realboot (sahibprime)

Race #715

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Official speed 181.20 wpm (57.22 seconds elapsed during race)
Without ending ping 181.56 wpm (114 ms delay sending score to TypeRacer’s server)
Timerless 182.36 wpm (251 ms elapsed before first character typed; 56.85 seconds elapsed during race)
Timerless minus one 182.15 wpm, ignoring the first character typed
Race Start August 11, 2023 10:21:08pm UTC
Race Finish August 11, 2023 10:22:05pm UTC
Outcome Win (1 of 2)
Accuracy 98.5%
Points 489.24
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 a falling object change as a function of time? How does the levl el of water in a barrel change as a function of the amount of liquid poured into it? We see change occuriring 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 instanteananeous rates of change, and show that they are closely lreaelated to the slope of a curve at a point P on the curve. We give precise developments of these iportantmportant concepts in the next chaptr,er, but for now we use an informal papperoacroach so you will se he how they lead naturally to the main idea of this chapter, the limit. The idea of a limit p[alys olays a foundational role throuhgout 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 251 92 48 64 82 70 72 62 41 102 21 53 66 57 44 43 105 119 63 40 48 97 8 15 42
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 80 58 40 51 82 58 14 66 65 18 32 116 23 121 57 67 57 69 53 43 16 41 76 72 41
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 96 41 64 62 48 16 53 51 37 69 38 56 21 55 83 62 70 44 62 68 48 113 32 66 46
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 48 39 41 40 56 41 56 96 36 59 39 69 147 82 67 53 100 30 59 24 79 25 48 56 16
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 48 57 54 41 75 48 30 73 87 79 56 57 88 33 102 41 64 48 39 56 80 101 51 128 88
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 104 32 57 40 71 80 24 61 28 72 104 130 22 47 62 51 92 46 37 67 96 40 48 55 53
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 76 61 15 42 74 34 72 59 48 67 42 42 33 88 12 37 47 73 47 40 81 55 42 57 32
Character ? H o w d o e s t h e l e v l - -l e l
Milliseconds 118 80 79 100 75 38 83 24 116 45 31 76 61 40 49 56 89 65 70 179 155 114 72 70 57
Character o f w a t e r i n a b a r r e l c h a n
Milliseconds 64 36 60 23 26 89 41 26 68 42 29 76 142 86 22 89 82 94 32 96 59 83 36 56 64
Character g e a s a f u n c t i o n o f t h e a
Milliseconds 67 24 35 89 67 31 93 43 43 34 65 39 56 36 34 35 89 48 51 56 69 46 17 74 55
Character m o u n t o f l i q u i d p o u r e d i n
Milliseconds 78 66 33 46 40 40 39 73 41 31 135 70 59 35 56 53 33 66 78 27 22 120 24 29 34
Character t o i t ? W e s e e c h a n g e o c c u
Milliseconds 96 20 99 26 86 105 64 25 109 99 26 70 111 43 108 15 58 73 71 23 25 31 84 131 42
Character r i -i r i n g i n n e a r l y e v e r y t h
Milliseconds 60 100 311 97 80 33 25 55 71 38 65 74 23 32 31 90 72 25 77 57 35 52 119 67 79
Character i n g w e o b s e r v e i n t h e w o r
Milliseconds 41 63 20 52 72 35 43 43 39 77 57 20 80 40 69 56 28 61 63 9 73 41 44 51 33
Character l d a n d u n i v e r s e , a n d p o w e
Milliseconds 110 22 88 33 47 54 71 27 17 73 47 112 57 71 89 44 59 93 51 47 80 62 24 25 89
Character r f u l m o d e r n i n s t r u m e n t s h
Milliseconds 57 114 27 64 96 40 59 37 115 35 87 61 27 13 9 56 118 0 123 63 37 43 65 62 29
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 63 33 46 71 39 41 57 79 58 129 51 25 55 49 47 52 23 46 39 73 30 32 54 46 86
Character I n t h i s s e c t i o n w e i n t r o
Milliseconds 58 102 95 48 73 31 41 39 65 39 57 32 67 34 59 80 22 49 73 25 54 25 30 113 34
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 95 26 48 95 47 21 60 64 33 46 35 133 80 36 61 74 36 38 47 68 57 40 56 75 43
Character a n d i n s t a n t e a n -n -a -e a n e o u s
Milliseconds 42 70 35 46 71 59 31 48 63 52 54 28 66 87 123 155 115 120 39 80 53 51 57 25 87
Character r a t e s o f c h a n g e , a n d s h o w
Milliseconds 39 40 106 38 49 42 70 49 15 87 57 63 82 45 26 98 30 47 56 48 51 35 52 64 13
Character t h a t t h e y a r e c l o s e l y l r
Milliseconds 65 41 41 63 23 58 62 33 52 48 53 46 53 35 32 89 39 146 50 37 43 62 48 48 47
Character e a -l -e -a e l a t e d t o t h e s l o p e
Milliseconds 68 67 298 0 0 32 72 33 70 47 82 63 23 56 76 25 51 40 85 27 24 84 63 22 72
Character o f a c u r v e a t a p o i n t P o
Milliseconds 209 69 73 50 62 73 56 38 41 72 65 39 81 68 45 87 104 64 169 26 36 76 103 81 82
Character n t h e c u r v e . W e g i v e p r e c
Milliseconds 56 65 82 41 127 43 109 64 64 65 40 72 111 46 116 56 47 71 64 97 36 33 59 28 51
Character i s e d e v e l o p m e n t s o f t h e s e
Milliseconds 71 24 48 49 65 108 64 56 26 126 24 131 56 88 17 39 64 80 47 40 81 23 48 65 52
Character i p o r t a n t -p -o -r -t -a -n -t m p o r t a n t
Milliseconds 63 36 98 47 47 56 75 31 41 261 0 0 0 0 0 0 65 64 52 15 54 92 41 71 34
Character c o n c e p t s i n t h e n e x t c h a p
Milliseconds 88 40 25 49 55 72 35 22 58 41 59 29 37 71 40 55 64 21 38 115 36 80 39 32 66
Character t r , -, -r e r , b u t f o r n o w w e u
Milliseconds 29 126 38 240 113 30 61 34 72 34 86 29 17 64 40 92 37 30 60 36 60 62 44 44 82
Character s e a n i n f o r m a l p -p a p p e r o a c
Milliseconds 45 18 82 52 40 56 56 40 25 48 119 32 62 35 120 33 225 182 95 126 176 0 75 76 52
Character -c -a -o -r -e r o a c h s o y o u w i l l s e
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Character h -h - e h o w t h e y l e a d n a t u r
Milliseconds 170 37 211 110 50 84 49 40 23 106 30 27 54 38 34 38 42 51 55 64 79 81 33 21 73
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 47 33 111 51 38 64 47 66 33 29 50 80 49 78 47 58 71 55 24 129 14 49 73 63 44
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 61 37 35 48 47 73 39 68 59 27 87 48 15 89 55 76 21 55 16 81 95 18 95 81 73
Character T h e i d e a o f a l i m i t p [ a l y
Milliseconds 53 105 32 75 28 56 121 55 49 46 73 40 67 61 23 34 54 73 82 38 74 18 70 24 15
Character s -[ -a -l -y -s - o -o l a y s a f o u n d a t i
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Character o n a l r o l e t h r o u h g o u t -t -h -r -o
Milliseconds 41 67 59 34 83 77 73 119 37 52 30 69 60 63 67 55 45 59 41 23 72 258 0 0 0
Character -u -h -g -o -u -t - t h r o u g h o u t c a l c u l u
Milliseconds 0 0 0 0 0 0 0 460 34 130 29 33 78 48 89 50 43 62 62 56 28 76 41 71 48
Character s .
Milliseconds 68 84
WPM Timing
Seconds WPM
1.14 157.29
2.29 188.75
3.43 192.25
4.58 199.24
5.72 199.24
6.87 200.98
8.01 197.74
9.15 197.93
10.3 201.57
11.44 200.28
12.59 192.56
13.73 191.37
14.88 194.4
16.02 196.24
17.17 196.44
18.31 194.65
19.45 193.07
20.6 194.58
21.74 195.92
22.89 195.57
24.03 196.74
25.18 198.76
26.32 199.24
27.46 199.67
28.61 200.91
29.75 196.82
30.9 198.07
32.04 198.86
33.19 196.71
34.33 196.44
35.48 195.85
36.62 194.65
37.76 195.11
38.91 195.23
40.05 192.35
41.2 193.7
42.34 192.15
43.49 193.17
44.63 190.09
45.77 187.18
46.92 185.94
48.06 186.5
49.21 187.04
50.35 188.04
51.5 188.28
52.64 186.7
53.79 184.51
54.93 184.38
56.07 181.05
57.22 181.2