Influensane - nonquit main/priv. (mth_quitless)

Race #11704

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Official speed 181.86 wpm (57.01 seconds elapsed during race)
Without ending ping 182.34 wpm (149 ms delay sending score to TypeRacer’s server)
Timerless 182.43 wpm (29 ms elapsed before first character typed; 56.83 seconds elapsed during race)
Timerless minus one 182.22 wpm, ignoring the first character typed
Race Start June 16, 2024 11:40:15pm UTC
Race Finish June 16, 2024 11:41:12pm UTC
Outcome Win (1 of 2)
Accuracy 98.5%
Points 491.01
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 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 unvierseuniverse, and powerful modern instruments hep us 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 in te on the curve. We give precise developmentws o fhs of these important concepts in the enexnext chapter, but for now se we use an informal approach so you wll sewilwill 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 29 88 71 81 97 72 117 78 37 48 53 52 49 74 58 79 101 51 68 46 69 48 30 39 25
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 84 46 96 68 66 49 83 37 46 87 82 65 335 82 84 45 73 36 44 64 50 22 62 38 95
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 58 74 31 43 64 45 52 67 33 36 101 50 32 47 104 62 73 48 98 130 87 140 93 82 35
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 50 48 34 31 74 34 23 70 31 54 36 63 51 83 62 57 63 35 81 41 47 48 58 42 51
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 50 65 68 83 36 48 51 80 94 59 42 60 58 36 83 37 67 58 58 53 45 118 98 50 101
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 68 34 63 70 37 61 50 46 55 61 66 121 50 35 50 70 55 70 32 60 112 55 90 37 63
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 50 77 37 50 74 34 67 66 55 35 107 93 35 105 56 46 85 36 77 35 51 49 69 49 44
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 153 82 118 63 52 52 95 44 67 21 73 61 37 53 48 35 46 52 81 51 52 52 43 57 46
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 64 57 33 49 32 94 22 50 68 62 84 36 36 97 115 0 119 46 90 78 34 70 31 68 51
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 51 69 73 54 41 77 85 50 116 45 38 96 35 82 44 61 47 35 31 36 49 60 70 69 89
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 60 48 37 84 43 39 82 65 84 34 81 55 47 113 56 62 49 35 34 70 46 88 49 61 84
Character t ? W e s e e c h a n g e o c c u r r i n
Milliseconds 53 169 62 38 99 94 69 52 133 38 47 79 47 29 60 30 39 60 73 96 119 65 97 68 48
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 59 47 48 63 23 83 46 50 32 22 98 39 42 49 86 46 83 37 67 49 24 58 67 53 35
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 56 54 69 89 27 35 134 35 44 64 39 63 38 60 25 70 25 53 66 34 81 54 48 46 37
Character u n v i e r s e -u -n -v -i -e -r -s -e u n i v e r s e
Milliseconds 49 66 98 87 37 35 39 97 44 180 0 0 0 0 0 0 0 123 100 45 80 50 71 71 62
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 51 64 48 35 51 67 33 75 41 26 29 61 64 70 80 82 51 34 74 24 49 32 58 66 36
Character t r u m e n t s h e p u s -h -e -p - -u -s - h e
Milliseconds 44 71 26 91 48 74 43 51 50 33 112 151 54 100 37 46 260 0 0 0 0 0 0 133 116
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 36 85 96 55 51 67 50 33 138 61 45 33 65 32 18 64 35 72 35 24 29 65 30 51 37
Character I n t h i s s e c t i o n w e i n t r o d
Milliseconds 111 89 65 33 50 46 37 32 65 47 40 134 41 53 56 43 36 36 44 73 40 41 51 68 64
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 62 73 39 44 64 35 35 89 76 66 115 42 37 40 51 66 51 59 75 95 50 50 71 49 51
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 29 36 67 46 51 49 34 55 46 87 84 63 52 262 88 51 48 64 49 36 86 48 48 35 51
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 67 48 110 53 38 51 59 39 103 0 58 58 41 39 48 87 49 45 53 52 45 22 49 34 51
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 64 31 65 38 45 39 47 53 64 46 70 37 32 52 132 0 50 33 31 64 39 33 66 34 66
Character o t h e s l o p e o f a c u r v e a t
Milliseconds 49 97 37 47 65 50 39 76 91 60 57 46 53 33 63 71 59 32 55 84 152 49 52 66 50
Character a p o i n t P i n t e -i -n - -t -e - o n
Milliseconds 51 80 67 113 71 49 36 48 47 102 115 82 39 60 39 96 55 161 0 0 0 0 0 101 48
Character t h e c u r v e . W e g i v e p r e c i
Milliseconds 92 36 65 0 46 63 31 90 147 49 46 70 49 83 67 69 78 71 24 46 48 102 0 112 70
Character s e d e v e l o p m e n t w s o f h -f -h -o -
Milliseconds 61 23 49 64 116 83 47 32 73 83 119 79 72 46 70 70 0 40 90 31 98 235 0 102 0
Character - -s -w s o f t h e s e i m p o r t a n t c
Milliseconds 164 150 133 89 46 61 38 67 72 0 70 54 72 84 44 24 114 61 51 38 47 53 49 67 96
Character o n c e p t s i n t h e e n e x -e -n -e -x n e
Milliseconds 33 36 69 35 59 69 78 21 67 47 37 47 53 34 61 72 34 100 83 183 0 0 0 85 67
Character x t c h a p t e r , b u t f o r n o w s
Milliseconds 66 144 54 66 80 38 86 31 34 48 63 23 100 66 99 33 78 54 52 48 62 38 48 53 101
Character e -s -e - w e u s e a n i n f o r m a l a
Milliseconds 54 59 298 0 0 115 28 62 50 50 50 47 79 37 68 65 51 53 77 72 48 86 49 64 46
Character p p r o a c h s o y o u w l l s e -s -e w i
Milliseconds 72 115 97 56 81 47 36 69 38 46 82 46 52 22 65 41 73 116 49 65 37 250 0 164 49
Character l -w -l -l - -w -i -l w i l l s e e h o w t h e y
Milliseconds 53 235 0 0 0 0 0 0 112 49 50 105 48 0 47 95 51 36 51 52 35 52 31 67 31
Character l e a d n a t u r a l l y t o t h e m a
Milliseconds 63 38 62 25 65 44 40 32 50 68 32 50 45 88 104 29 63 37 68 42 24 50 62 34 86
Character i n i d e a o f t h i s c h a p t e r ,
Milliseconds 34 53 45 64 39 81 53 43 54 83 31 51 24 59 30 53 68 52 97 36 97 31 40 31 62
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 52 41 47 43 34 126 30 98 49 99 52 85 63 50 84 43 43 113 48 144 125 83 66 38 64
Character l i m i t p l a y s a f o u n d a t i o n a
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Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 51 66 82 67 83 58 55 18 38 49 27 57 83 30 85 63 35 67 52 34 79 83 106 109 57
Character s .
Milliseconds 78 74
WPM Timing
Seconds WPM
1.14 168.39
2.28 184.18
3.42 175.41
4.56 181.54
5.7 185.23
6.84 189.44
7.98 187.93
9.12 190.75
10.26 190.61
11.4 188.39
12.54 192.31
13.68 192.07
14.82 192.68
15.96 193.95
17.1 193.65
18.24 193.38
19.38 193.15
20.52 194.11
21.66 194.42
22.8 189.44
23.94 191.44
25.08 188
26.23 184.86
27.37 187.68
28.51 189.02
29.65 189.03
30.79 188.66
31.93 189.81
33.07 191.98
34.21 193.3
35.35 193.17
36.49 191.08
37.63 190.08
38.77 189.75
39.91 187.03
41.05 184.47
42.19 184.89
43.33 183.34
44.47 183.77
45.61 182.07
46.75 181.99
47.89 180.42
49.03 178.67
50.17 180.11
51.31 181.25
52.45 181.89
53.59 181.38
54.73 181.76
55.87 182.35
57.01 181.86