 202 242 111 42 91 160 78
Character i n f o r m a l a p p r o a c - h s o y
Milliseconds 142 107 84 450 138 124 118 147 180 138 223 83 135 197 93 242 225 326 476 201 127 223 61 97 175
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 68 91 63 69 83 138 161 105 105 32 197 45 154 50 83 89 154 63 123 56 91 152 68 93 201
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 110 445 110 128 138 89 65 108 160 138 100 140 42 111 115 89 114 63 131 117 145 93 94 356 144
Character e a o f t h i s c h a p t e r , t h e m
Milliseconds 162 69 178 112 128 69 133 48 68 90 61 355 70 152 86 178 183 40 128 51 156 46 153 0 72
Character -m l i m i t . T h e i d e a o f a l i m
Milliseconds 486 258 88 134 134 116 151 91 202 104 96 27 222 105 194 55 168 138 223 201 223 130 152 99 350
Character i t p l a y s a f o u n d a t i o n s -s a l
Milliseconds 135 65 129 175 167 68 104 174 118 174 114 155 92 43 170 109 111 246 78 42 106 136 579 103 138
Character o -o r o l e t h r o u g h o u t c a l c u l
Milliseconds 111 159 455 139 72 174 72 129 87 115 128 91 67 113 89 219 67 68 132 199 155 112 216 97 156
Character u s .
Milliseconds 199 130 113
WPM Timing
Seconds WPM
2.78 68.95
5.57 81.88
8.35 91.94
11.14 84.04
13.92 78.43
16.71 77.57
19.49 76.34
22.28 78.11
25.06 78.53
27.84 80.16
30.63 80.32
33.41 77.57
36.2 73.59
38.98 72.96
41.77 71.25
44.55 70.3
47.34 70.22
50.12 68.95
52.91 67.82
55.69 69.38
58.47 67.72
61.26 68.37
64.04 67.64
66.83 68.77
69.61 68.44
72.4 68.62
75.18 67.04
77.97 67.57
80.75 68.51
83.53 68.95
86.32 68.4
89.1 69.22
91.89 70.52
94.67 70.86
97.46 70.55
100.24 70.75
103.03 71.28
105.81 72.02
108.59 72.05
111.38 72.08
114.16 72.95
116.95 72.85
119.73 72.86
122.52 73.46
125.3 74.03
128.09 74.2
130.87 74.46
133.65 74.7
136.44 74.32
139.22 74.47