Belal (shblanga)

Race #2522

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Official speed 70.57 wpm (146.92 seconds elapsed during race)
Without ending ping 70.72 wpm (310 ms delay sending score to TypeRacer’s server)
Timerless 70.88 wpm (330 ms elapsed before first character typed; 146.28 seconds elapsed during race)
Timerless minus one 70.80 wpm, ignoring the first character typed
Race Start October 17, 2023 6:17:05pm UTC
Race Finish October 17, 2023 6:19:32pm UTC
Outcome No win (4 of 4)
Opponents 1. jamietyper90 (94.79 wpm)
2. hjmrose (89.03 wpm)
3. szyma (71.04 wpm)
Accuracy 94.6%
Points 190.55
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 Calculius is a too l that helps us inunderstand how a achange in one quanititiy is related to a change in another. How does the speedo f of fallinga falling object change ias a function of tumetime? How does thae lever ll of water in a barrel changer as a fuccnction of the amount of liquiedd pouired tiinto tiit"? We see schange cooocccuriring in enearly everything we boobserve in the world and universe, and powreerful modern instruments help us se e more and more. In thies ssection we intorroduce the eideas of average and instnaantaneous rates of achange, and showtha that ehthey are closely related to the slpopre of a curve at a point P aon the curvve. AWe give precise odevelopepments of these important conceptw s in the next xhchapertter, but for now we use ian infomrmal appriaoach so yo u wullwill see how they lead naturally to them main idea of this dchapeteter, the limit. The idea of a limit plays a foundationsal role thorroughout calculus.
Timing
Character C a l c u l i -i u s i s a t o o - l t h
Milliseconds 330 235 254 108 372 150 114 348 185 47 396 105 33 82 129 114 202 52 134 127 316 175 115 84 73
Character a t h e l p s u s i n -i -n u n d e r s t a n
Milliseconds 13 81 67 156 67 222 185 123 108 221 49 91 172 84 334 0 182 137 77 169 53 174 190 184 34
Character d h o w a a -a c h a n g e i n o n e q
Milliseconds 244 116 74 58 28 94 122 118 258 225 64 93 115 83 106 177 77 117 67 60 117 124 74 74 345
Character u a n i -i t i t i -i y i s r e l a t e d t o
Milliseconds 201 440 70 213 299 120 53 111 233 377 140 67 131 28 101 196 56 131 103 86 73 184 60 143 53
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 61 87 132 230 113 91 86 78 77 83 165 78 60 124 55 86 90 110 73 52 115 133 249 143 48
Character d o e s t h e s p e e d o f -f - -o o f
Milliseconds 80 202 3 241 183 92 136 62 85 103 163 86 117 129 178 93 2 224 177 123 157 96 133 49 71
Character f a l l i n g -f -a -l -l -i -n -g a f a l l i n g o
Milliseconds 192 70 92 154 69 58 38 254 0 0 0 0 0 0 435 93 153 367 82 229 103 68 36 65 276
Character b j e c t c h a n g e i -i a s a f u n c t
Milliseconds 180 363 114 159 172 57 258 94 100 88 108 33 147 201 199 51 54 79 136 107 227 175 191 111 184
Character i o n o f t u m e -e -t -u -m t i m e ? H o w
Milliseconds 70 51 134 23 140 21 109 144 65 205 24 229 114 0 0 417 74 105 68 198 197 221 250 65 77
Character d o e s t h a -a e l e v e r l -l - -r l o f
Milliseconds 199 68 78 92 98 150 62 51 299 52 74 149 44 161 69 134 75 42 215 115 153 240 88 151 9
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 226 236 86 121 68 115 58 106 60 32 110 109 125 108 114 161 130 141 79 246 102 68 120 22 67
Character r - -r a s a f u c -c c -c n c t i o n o f
Milliseconds 4 105 362 138 99 105 117 80 146 100 250 95 139 314 262 349 195 22 183 78 54 109 72 135 108
Character t h e a m o u n t o f l i q u i e d -d -e d
Milliseconds 92 179 53 57 76 131 69 29 160 207 222 83 155 110 127 117 129 257 90 60 205 230 264 167 207
Character p o u i -i r e d t i -t -i i n t o t i -i -t i t
Milliseconds 122 148 188 271 3 304 241 68 153 92 172 60 247 0 179 44 68 86 95 125 63 292 115 275 133
Character " -" ? W e s e e s -s c h a n g e c o -o -c o
Milliseconds 157 372 307 152 189 256 50 181 181 164 82 150 192 93 94 98 72 147 244 90 349 85 254 131 203
Character o c -c -o c c u r i -i r i n g i n e -e n e a r l
Milliseconds 115 110 371 127 165 163 132 93 117 281 122 63 58 53 96 138 39 120 244 209 159 36 88 38 150
Character y e v e r y t h i n g w e b o -b -o o b s e r
Milliseconds 129 81 443 168 157 75 150 69 309 70 124 65 133 115 180 58 278 114 367 0 401 92 383 113 42
Character v e i n t h e w o r l d a n d u n i v e
Milliseconds 249 64 109 91 43 60 160 75 17 207 336 105 93 119 82 103 216 49 92 89 106 132 110 270 153
Character r s e , a n d p o w r e -e -r e r f u l m o d
Milliseconds 57 222 155 141 85 86 71 61 84 182 139 196 165 25 437 118 21 63 167 97 345 121 138 82 211
Character e r n i n s t r u m e n t s h e l p u s s
Milliseconds 123 56 71 243 119 232 126 126 195 113 270 229 73 85 125 78 215 90 151 219 70 184 64 74 471
Character e - e m o r e a n d m o r e . I n t h
Milliseconds 152 236 315 99 89 112 68 25 45 85 131 68 95 80 116 56 78 60 463 86 213 220 64 166 32
Character i e -e s s -s s e c t i o n w e i n t o r -r -o
Milliseconds 69 29 272 120 68 259 240 386 160 181 179 97 3 132 38 143 150 67 181 36 496 251 106 210 113
Character r o d u c e t h e e -e i d e a s o f a v e
Milliseconds 119 115 101 131 122 170 65 240 77 60 87 135 245 206 6 204 62 342 107 174 46 129 203 166 79
Character r a g e a n d i n s t n a -a -n a n t a n e o u
Milliseconds 114 121 168 213 93 174 61 105 70 105 53 122 214 165 109 323 138 111 91 110 388 190 423 194 52
Character s r a t e s o f a -a c h a n g e , a n d
Milliseconds 131 138 205 88 139 42 191 98 444 81 114 172 210 114 98 79 101 47 60 181 69 258 122 164 71
Character s h o w t h a -a -h -t t h a t e h -h -e t h e y
Milliseconds 390 65 69 69 286 90 15 244 124 142 139 112 88 115 58 87 246 77 203 112 150 83 67 135 105
Character a r e c l o s e l y r e l a t e d t o t h
Milliseconds 115 86 43 89 419 102 147 39 158 112 183 92 200 69 129 200 71 82 175 67 163 85 25 134 49
Character e s l p -p o p r -r e o f a c u r v e a t
Milliseconds 36 79 184 121 191 397 184 45 50 410 81 71 251 75 67 94 132 197 133 61 209 78 124 173 141
Character a p o i n t P a -a o n t h e c u r v v
Milliseconds 126 61 164 141 32 243 83 94 185 297 155 147 464 187 51 61 150 76 50 87 214 128 79 202 125
Character -v e . A -A W e g i v e p r e c i s e o -o d
Milliseconds 320 64 196 135 363 272 292 204 146 211 86 150 83 95 243 187 33 252 166 72 141 92 179 275 69
Character e v e l o p -p e -e p m e n t s o f t h e s e
Milliseconds 181 177 65 110 206 61 502 373 364 193 195 421 216 90 457 70 99 66 89 136 49 17 375 159 67
Character i m p o r t a n t c o n c e p t w - -w s i n
Milliseconds 231 132 54 172 135 184 82 77 238 114 248 54 72 347 158 73 83 107 129 305 135 96 74 58 55
Character t h e n e x t x h -h -x c h a p e r -r t -t -e t
Milliseconds 265 126 81 81 119 136 94 220 230 92 359 97 205 107 156 69 183 264 118 52 330 200 211 117 79
Character e r , b u t f o r n o w w e u s e i -i
Milliseconds 85 84 96 117 356 79 111 71 174 89 102 51 140 45 93 66 217 185 46 197 73 135 80 69 216
Character a n i n f o m -m r m a l a p p r i -i a -a o a c
Milliseconds 212 83 93 56 110 279 161 217 230 108 65 111 78 95 229 145 175 112 110 355 126 272 185 44 185
Character h s o y o - u w u l l -l -l -w -u w i l l s
Milliseconds 320 98 399 155 67 199 57 174 230 185 91 176 122 150 163 220 131 298 0 199 102 137 172 23 429
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 167 155 84 120 49 55 72 173 220 109 158 114 180 30 61 202 90 225 82 114 141 72 111 112 164
Character y t o t h e m -m m a i n i d e a o f t
Milliseconds 54 80 187 73 88 176 82 21 496 226 82 105 82 93 61 64 355 120 179 68 134 303 66 105 123
Character h i s d -d c h a p e t e -e -t -e t e r , t h e
Milliseconds 44 63 52 76 168 251 108 93 110 31 198 52 113 251 124 144 115 88 90 83 100 138 78 59 89
Character l i m i t . T h e i d e a o f a l i m i
Milliseconds 168 23 454 165 195 387 194 169 165 105 66 214 118 171 55 123 174 47 95 132 98 168 34 226 165
Character t p l a y s a f o u n d a t i o n s -s a l
Milliseconds 125 56 252 175 133 166 138 46 161 93 312 90 29 161 40 136 110 112 14 164 87 274 98 112 73
Character r o l e t h o r -r -o r o u g h o u t c a l c u
Milliseconds 199 63 199 131 60 140 46 64 57 320 116 128 61 36 116 96 355 52 84 116 331 167 141 90 147
Character l u s .
Milliseconds 117 99 168 121
WPM Timing
Seconds WPM
2.94 53.09
5.88 67.38
8.82 68.07
11.75 69.43
14.69 73.51
17.63 79.64
20.57 75.84
23.51 74.02
26.45 75.78
29.38 74.33
32.32 73.88
35.26 75.89
38.2 74.45
41.14 75.84
44.08 73.24
47.01 71.72
49.95 70.39
52.89 69.88
55.83 70.07
58.77 70.04
61.71 71.37
64.64 71.1
67.58 71.2
70.52 71.81
73.46 71.71
76.4 71.15
79.34 71.7
82.27 71.03
85.21 71.26
88.15 70.65
91.09 71.4
94.03 71.47
96.97 71.9
99.9 71.47
102.84 71.29
105.78 70.22
108.72 70.31
111.66 70.29
114.6 69.95
117.53 70.04
120.47 70.12
123.41 69.62
126.35 68.86
129.29 69.43
132.23 69.7
135.16 69.6
138.1 69.77
141.04 70.28
143.98 70.51
146.92 70.57