dubs (wxlx)

Race #51

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Official speed 107.65 wpm (96.31 seconds elapsed during race)
Without ending ping 107.75 wpm (88 ms delay sending score to TypeRacer’s server)
Timerless 108.07 wpm (288 ms elapsed before first character typed; 95.94 seconds elapsed during race)
Timerless minus one 107.95 wpm, ignoring the first character typed
Race Start January 15, 2024 4:15:58am UTC
Race Finish January 15, 2024 4:17:35am UTC
Outcome No win (3 of 5)
Opponents 1. pavlova_conditioning (132.16 wpm)
2. apackwolf (131.15 wpm)
Accuracy 97.6%
Points 290.66
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 uns understand how a change in one quantity is related to a change in another. How does the spee ds of a of a falling object change as a function of time/ ? How does the level of water in a barrel change as a functino on of the amount of liquit d poured into it/ W? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more an dmod more. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are clsoelyclosely realterelated to the slope of a cruveurve 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 ifnformal approach so you will see how tehy they lead naturally to thee ma main idea of this chapter, the limit. The idea of a limitp la plays a foundational role througouhout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 288 176 52 140 113 77 119 117 33 89 104 61 112 75 193 71 150 160 39 67 77 80 43 39 59
Character e l p s u n -n s u n d e r s t a n d h o w
Milliseconds 141 109 55 120 20 125 178 281 76 80 102 179 53 143 51 111 81 84 90 115 83 51 68 48 72
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 85 64 152 283 109 73 81 65 43 66 94 293 88 82 79 54 167 65 164 74 158 50 147 98 88
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 235 123 28 151 62 83 84 58 55 152 32 103 41 67 85 76 117 92 89 140 37 83 92 78 56
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 74 101 79 53 72 88 62 34 59 47 157 197 86 99 193 116 54 75 51 99 48 97 65 123 87
Character e e - d s o f a -a -o -f - - -s o f a f a
Milliseconds 112 137 160 405 86 18 61 52 74 64 98 267 130 0 0 137 211 249 79 89 63 86 61 108 77
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 84 137 35 44 96 59 148 149 163 73 47 153 52 186 77 89 67 37 77 109 327 60 86 86 90
Character f u n c t i o n o f t i m e / - -/ ? H o w
Milliseconds 75 78 150 75 136 117 23 24 365 55 83 61 119 59 68 45 112 181 341 130 193 72 211 288 188
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 81 156 60 73 70 38 86 63 82 81 98 103 108 43 78 40 118 72 66 55 102 41 153 38 41
Character i n a b a r r e l c h a n g e a s a f
Milliseconds 54 70 47 47 120 67 128 67 172 45 129 66 122 62 95 80 37 62 112 237 89 86 86 67 111
Character u n c t i n o - -o -n o n o f t h e a m o u
Milliseconds 74 153 56 160 68 34 0 132 332 132 118 169 48 81 100 120 57 105 58 77 74 132 79 59 195
Character n t o f l i q u i t - -t d p o u r e d i
Milliseconds 171 97 61 54 141 42 212 87 257 32 70 145 252 264 110 127 85 55 64 80 67 178 153 38 56
Character n t o i t / W -W - -/ ? W e s e e c h a n
Milliseconds 64 81 79 59 121 114 120 92 133 236 127 140 211 82 44 192 73 95 44 116 54 129 47 95 82
Character g e o c c u r r i n g i n n e a r l y e v
Milliseconds 25 49 84 152 115 127 191 106 178 85 70 106 52 50 85 58 372 92 29 43 40 81 53 108 117
Character e r y t h i n g w e o b s e r v e i n t h
Milliseconds 121 30 38 144 79 64 96 0 104 107 53 92 79 145 254 30 93 178 48 128 55 77 41 94 111
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 33 100 99 76 82 106 97 46 92 55 95 31 156 151 61 61 138 42 101 96 109 152 171 46 105
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 56 257 83 77 31 34 181 49 96 61 162 52 73 140 82 107 71 152 65 54 49 130 101 156 57
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 103 59 74 76 61 121 70 84 89 92 91 89 140 49 140 46 99 60 66 45 34 102 58 106 0
Character m o -o -m -d - d m o r e . I n t h i s s e c
Milliseconds 175 36 307 142 148 114 102 60 61 36 78 30 94 45 121 208 79 177 55 43 95 79 156 41 138
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 192 28 51 62 55 86 54 69 280 77 75 148 74 101 59 94 135 0 479 80 57 65 128 29 174
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 87 24 149 60 248 84 236 63 151 29 114 46 81 87 71 61 75 60 63 89 31 62 270 136 140
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 193 101 268 84 76 94 91 64 107 45 83 64 71 43 83 75 291 71 81 83 53 72 86 56 95
Character n d s h o w t h a t t h e y a r e c l s
Milliseconds 63 81 97 105 73 51 72 96 78 62 68 44 37 100 28 76 92 27 65 48 48 83 128 87 142
Character o e l y -c -l -s -o -e -l -y c l o s e l y r e a l t e
Milliseconds 19 26 128 94 247 0 0 0 0 0 0 296 53 131 53 25 87 72 44 76 68 54 46 119 36
Character -r -e -a -l -t -e r e l a t e d t o t h e s l o p
Milliseconds 353 0 0 0 0 0 503 55 117 71 49 62 176 25 373 65 62 74 73 28 107 79 78 186 80
Character e o f a c r u v e -e -v -u -r u r v e a t a
Milliseconds 81 76 90 0 132 0 133 39 267 79 158 64 251 125 133 129 145 45 155 33 83 86 64 63 82
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 73 79 61 80 37 40 125 174 183 74 66 63 34 96 59 66 132 127 66 171 50 80 53 130 406
Character g i v e p r e c i s e d e v e l o p m e n t
Milliseconds 100 123 149 59 29 74 109 119 74 144 138 112 49 90 163 203 50 139 148 188 81 138 81 89 117
Character s o f t h e s e i m p o r t a n t c o n c
Milliseconds 80 116 71 352 63 124 57 41 121 46 68 85 104 18 91 100 148 75 80 70 117 136 51 55 90
Character e p t s i n t h e n e x t c h a p t e r ,
Milliseconds 54 82 92 96 33 345 31 90 0 135 64 76 125 87 37 64 105 203 69 76 115 14 225 23 97
Character b u t f o r n o w w e u s e a n i f
Milliseconds 55 137 45 111 39 149 67 73 56 49 51 69 72 122 0 161 173 87 36 80 85 61 74 70 115
Character -f n f o r m a l a p p r o a c h s o y o u
Milliseconds 451 147 50 108 104 60 117 69 35 105 67 131 60 560 116 59 110 81 68 61 86 77 39 96 43
Character w i l l s e e h o w t e h y -t -e -h -y - t h
Milliseconds 117 58 288 210 147 97 60 130 44 28 78 59 113 355 159 0 173 59 397 0 0 0 0 262 76
Character e y l e a d n a t u r a l l y t o t h e e
Milliseconds 54 66 41 91 36 92 99 26 43 129 68 92 103 63 51 135 30 94 61 48 87 74 70 26 117
Character m a -a -m - -e m a i n i d e a o f t h i s
Milliseconds 24 104 89 267 130 144 390 104 104 121 78 66 51 119 87 147 21 100 62 105 59 104 41 60 69
Character c h a p t e r , t h e l i m i t . T h e
Milliseconds 56 142 119 171 181 76 107 76 0 55 93 45 90 67 200 84 59 91 58 169 86 257 142 89 64
Character i d e a o f a l i m i t p l a -a -l - -p p
Milliseconds 97 79 125 53 66 74 71 79 59 83 179 86 74 94 67 90 33 74 104 280 115 145 165 127 163
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 25 272 97 90 63 72 68 80 68 63 161 26 85 52 25 47 47 95 106 45 108 60 152 83 49
Character t h r o u g o u -u -o h o u t c a l c u l u s .
Milliseconds 115 114 76 72 83 76 156 96 392 109 356 140 58 89 65 428 57 82 91 357 68 84 117 79
WPM Timing
Seconds WPM
1.93 99.68
3.85 105.91
5.78 110.06
7.7 112.14
9.63 114.63
11.56 118.37
13.48 112.14
15.41 107.46
17.34 107.98
19.26 109.02
21.19 104.21
23.11 109.02
25.04 110.22
26.97 107.69
28.89 107.98
30.82 106.68
32.75 103.71
34.67 105.21
36.6 106.89
38.52 108.09
40.45 108.28
42.38 109.59
44.3 111.05
46.23 109.28
48.16 109.89
50.08 109.98
52.01 110.29
53.93 110.58
55.86 111.92
57.79 110.89
59.71 109.32
61.64 109.6
63.57 108.36
65.49 109.02
67.42 108.75
69.34 108.33
71.27 109.44
73.2 109.68
75.12 110.7
77.05 110.27
78.98 109.86
80.9 108.72
82.83 109.67
84.75 108.31
86.68 108.95
88.61 109.16
90.53 108.29
92.46 108.89
94.39 108.07
96.31 107.65