amanogawa (lhykv)

Race #27644

View Pit Stop page for race #27644 by lhykv — Ghost race

View profile for amanogawa (lhykv)

Official speed 166.02 wpm (62.45 seconds elapsed during race)
Without ending ping 166.68 wpm (248 ms delay sending score to TypeRacer’s server)
Timerless 167.55 wpm (321 ms elapsed before first character typed; 61.88 seconds elapsed during race)
Timerless minus one 167.35 wpm, ignoring the first character typed
Race Start December 5, 2023 12:12:02pm UTC
Race Finish December 5, 2023 12:13:04pm UTC
Outcome Win (1 of 5)
Opponents 2. doublestab (117.02 wpm)
Accuracy 98.1%
Points 448.26
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 ehlpselps us understnad hand hwo a aow a change in one quantity is related to a change in tanoaonother. 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 chage nge occurring in nearly everything we observe in the world and universe, and powerful modern instrumets nts help us see more and more. In this section we introduce the ideas of average and instantnanoueous 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 conceps in tts in the next chapter, but for now we use an informal approach so you will see how they lead unataturally to the main idea of this chapter, the limit. The idea of a limit plays a foundatinoal .onal role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t e
Milliseconds 321 95 67 92 80 67 85 83 92 53 56 74 85 65 87 52 104 56 98 57 35 57 40 30 88
Character h l p s -e -l -p -s e l p s u s u n d e r s t n a
Milliseconds 20 32 169 111 217 0 0 0 85 51 94 69 51 32 72 40 60 31 78 75 52 60 96 72 65
Character d h -h - -d -a -n a n d h w o a a -w -o - -a - -a
Milliseconds 99 115 60 224 90 115 133 114 104 48 63 48 41 19 19 140 70 59 167 347 0 0 0 0 0
Character o w a c h a n g e i n o n e q u a n t i
Milliseconds 27 76 48 52 73 73 40 72 37 64 31 44 39 33 77 56 60 41 87 56 92 60 72 71 53
Character t y i s r e l a t e d t o a c h a n g e
Milliseconds 82 36 61 47 71 82 52 31 69 53 41 115 18 66 78 11 60 121 62 69 50 65 44 60 48
Character i n t a n o -t -a -o a o -n -o n o t h e r . H o
Milliseconds 29 34 36 78 15 146 86 27 267 0 0 17 167 333 0 55 27 47 36 70 56 61 29 94 210
Character w d o e s t h e s p e e d o f a f a l
Milliseconds 93 90 33 84 48 50 79 20 55 45 78 57 56 92 82 68 72 18 68 74 51 81 19 73 19
Character l i n g o b j e c t c h a n g e a s a f
Milliseconds 87 21 53 31 63 41 64 55 58 36 122 35 80 29 58 46 47 49 59 41 49 65 64 74 21
Character u n c t i o n o f t i m e ? H o w d o e s
Milliseconds 87 28 36 129 32 16 26 56 47 28 76 57 28 28 75 75 56 80 97 37 88 27 85 34 21
Character t h e l e v e l o f w a t e r i n a
Milliseconds 48 51 28 74 39 43 60 69 72 26 60 72 21 88 31 33 77 78 52 48 28 55 88 36 64
Character b a r r e l c h a n g e a s a f u n c t i
Milliseconds 77 60 56 127 40 60 41 41 51 71 35 48 50 46 83 121 60 389 114 81 56 31 56 134 14
Character o n o f t h e a m o u n t o f l i q u i
Milliseconds 28 24 45 63 40 42 58 16 56 64 24 116 344 33 54 93 65 47 56 73 87 57 66 77 21
Character d p o u r e d i n t o i t ? W e s e e
Milliseconds 62 52 52 165 40 50 24 83 52 24 48 71 55 45 71 87 95 34 60 101 73 67 35 107 82
Character c h a g e - -e -g n g e o c c u r r i n g i n
Milliseconds 73 39 52 128 49 80 286 123 118 170 47 31 40 38 77 105 39 80 93 60 35 88 73 198 64
Character n e a r l y e v e r y t h i n g w e o b s
Milliseconds 67 88 69 69 62 39 17 47 77 65 64 47 31 74 25 18 89 64 82 26 60 57 39 75 78
Character e r v e i n t h e w o r l d a n d u n i
Milliseconds 47 36 61 71 43 49 51 73 44 73 122 76 68 58 79 60 60 50 58 36 97 28 51 56 32
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 56 31 66 76 38 43 36 37 53 36 67 33 31 29 36 22 111 61 21 39 79 68 69 84 47
Character n i n s t r u m e t s - -s -t n t s h e l p
Milliseconds 46 42 46 60 54 83 37 46 100 64 125 43 101 166 116 106 132 51 20 64 56 78 44 121 17
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 87 59 71 64 137 117 62 15 40 39 28 64 49 8 95 44 49 35 55 28 67 39 75 84 51
Character t h i s s e c t i o n w e i n t r o d u c e
Milliseconds 65 17 55 62 77 62 63 20 135 28 17 23 31 55 42 93 40 41 80 39 43 81 15 137 52
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 54 87 38 65 76 31 66 55 56 51 86 30 73 60 68 64 93 51 45 55 64 64 35 75 42
Character i n s t a n t n -n a n o u -u -o e o u s r a t e
Milliseconds 84 44 47 90 76 17 143 92 75 312 85 81 79 55 341 113 63 62 20 77 50 128 299 182 61
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 21 70 67 64 55 89 17 69 47 66 26 41 45 67 48 39 69 56 68 29 39 85 55 56 48
Character t t h e y a r e c l o s e l y r e l a t e
Milliseconds 63 66 51 36 79 17 87 45 48 18 80 86 40 51 70 33 46 52 42 69 37 79 69 49 135
Character d t o t h e s l o p e o f a c u r v e
Milliseconds 36 91 82 32 53 48 46 29 80 65 41 78 93 128 99 45 89 62 57 73 55 75 65 59 65
Character a t a p o i n t P o n t h e c u r v
Milliseconds 71 71 49 49 79 80 64 39 47 62 61 67 124 105 62 59 69 51 32 57 32 75 66 67 67
Character e . W e g i v e p r e c i s e d e v e l o
Milliseconds 50 52 48 86 93 86 81 61 74 34 46 36 103 13 90 85 47 49 57 75 68 100 52 2 64
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 71 52 106 39 99 25 61 27 89 65 59 20 88 56 96 70 56 53 65 64 26 69 25 79 93
Character c o n c e p s i n t -t - -n -i - -s t s i n
Milliseconds 69 92 32 43 81 43 72 80 88 65 30 103 60 272 117 146 116 113 110 111 35 46 50 40 87
Character t h e n e x t c h a p t e r , b u t f o r
Milliseconds 42 52 62 49 56 33 109 67 52 89 26 60 54 80 104 60 43 49 29 62 57 67 48 69 52
Character n o w w e u s e a n i n f o r m a l a
Milliseconds 69 47 39 76 79 70 27 74 42 72 27 90 66 66 60 55 61 67 70 55 47 81 42 98 82
Character p p r o a c h s o y o u w i l l s e e h
Milliseconds 53 104 57 86 56 56 44 50 80 61 67 69 78 3 74 80 51 31 131 42 45 31 111 37 38
Character o w t h e y l e a d u n a t -t -u -a a t u r a
Milliseconds 40 52 64 56 31 69 20 52 76 57 27 97 19 36 44 83 53 177 232 0 52 66 21 132 85
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 166 118 56 53 243 49 62 37 47 41 68 28 72 2 62 67 69 39 45 80 69 10 81 47 57
Character h i s c h a p t e r , t h e l i m i t . T
Milliseconds 18 76 54 48 87 32 89 44 35 104 64 61 17 73 33 47 49 40 48 66 76 56 90 44 47
Character h e i d e a o f a l i m i t p l a y s
Milliseconds 52 85 45 27 96 56 69 58 13 76 66 63 68 18 45 59 93 77 89 29 56 45 113 39 75
Character a f o u n d a t i n o a l . - -. -l -a -o -n o n a
Milliseconds 56 91 65 45 29 21 57 39 89 32 31 2 78 148 59 67 171 95 116 131 117 100 138 29 54
Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 69 56 43 108 142 45 55 61 52 99 27 61 137 74 52 33 38 84 78 43 22 118 51 42 72
Character s .
Milliseconds 67 68
WPM Timing
Seconds WPM
1.25 115.29
2.5 120.1
3.75 128.1
5 108.09
6.25 103.76
7.49 120.1
8.74 133.13
9.99 122.5
11.24 128.1
12.49 136.43
13.74 144.11
14.99 151.32
16.24 155.94
17.49 155.78
18.74 158.21
19.98 157.93
21.23 159.94
22.48 154.26
23.73 154.73
24.98 158.05
26.23 159.67
27.48 163.77
28.73 162.49
29.98 161.33
31.23 164.1
32.47 165.92
33.72 167.24
34.97 165.39
36.22 162
37.47 163.01
38.72 164.88
39.97 166.03
41.22 166.24
42.47 166.72
43.72 167.45
44.96 168.4
46.21 168.52
47.46 164.09
48.71 165.05
49.96 166.21
51.21 166.61
52.46 167.45
53.71 166.46
54.96 166.17
56.21 167.17
57.45 168.13
58.7 168.85
59.95 166.93
61.2 166.27
62.45 166.02