misterkiem (misterkiem)

Race #65

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Official speed 123.19 wpm (84.16 seconds elapsed during race)
Without ending ping 123.34 wpm (105 ms delay sending score to TypeRacer’s server)
Timerless 123.82 wpm (321 ms elapsed before first character typed; 83.74 seconds elapsed during race)
Timerless minus one 123.67 wpm, ignoring the first character typed
Race Start November 12, 2023 1:53:57am UTC
Race Finish November 12, 2023 1:55:21am UTC
Outcome Win (1 of 3)
Accuracy 98.1%
Points 332.61
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 a change in one quantity is related to a change in another. How does the speed of af allia falling object change as a function of time? How does the level fo watof water in a barrel change as a function of the amount of liquiedd poured into it? W ee see change ocurcurring in nearly everytinhing we obsever observe in the world and universe, and powerful modern instruments hleelp us see more and more. In this section we introduce the ideas of average and instantaenneuous rates of changes, anchange, and show that they are closely related to the slope of ac ura curve at a opoint P on the curve. We give precise developments of thseese 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 alilimit plaa limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 321 96 144 104 90 149 63 59 59 75 68 53 104 54 43 107 134 151 51 46 90 44 36 31 61
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 89 46 135 90 31 89 66 46 83 51 107 149 59 100 74 53 96 61 52 75 75 30 60 84 80
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 31 69 83 95 39 67 45 68 68 73 61 53 66 23 99 83 87 22 407 158 84 148 82 76 75
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 52 136 83 97 112 37 60 112 83 66 39 68 81 61 60 105 67 112 54 88 38 46 75 75 36
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 62 97 22 104 76 61 120 89 127 115 104 103 52 54 105 37 53 52 38 82 46 68 99 72 113
Character d o f a f a l l i -a -l -l -i -a -f - a f a l l
Milliseconds 127 76 97 7 89 40 97 15 58 90 129 52 278 0 0 0 136 0 0 405 96 84 112 83 120
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 59 90 37 46 76 58 166 53 59 158 50 130 52 105 67 31 68 81 16 89 75 47 97 60 95
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 77 23 142 44 108 22 64 108 88 67 228 96 58 47 150 30 149 159 111 47 118 29 130 37 37
Character t h e l e v e l f o w a t -w -a -t -f -o - o f
Milliseconds 89 38 99 22 113 52 97 61 52 82 75 10 88 23 74 45 301 0 0 134 0 0 302 74 51
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 83 60 37 90 69 45 66 54 74 22 83 69 44 61 112 82 105 347 95 106 58 120 23 68 81
Character a s a f u n c t i o n o f t h e a m o u
Milliseconds 55 51 69 60 112 60 104 92 75 157 23 105 14 76 97 51 76 53 45 90 38 67 59 83 90
Character n t o f l i q u i e d -d -e d p o u r e d i
Milliseconds 51 54 37 76 74 38 126 61 91 103 77 140 121 391 98 113 120 74 165 75 68 52 119 31 58
Character n t o i t ? W e -e - e s e e c h a n g e
Milliseconds 62 60 74 31 112 68 181 50 120 191 36 480 389 123 111 148 53 143 91 96 45 105 68 59 69
Character o c u r -r -u c u r r i n g i n n e a r l y
Milliseconds 46 112 90 90 178 262 122 98 90 83 111 52 83 46 51 68 36 84 60 60 54 50 86 73 61
Character e v e r y t i n -n -i h i n g w e o b s e v e r
Milliseconds 89 112 83 82 67 90 165 83 271 418 195 100 90 29 97 38 60 58 115 58 105 48 200 143 74
Character -o -b -s -e -v -e -r - o b s e r v e i n t h e w
Milliseconds 82 249 0 0 0 0 0 0 0 269 76 60 23 60 142 90 143 142 60 82 29 76 75 25 35
Character o r l d a n d u n i v e r s e , a n d p o
Milliseconds 128 68 158 97 73 47 61 65 38 61 76 89 52 105 90 84 58 54 58 83 45 92 29 75 46
Character w e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 59 38 75 110 98 174 240 97 75 52 151 52 53 89 83 60 45 45 128 14 136 83 90 45 66
Character h l e -e -l e l p u s s e e m o r e a n d
Milliseconds 31 66 121 120 278 127 98 96 128 84 97 90 22 106 51 120 98 69 76 35 74 16 69 50 76
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 44 68 47 73 45 128 44 157 78 89 81 69 76 65 61 82 38 75 196 58 76 37 52 39 52
Character i n t r o d u c e t h e i d e a s o f a
Milliseconds 76 82 53 21 136 74 61 97 76 272 124 77 65 61 54 88 68 126 61 76 46 81 24 73 54
Character v e r a g e a n d i n s t a n t a e n -n -e n e
Milliseconds 43 112 91 68 76 59 52 92 73 61 30 97 60 31 53 80 39 68 119 189 125 451 104 263 106
Character u -u o u s r a t e s o f c h a n g e s , a
Milliseconds 421 345 178 83 61 50 76 92 60 66 61 14 112 11 78 85 111 54 171 77 67 28 75 61 70
Character n -a -n -c -h -a -n -g -e -s -, - c h a n g e , a n d s
Milliseconds 81 307 0 144 0 0 0 0 0 0 0 0 449 88 76 105 29 69 81 46 52 90 83 83 83
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 80 70 51 30 105 60 62 44 68 44 16 127 44 60 76 50 78 28 122 89 129 53 57 84 60
Character r e l a t e d t o t h e s l o p e o f
Milliseconds 44 128 60 120 53 47 57 137 73 82 16 75 60 44 76 53 90 81 144 137 72 37 99 31 74
Character a c u r -u -r -a -c - a c u r v e a t a o -o
Milliseconds 51 89 8 152 53 322 0 119 0 0 339 67 98 119 83 156 61 83 60 45 75 61 81 74 452
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 157 127 188 82 29 91 90 99 128 64 62 47 80 60 61 104 67 114 170 60 113 31 128 216 90
Character g i v e p r e c i s e d e v e l o p m e n t s
Milliseconds 109 87 97 39 51 68 83 75 150 73 91 68 76 90 134 106 67 52 150 40 125 76 104 30 83
Character o f t h s e -e -s e s e i m p o r t a n t c
Milliseconds 44 76 52 69 59 75 90 44 368 83 82 105 47 82 112 44 119 39 44 122 59 59 62 65 123
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 65 60 39 61 96 53 59 53 97 39 66 83 105 83 82 68 45 165 29 75 121 59 99 68 66
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 112 61 50 68 115 51 67 78 96 66 76 53 67 74 22 90 83 53 90 106 111 54 83 120 98
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 81 83 66 25 103 99 104 66 90 83 76 67 120 98 82 83 61 29 75 30 75 90 66 75 77
Character w i l l s e e h o w t h e y l e a d n
Milliseconds 36 60 76 133 136 68 38 53 119 90 90 83 74 52 62 52 104 24 66 173 90 98 91 96 111
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 102 66 67 82 59 82 130 43 61 90 44 45 62 44 67 45 83 68 89 60 53 105 82 135 46
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 53 89 46 66 53 38 74 39 81 60 68 83 91 42 113 61 68 66 61 47 87 38 74 72 101
Character i t . T h e i d e a o f a l i -i -l l i m i
Milliseconds 53 151 90 245 159 150 112 108 74 50 137 36 76 83 51 77 52 90 88 227 126 206 94 75 106
Character t p l a -p -l -a -a -l -i -m -i -t - a l i m i t p l
Milliseconds 75 59 113 76 74 279 0 0 126 0 0 0 0 0 0 825 135 143 97 83 81 78 65 106 38
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 89 85 95 45 91 82 22 98 75 46 51 105 61 37 82 60 85 81 44 69 104 135 75 52 83
Character h r o u g h o u t c a l c u l u s .
Milliseconds 52 105 76 51 62 59 88 55 75 53 174 87 105 182 156 165 52 82 83
WPM Timing
Seconds WPM
1.68 114.06
3.37 135.45
5.05 152.09
6.73 140.8
8.42 148.28
10.1 148.52
11.78 133.42
13.47 133.67
15.15 136.24
16.83 137.59
18.52 131.56
20.2 132.48
21.88 135.45
23.57 132.4
25.25 132.6
26.93 126.54
28.62 124.55
30.3 125.95
31.98 122.32
33.67 119.06
35.35 120.85
37.03 122.17
38.71 122.12
40.4 122.98
42.08 124.33
43.76 124.76
45.45 127
47.13 123.23
48.81 122.18
50.5 119.06
52.18 121.19
53.86 122.53
55.55 120.98
57.23 120.15
58.91 120.18
60.6 120.2
62.28 121
63.96 120.63
65.65 121.74
67.33 122.62
69.01 123.11
70.7 123.91
72.38 124.34
74.06 125.89
75.75 126.26
77.43 125.53
79.11 122.86
80.8 122.38
82.48 123.23
84.16 123.19