I forgor 💀 (kernel32_dll)

Race #861

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Official speed 74.52 wpm (139.13 seconds elapsed during race)
Without ending ping 74.70 wpm (335 ms delay sending score to TypeRacer’s server)
Timerless 75.27 wpm (1,055 ms elapsed before first character typed; 137.74 seconds elapsed during race)
Timerless minus one 75.19 wpm, ignoring the first character typed
Race Start September 19, 2023 6:58:54pm UTC
Race Finish September 19, 2023 7:01:13pm UTC
Outcome No win (3 of 4)
Opponents 1. mahomes_pat (90.97 wpm)
Accuracy 95.9%
Points 201.20
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 Calcuslulusi s a is a tool that helupps us understand how ca ca change in one quantity is related to a change in another. How does the speed of a lafalling object change as a fucntnction of time? How does the level of water in a barrel change as a functino ofon of the amound of t of loiquid poured into it? Wee see change occuriring in nearly everyhingthing we observe in the world and universe, and powerful mofdern instruments hoeelp us see more naand more. Int h this seciction we introduce the ideas of average and instatntaneious rates of change, and whoshow taht hat they are closely related to the slope of a cuve rve at a point P on the cuvrceve. We give precise developments of these important comnceppts in the next chapter, but for now e uew we use an informal approaarchach seo you will see thhow they lead naturally tho tehe main idea of this chapter, the limit. The iedea oa f a limit plays a fuoundational role throughout calculus.
Timing
Character C a l c u s l u -u -l -s l u s i s a - -a - -s -
Milliseconds 1055 204 94 108 108 110 93 123 279 138 109 234 108 110 123 16 140 46 125 77 201 124 108 125 108
Character -i i s a t o o l t h a t h e l u p -p -u p
Milliseconds 108 155 138 94 77 92 77 93 109 111 154 77 123 109 79 29 341 155 93 109 232 109 249 109 216
Character s u s u n d e r s t a n d h o w c a c -c
Milliseconds 78 78 61 96 91 247 157 106 155 63 108 111 61 144 75 93 62 79 92 78 171 32 108 138 202
Character - -a -c a c h a n g e i n o n e q u a n t i
Milliseconds 139 116 117 123 77 139 126 93 108 79 95 64 89 78 93 108 140 200 77 387 78 140 358 247 155
Character t y i s r e l a t e d t o a c h a n g e
Milliseconds 93 78 46 111 91 62 109 77 202 265 125 77 186 77 157 32 306 139 78 136 110 78 123 76 63
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 63 78 93 109 169 79 108 81 122 92 31 78 124 172 201 141 109 155 139 78 92 33 200 78 93
Character s p e e d o f a l a -a -l f a l l i n g o
Milliseconds 61 123 47 139 156 156 47 110 107 94 108 64 121 124 201 124 108 31 95 124 142 77 63 48 76
Character b j e c t c h a n g e a s a f u c n t -t -n
Milliseconds 110 170 93 172 136 78 154 108 95 92 49 105 31 141 95 93 123 62 326 120 108 187 45 278 139
Character -c n c t i o n o f t i m e ? H o w d o e s
Milliseconds 125 217 93 124 48 94 76 93 108 125 30 172 93 62 77 280 108 188 419 187 108 171 80 95 76
Character t h e l e v e l o f w a t e r i n a
Milliseconds 46 138 62 108 46 94 94 62 92 140 15 562 136 62 174 107 107 125 60 66 120 125 95 108 77
Character b a r r e l c h a n g e a s a f u n c t i
Milliseconds 141 108 140 142 92 125 64 122 111 29 157 44 109 32 140 124 77 109 93 140 123 141 64 137 64
Character n o o f -f -o - -o -n o n o f t h e a m o u n
Milliseconds 123 0 77 155 93 341 122 108 124 109 311 123 157 138 110 77 139 62 123 32 357 141 109 80 167
Character d o f - -f -o - -d t o f l o -o i q u i d p
Milliseconds 81 59 80 105 62 279 124 124 110 123 185 109 323 108 77 61 203 528 218 111 122 109 264 77 156
Character o u r e d i n t o i t ? W e e -e s e e c
Milliseconds 124 216 140 64 215 47 125 63 109 93 107 157 110 252 170 170 251 171 296 139 109 108 123 202 297
Character h a n g e o c c u r i -i r i n g i n n e a r
Milliseconds 108 77 126 47 76 61 155 77 158 107 185 76 527 141 76 110 62 63 110 76 92 205 120 249 95
Character l y e v e r y h i n g -g -n -i -h t h i n g w e
Milliseconds 216 79 61 123 94 107 109 110 92 78 127 90 250 263 108 94 261 94 95 122 63 30 357 92 155
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 202 201 173 75 327 186 60 94 77 94 109 231 97 75 62 280 108 93 92 93 77 94 95 90 63
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 123 402 138 78 140 62 124 62 171 77 93 92 94 61 98 72 203 31 66 200 60 125 123 355 109
Character f -f d e r n i n s t r u m e n t s h o e -e -o e
Milliseconds 296 263 110 156 46 93 92 124 79 60 92 233 156 172 93 109 61 112 46 94 105 61 346 373 140
Character l p u s s e e m o r e n a -a -n a n d m o
Milliseconds 107 140 154 110 125 79 295 203 140 78 95 58 62 77 47 172 30 418 138 202 93 108 60 63 78
Character r e . I n t h -h - -t t h i s s e c i -i c -c
Milliseconds 62 63 245 78 185 202 201 95 201 217 128 105 123 140 32 124 90 217 125 124 201 108 468 326 331
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 121 108 94 47 63 156 76 123 154 78 62 170 94 107 109 109 154 78 108 94 76 77 95 153 436
Character a s o f a v e r a g e a n d i n s t a t -t
Milliseconds 185 126 153 172 77 61 140 124 123 80 124 95 104 63 279 92 78 62 108 108 32 94 79 199 373
Character n t a n e i -i o u s r a t e s o f c h a n g
Milliseconds 232 93 139 265 311 217 327 231 108 63 92 328 90 174 91 156 108 79 124 91 152 466 156 109 78
Character e , a n d w h o -o -h -w s h o w t a h t - -t
Milliseconds 78 248 94 108 110 126 75 169 32 80 401 125 109 154 109 93 17 92 111 170 13 186 93 218 109
Character -h -a h a t t h e y a r e c l o s e l y r e
Milliseconds 123 436 218 92 62 78 156 124 126 140 62 155 93 93 61 170 108 171 77 62 156 78 77 124 46
Character l a t e d t o t h e s l o p e o f a c
Milliseconds 187 109 356 122 201 107 155 30 140 155 124 79 63 139 62 297 204 137 91 94 108 78 77 62 109
Character u v e - -e -v r v e a t a p o i n t P o
Milliseconds 204 120 123 93 309 138 108 607 186 139 91 188 205 94 138 62 187 95 153 139 94 75 155 155 187
Character n t h e c u v -v r c e -e -c v e . W e g i v
Milliseconds 108 79 139 78 76 110 124 202 140 418 126 184 201 280 124 108 78 63 139 279 202 109 327 61 110
Character e p r e c i s e d e v e l o p m e n t s o f
Milliseconds 111 75 62 108 78 202 92 80 78 108 357 187 124 108 112 199 171 185 125 139 93 125 46 108 109
Character t h e s e i m p o r t a n t c o m -m n c e p
Milliseconds 108 109 77 124 108 109 62 124 141 110 140 202 279 93 154 125 77 171 186 171 313 230 63 170 93
Character p -p t s i n t h e n e x t c h a p t e r ,
Milliseconds 156 432 140 92 110 30 93 93 95 122 77 61 93 79 167 61 77 153 94 107 94 170 110 125 61
Character b u t f o r n o w e u -u - -e e w - -w -e
Milliseconds 123 142 76 110 77 139 93 107 81 94 75 110 45 156 93 249 219 123 219 215 32 77 268 138 125
Character w e u s e a n i n f o r m a l a p p r o a
Milliseconds 201 15 96 152 123 48 229 189 108 138 108 108 250 91 125 63 123 156 95 111 106 127 107 109 219
Character -a a r -r -a c h -h -c a c h s e -e o y o u w i l
Milliseconds 281 727 124 310 155 122 142 264 126 156 340 124 78 188 231 234 202 91 92 62 76 48 170 94 154
Character l s e e t h -h -t h o w t h e y l e a d n
Milliseconds 125 77 125 64 138 109 278 93 218 108 203 63 61 79 123 110 77 109 15 109 107 77 140 50 292
Character a t u r a l l y t h -h o t e -e h e m a i n
Milliseconds 112 540 78 233 92 109 155 107 141 360 93 280 246 95 92 188 293 217 77 62 95 124 78 78 78
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 156 137 172 62 95 107 78 79 139 61 64 171 46 155 218 97 153 123 326 66 137 96 249 107 110
Character l i m i t . T h e i e -e d e a o a - -a f
Milliseconds 47 64 120 109 576 203 95 137 418 248 31 95 108 92 326 95 154 79 91 63 311 93 372 140 106
Character a l i m i t p l a y s a f u -u o u n d a
Milliseconds 32 77 108 79 95 169 108 94 62 109 140 124 154 78 91 248 79 231 77 561 234 651 202 154 171
Character t i o n a l r o l e t h r o u g h o u t c a
Milliseconds 138 78 93 125 170 92 110 77 92 157 63 61 142 90 109 93 109 172 281 136 95 110 80 185 126
Character l c u l u s .
Milliseconds 60 296 139 155 125 125 79
WPM Timing
Seconds WPM
2.78 30.19
5.57 43.13
8.35 51.75
11.13 59.3
13.91 65.55
16.7 71.16
19.48 76.39
22.26 78.7
25.04 77.63
27.83 78.92
30.61 81.55
33.39 84.45
36.17 81.27
38.96 78.86
41.74 78.2
44.52 77.09
47.3 77.88
50.09 76.67
52.87 77.17
55.65 78.27
58.43 78.65
61.22 78.21
64 78.38
66.78 77.45
69.57 76.76
72.35 77.46
75.13 77.31
77.91 76.7
80.7 76.58
83.48 75.76
86.26 76.37
89.04 76.01
91.83 75.93
94.61 75.34
97.39 75.53
100.17 76.31
102.96 75.64
105.74 76.6
108.52 75.75
111.3 76.12
114.09 74.57
116.87 74.65
119.65 74.72
122.43 74.19
125.22 74.85
128 74.81
130.78 74.32
133.57 74.3
136.35 74.46
139.13 74.52