randog (randogg)

Race #39

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Official speed 96.08 wpm (107.91 seconds elapsed during race)
Without ending ping 96.22 wpm (155 ms delay sending score to TypeRacer’s server)
Timerless 96.45 wpm (261 ms elapsed before first character typed; 107.49 seconds elapsed during race)
Timerless minus one 96.34 wpm, ignoring the first character typed
Race Start August 10, 2023 10:21:26pm UTC
Race Finish August 10, 2023 10:23:14pm UTC
Outcome No win (4 of 3)
Accuracy 95.6%
Points 259.40
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 ahcn change in one quantity is related to a change i nanothgn aniother. How does the speed oif aof a falling object change as a function of time? How does the leve of l of water in ab balrrel change a sss aas a function of thr e amount of liquid pioured into it? wWe see change ofccuring ring in nearly everything we observe in the world and universe, and opwpowerful modern instruments help us see more and more. In this section we introduct the the ideas of average and isntatninstantanoueeous rates of chamgnge, and show that they are closely related to the slope of a curve at a POIopnit Ppiont oint P anion thonon the curve. WE e fgigive precise developemntjements of these importasnt concepts i nthen the next chapter, but for now we use an infromainformal approach so wyou will see how they lead naturally thoo the main idea of this chapter, the limit. The idea of a limit plays a founartdational role therourthroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 261 124 61 97 130 149 120 94 83 82 91 32 121 11 81 82 125 50 49 54 29 125 33 84 99
Character e l p s u s u n d e r s t a n d h o w a h
Milliseconds 23 64 31 67 84 105 94 84 124 50 50 105 78 99 54 72 85 49 87 74 81 137 337 139 154
Character c n -n -c -h c h a n g e i n o n e q u a n t
Milliseconds 25 132 271 100 101 436 94 84 45 86 74 29 84 128 25 53 110 69 73 85 372 59 141 106 98
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 108 69 267 101 149 43 109 122 71 89 136 61 24 150 82 100 82 46 71 85 102 79 45 63 75
Character e i n a n o t h g -n -a -n -o -t -h -g - n a n i -i
Milliseconds 51 35 108 25 28 73 64 57 48 28 32 351 0 0 0 0 0 0 612 163 71 49 113 98 227
Character o t h e r . H o w d o e s t h e s p e e d
Milliseconds 141 22 52 103 53 10 101 179 84 65 86 71 89 69 27 36 126 29 124 53 147 64 231 101 50
Character o i f a -a -o -i -f - o f a f a l l i n g o
Milliseconds 85 104 26 22 112 44 356 123 0 0 0 308 89 85 70 84 145 68 66 127 123 49 47 65 127
Character b j e c t c h a n g e a s a f u n c t i o
Milliseconds 93 59 92 56 152 55 121 80 43 113 122 48 84 95 52 86 71 80 102 106 26 78 125 55 5
Character n o f t i m e ? H o w d o e s t h e l
Milliseconds 105 100 78 71 130 99 58 52 18 194 117 249 108 92 105 74 108 90 53 64 72 31 125 31 133
Character e v e o f -o -f - - l o f w a t e r i n
Milliseconds 19 60 70 132 128 68 83 323 0 0 498 141 68 133 43 131 118 192 102 78 75 33 132 26 25
Character a b -b b a l -l r r e l c h a n g e a s s -s
Milliseconds 76 134 295 113 121 67 64 250 61 126 96 89 94 102 53 98 34 76 27 87 71 57 21 110 345
Character -s - -a s a -a - -s a s a f u n c t i o n o f
Milliseconds 77 101 102 107 83 45 258 102 100 130 28 87 67 62 125 82 50 22 135 103 29 24 108 82 44
Character t h r - -r e a m o u n t o f l i q u i d
Milliseconds 84 71 29 126 79 273 101 110 81 71 83 83 49 95 152 85 76 66 62 127 49 142 108 28 191
Character p i -i o u r e d i n t o i t ? w -w W e s
Milliseconds 128 268 93 320 187 48 73 25 134 76 85 49 78 154 349 103 70 163 90 126 305 178 221 105 95
Character e e c h a n g e o f -f c c u r i n g - -g -n -i
Milliseconds 52 104 82 121 33 187 178 71 51 86 151 43 279 15 151 80 98 83 25 79 52 322 101 101 123
Character r i n g i n n e a r l y e v e r y t h i n g
Milliseconds 135 129 25 103 52 107 49 25 111 45 75 7 116 46 79 142 122 124 52 57 128 51 84 49 52
Character w e o b s e r v e i n t h e w o r l d
Milliseconds 83 67 56 63 127 70 122 52 52 156 24 86 81 48 25 54 32 105 82 96 59 48 111 43 85
Character a n d u n i v e r s e , a n d o p w -w -p -o p
Milliseconds 44 86 99 81 172 50 129 167 143 52 125 51 160 69 98 82 49 85 151 5 63 286 100 263 165
Character o w e r f u l m o d e r n i n s t r u m e n t
Milliseconds 25 41 6 56 113 54 154 69 108 28 167 146 29 58 99 57 77 47 109 25 87 51 94 84 146
Character s h e l p u s s e e m o r e a n d m o
Milliseconds 48 432 240 22 12 57 127 75 74 83 68 79 128 54 131 28 44 53 90 163 109 68 85 104 51
Character r e . I n t h i s s e c t i o n w e i n
Milliseconds 44 34 91 45 227 243 98 72 33 108 64 88 68 106 75 152 82 27 77 149 69 31 109 104 49
Character t r o d u c t t h -t -h - -t e t h e i d e a s
Milliseconds 194 26 88 94 105 23 175 52 104 28 419 0 243 101 134 127 99 29 402 104 80 44 27 79 79
Character o f a v e r a g e a n d i s n t a t n -i -s
Milliseconds 87 104 67 60 95 103 124 51 101 129 24 86 117 59 72 87 101 66 10 54 52 133 30 325 0
Character -n -t -a -t -n i n s t a n t a n o u e -e -u -o e o u s
Milliseconds 0 0 0 0 0 213 25 22 57 104 363 95 168 409 80 48 168 279 101 262 203 62 48 73 107
Character r a t e s o f c h a m g -g -m n g e , a n d
Milliseconds 145 47 155 48 99 60 85 67 83 145 80 44 137 74 180 78 280 468 47 63 73 71 86 21 206
Character s h o w t h a t t h e y a r e c l o s e l
Milliseconds 211 106 31 95 56 99 33 98 54 84 72 32 125 54 105 417 55 76 62 191 57 30 73 29 89
Character y r e l a t e d t o t h e s l o p e o f
Milliseconds 93 105 75 25 90 63 61 51 127 82 49 110 47 25 56 99 83 95 60 152 50 119 80 60 67
Character a c u r v e a t a P O I -I -O -P o p n i t
Milliseconds 84 20 89 48 131 23 130 24 86 94 79 106 43 367 225 48 25 306 100 101 141 28 24 4 51
Character -o -p -n -i -t - P -P p i o n t - -t -n -o -i o i n t
Milliseconds 138 414 0 0 0 0 0 290 316 167 46 5 25 56 134 271 100 101 124 100 165 26 26 51 134
Character P a n -n -a i o n t h -t -h o n -n -o -i -o -n - o n
Milliseconds 133 123 70 60 250 493 187 4 26 57 28 29 308 0 169 47 275 101 243 0 0 0 362 48 53
Character t h e c u r v e . W E - -E e f g i -i -g -f g
Milliseconds 30 53 122 56 75 85 47 152 25 114 72 145 75 136 249 101 87 80 72 5 136 177 124 101 112
Character i v e p r e c i s e d e v e l o p e m n t -t -n
Milliseconds 82 70 51 35 157 115 238 172 106 65 32 86 236 27 173 24 63 128 5 211 10 150 24 325 100
Character -m -e j e -e -j m e n t s o f t h e s e i m p o
Milliseconds 101 123 255 44 373 101 486 67 110 72 26 60 109 43 108 72 32 147 72 79 108 127 51 130 49
Character r t a s -s n t c o n c e p t s i n t h e -n -t
Milliseconds 71 56 122 4 421 185 94 57 332 107 48 73 76 92 66 74 87 80 49 4 51 34 128 326 0
Character -h -e - n t h e n e x t c h a p t e r , b u
Milliseconds 0 0 383 137 26 49 57 123 80 127 72 27 57 83 121 196 118 60 146 51 79 108 69 197 102
Character t f o r n o w w e u s e a n i n f r o
Milliseconds 48 84 97 34 47 108 125 30 68 83 377 52 108 264 94 28 87 66 63 77 105 51 50 127 10
Character m a -i -n -f -r -o -m -a i n f o r m a l a p p r o a c
Milliseconds 151 64 310 0 0 0 0 0 0 237 49 78 107 20 134 64 138 70 121 136 124 69 84 86 35
Character h s o w -w y o u w i l l s e e h o w t
Milliseconds 81 78 90 68 70 48 236 114 81 25 49 53 62 130 100 47 49 51 86 266 101 105 64 87 99
Character h e y l e a d n a t u r a l l y t h o -o -h o
Milliseconds 29 100 56 54 127 65 29 54 61 130 88 60 107 46 51 92 101 73 77 122 52 86 244 78 164
Character t h e m a i n i d e a o f t h i s c h
Milliseconds 46 53 52 124 54 131 40 89 29 76 107 67 55 75 37 109 67 84 50 55 61 66 87 93 154
Character a p t e r , t h e l i m i t . T h e i d e
Milliseconds 71 62 98 75 75 320 69 127 51 124 78 270 72 78 50 124 107 68 131 152 46 86 104 43 54
Character a o f a l i m i t p l a y s a f o u n
Milliseconds 48 37 114 94 57 71 57 155 95 54 55 146 29 156 25 45 34 126 56 99 33 102 80 52 50
Character a r t -t -r -a d a t i o n a l r o l e t h e r o
Milliseconds 78 128 28 185 124 77 155 76 79 132 75 24 216 112 96 237 84 147 88 63 99 52 100 5 66
Character u -t -h -e -r -o -u r -r t h r o u g h o u t c a l c u
Milliseconds 24 395 0 0 0 0 0 138 391 89 52 102 107 94 148 379 128 48 124 148 168 119 13 585 104
Character l u s .
Milliseconds 149 146 41 140
WPM Timing
Seconds WPM
2.16 127.88
4.32 133.44
6.47 113.06
8.63 109.81
10.79 107.87
12.95 103.79
15.11 100.88
17.27 104.25
19.42 108.73
21.58 107.87
23.74 105.64
25.9 103.79
28.06 100.51
30.21 101.27
32.37 100.82
34.53 99.04
36.69 97.14
38.85 98.85
41.01 102.42
43.16 101.47
45.32 103.26
47.48 103.87
49.64 105.16
51.8 103.56
53.96 104.31
56.11 102.86
58.27 100.91
60.43 100.08
62.59 100.85
64.75 102.68
66.9 102.77
69.06 99.74
71.22 97.89
73.38 95.83
75.54 95
77.7 95.45
79.85 93.02
82.01 93.65
84.17 93.1
86.33 93.69
88.49 94.25
90.64 93.86
92.8 94.65
94.96 95.28
97.12 96.5
99.28 96.82
101.44 98.19
103.59 97.65
105.75 96.45
107.91 96.08