Raghav619 (debugraghav)

Race #17

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Official speed 63.55 wpm (163.15 seconds elapsed during race)
Without ending ping 63.73 wpm (449 ms delay sending score to TypeRacer’s server)
Timerless 63.89 wpm (421 ms elapsed before first character typed; 162.28 seconds elapsed during race)
Timerless minus one 63.82 wpm, ignoring the first character typed
Race Start October 15, 2023 1:49:44pm UTC
Race Finish October 15, 2023 1:52:27pm UTC
Outcome No win (2 of 5)
Opponents 1. khoanguyendang_1234 (76.75 wpm)
Accuracy 94.8%
Points 171.58
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 toll o tl that help s us understand how a change in one qunatianantityut is realtelate dd to a change in anotehrher. How does the speed of a falling object change as a function of time? How does the leve l of water in a barrel change as a function of the amount of liquid puoured into it? We see change cocuccurring in nearly weeverytinghing we observe int the world and universe, and powerful modern isnstruments help us see more and more. In this secitntion we itntrouducnce the ideas of eaverage and instatenntanueious reates opff change m a,ee, and show that they are colosely relate d to the slop .e e of a curve at a point P on the curve. We given pr p[rrecise develop ments of these improtanortanet concepts in the next chapte, r, but for now we use an ifnformall p appraoach so uyou you will seee how they lead naturally to the main idea of this chapter, the limit. The idea of a limitpl playa s af afoundational rorole throughout calculus.
Timing
Character C a l c u l i -i u s i s a t o l l - -l -l o
Milliseconds 421 132 167 124 109 181 136 352 203 100 109 137 77 507 94 99 124 77 193 142 144 299 130 133 256
Character t -t - l t h a t h e l p - s u s u n d
Milliseconds 187 241 281 124 207 129 153 112 41 491 134 170 68 116 179 160 478 88 85 114 127 113 186 521 116
Character e r s t a n d h o w a c h a n g e i n o
Milliseconds 166 125 400 141 95 136 25 221 383 75 89 98 651 130 84 126 89 98 97 52 86 56 100 79 385
Character n e q u n a t i -i -t -a a n -n -a -n a n t i t y u t
Milliseconds 102 95 95 143 130 195 55 100 134 274 127 135 146 122 286 118 127 98 113 110 378 153 116 0 96
Character -t -u i s r e a l t e -e -t -l -a l a t e d -d - d
Milliseconds 380 121 164 126 93 111 148 46 100 48 173 73 1211 133 134 234 234 88 112 60 141 60 411 123 68
Character t o a c h a n g e i n a n o t e h r -r -h
Milliseconds 80 147 62 105 158 110 108 94 94 82 106 20 84 32 129 65 45 132 97 31 190 9 98 391 117
Character -e h e r . H o w d o e s t h e s p e e d
Milliseconds 131 186 64 59 80 163 256 115 102 144 110 99 129 91 82 125 117 422 136 132 139 114 138 166 111
Character o f a f a l l i n g o b j e c t c h a n g
Milliseconds 396 99 114 98 117 300 124 101 131 159 103 98 127 88 140 156 135 197 116 94 120 122 140 130 75
Character e a s a f u n c t i o n o f t i m e ?
Milliseconds 85 136 89 110 46 606 157 86 220 164 75 112 77 23 131 87 139 45 216 224 77 94 67 282 192
Character H o w d o e s t h e l e v e - l o f w
Milliseconds 322 119 131 99 204 88 127 115 115 87 88 138 139 147 80 89 95 150 520 187 102 164 105 139 100
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 88 94 146 108 43 125 84 109 134 168 165 200 185 215 113 150 182 107 131 91 105 100 22 167 231
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 154 253 171 122 103 154 190 105 118 47 37 162 62 147 115 72 194 59 81 136 98 98 69 165 568
Character t o f l i q u i d p u -u o u r e d i n t o
Milliseconds 75 180 105 133 156 47 114 157 168 141 131 112 84 336 458 195 100 137 100 205 88 141 179 29 405
Character i t ? W e s e e c h a n g e c -c o c u c
Milliseconds 272 182 106 209 230 307 145 276 124 105 130 95 114 110 56 194 398 46 127 140 368 221 109 48 255
Character -c -u c u r r i n g i n n e a r l y w e -e -w e
Milliseconds 374 131 161 153 353 179 48 102 85 126 356 112 50 190 79 98 81 61 138 86 119 69 316 132 93
Character v e r y t i n g -g -n -i h i n g w e o b s e r v
Milliseconds 140 106 122 99 230 137 125 92 312 115 147 260 66 161 120 135 136 85 47 282 125 389 123 87 247
Character e i n t -t t h e w o r l d a n d u n i v
Milliseconds 55 116 93 171 0 540 157 117 86 104 89 107 93 66 113 68 185 95 97 119 68 128 179 177 136
Character e r s e , a n d p o w e r f u l m o d e r n
Milliseconds 184 95 151 103 86 75 128 90 111 91 196 172 188 122 99 257 105 160 130 138 44 115 172 84 57
Character i s -s n s t r u m e n t s h e l p u s s e
Milliseconds 133 123 372 341 191 101 201 183 112 196 87 86 99 118 94 141 91 121 163 131 103 155 160 157 74
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 156 105 114 65 57 37 120 78 101 445 113 147 113 67 59 146 140 252 159 305 127 97 43 104 96
Character s e c i t n -n -t -i t i o n w e i t -t n t r o u
Milliseconds 231 101 195 145 15 219 310 121 124 153 121 96 133 124 151 64 86 204 145 472 230 88 177 108 145
Character -u d u c n -n c -c e t h e i d e a s o f e -e
Milliseconds 518 273 116 85 146 606 106 365 120 213 114 86 99 99 72 125 186 60 165 102 56 178 121 134 392
Character a v e r a g e a n d i n s t a t e n -n -e -t n t
Milliseconds 118 147 132 162 147 96 68 85 122 49 124 137 208 100 160 120 87 100 74 65 371 127 126 200 9
Character a n u -u e i -i o u s r e -e a t e s o p f -f -p f
Milliseconds 466 146 268 394 94 153 616 222 116 133 121 387 113 386 129 121 72 212 87 85 37 366 218 138 95
Character c h a n g e - m a -a - -m -e , e -e -, e , a n
Milliseconds 77 240 141 177 341 69 69 134 385 240 64 226 264 173 141 114 276 454 451 130 61 211 114 149 103
Character d s h o w t h a t t h e y a r e c o -o l
Milliseconds 94 102 129 79 51 90 95 84 150 17 85 129 128 98 62 105 93 237 289 28 237 66 141 355 202
Character o s e l y r e l a t e - d t o t h e s l
Milliseconds 158 94 89 103 162 128 159 78 109 150 60 101 95 542 93 99 125 42 452 116 90 109 83 238 64
Character o p . - e - -e -. e o f a c u r v e a t
Milliseconds 208 140 167 43 368 97 103 326 135 150 188 72 210 108 104 98 108 105 133 130 223 39 95 165 145
Character a p o i n t P o n t h e c u r v e .
Milliseconds 127 161 96 316 175 72 123 76 327 278 198 234 80 164 352 105 103 84 175 147 82 238 39 122 106
Character W e g i v e n p r -r -p - -n p [ r -r -[ r e c i
Milliseconds 633 308 124 120 120 104 85 96 110 122 63 255 126 133 118 171 212 0 89 439 134 222 134 203 96
Character s e d e v e l o p - m e n t s o f t h e s
Milliseconds 146 75 74 437 190 120 98 0 168 104 126 453 220 91 101 133 139 207 125 98 100 128 131 43 194
Character e i m p r o t a n -n -a -t -o -r o r t a n e -e t c
Milliseconds 96 74 260 139 160 128 94 138 104 94 878 132 155 91 500 324 113 233 89 105 126 515 96 80 139
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 67 52 317 240 132 136 88 86 71 98 139 0 571 28 631 251 50 204 136 109 84 108 113 121 122
Character e , - -, r , b u t f o r n o w w e u s
Milliseconds 87 212 176 429 119 413 114 159 269 110 120 128 139 66 81 75 122 60 88 101 220 68 120 110 93
Character e a n i f -f n f o r m a l l p -p - -l a p p
Milliseconds 75 92 109 73 154 115 131 589 206 95 84 96 83 114 82 240 0 284 272 117 113 161 95 80 390
Character r a -a o a c h s o u y o u - -u -o -y -u y o u
Milliseconds 191 137 555 209 85 125 110 106 141 90 161 236 0 60 122 39 433 156 132 149 84 255 77 110 141
Character w i l l s e e e - -e h o w t h e y l e a
Milliseconds 125 86 159 121 69 70 82 335 168 105 396 136 390 195 68 64 110 282 81 102 59 77 125 60 118
Character d n a t u r a l l y t o t h e m a i n i
Milliseconds 152 96 69 109 72 153 153 151 116 116 148 81 496 462 176 132 79 196 137 199 97 100 70 107 208
Character d e a o f t h i s c h a p t e r , t h e
Milliseconds 105 166 85 114 107 208 51 145 91 41 97 143 102 112 109 109 102 146 101 71 63 136 100 77 103
Character l i m i t . T h e i d e a o f a l i m i
Milliseconds 99 104 172 102 89 151 109 342 157 71 130 85 75 201 114 110 80 489 90 75 109 181 70 179 85
Character t p l -l -p p l a y a - -a s a f - -f a -a f
Milliseconds 95 166 197 298 137 121 199 187 53 140 236 173 318 138 82 70 274 107 124 403 114 167 6 826 104
Character o u n d a t i o n a l r o -o -r r o l e t h r o
Milliseconds 122 106 231 91 155 36 76 47 99 176 177 108 126 204 366 122 924 87 167 78 105 637 87 133 41
Character u g h o u t c a l c u l u s .
Milliseconds 71 118 108 263 22 141 61 141 110 39 190 79 157 318 123 91
WPM Timing
Seconds WPM
3.26 58.84
6.53 42.29
9.79 47.81
13.05 55.16
16.31 52.22
19.58 47.81
22.84 53.06
26.1 54.71
29.37 58.03
32.63 61.05
35.89 63.52
39.16 64.67
42.42 66.2
45.68 68.04
48.94 67.42
52.21 67.12
55.47 66.63
58.73 65.58
62 66
65.26 67.67
68.52 67.77
71.78 69.04
75.05 68.92
78.31 68.04
81.57 67.82
84.84 67.75
88.1 66.47
91.36 65.67
94.63 63.66
97.89 64.85
101.15 64.77
104.41 64.24
107.68 64.75
110.94 64.79
114.2 64.2
117.47 64.36
120.73 63.22
123.99 63.49
127.25 63.18
130.52 63.81
133.78 63.33
137.04 62.7
140.31 62.43
143.57 63.02
146.83 63.66
150.1 64.52
153.36 64.32
156.62 63.52
159.88 63.35
163.15 63.55