spaw (spaw)

Race #31

View Pit Stop page for race #31 by spaw — Ghost race

View profile for spaw (spaw)

Official speed 155.42 wpm (66.71 seconds elapsed during race)
Without ending ping 155.73 wpm (57 ms delay sending score to TypeRacer’s server)
Timerless 156.54 wpm (342 ms elapsed before first character typed; 66.31 seconds elapsed during race)
Timerless minus one 156.35 wpm, ignoring the first character typed
Race Start November 27, 2023 8:26:39pm UTC
Race Finish November 27, 2023 8:27:46pm UTC
Outcome Win (1 of 2)
Accuracy 99.2%
Points 419.64
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 cahnhange in one quantity is related to a change in naanother. How does the speed of a falling object change as a function of time? How does the level of water in a barrel change a s a function of the amount of liquid poured into it? We see change occurring in nearly everythingw e oeverything 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 342 128 47 118 122 34 174 66 55 74 46 59 69 76 38 100 139 131 120 61 110 31 59 29 102
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 24 56 93 68 70 81 55 71 130 20 59 79 67 90 68 88 69 70 66 39 28 50 80 123 93
Character c a h n -a -h -n h a n g e i n o n e q u a n t
Milliseconds 97 93 0 210 442 0 0 81 60 116 64 30 48 46 31 56 95 35 57 36 121 114 76 86 93
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 48 98 112 74 69 55 62 80 36 60 71 35 81 73 32 137 44 95 87 67 81 85 37 132 36
Character e i n n a -a -n a n o t h e r . H o w d o e
Milliseconds 46 65 76 31 44 121 144 201 131 101 79 26 75 63 72 36 84 78 86 153 63 39 87 122 42
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 32 60 86 82 55 46 102 152 35 130 20 48 81 81 102 49 87 57 58 58 148 132 49 66 53
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 77 70 101 52 55 74 95 126 56 69 72 68 29 65 83 38 48 120 95 85 116 15 59 34 81
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 31 31 75 82 40 50 86 33 38 62 137 55 159 149 41 45 82 75 57 40 49 85 89 28 54
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 121 147 58 78 67 70 106 70 39 59 84 56 73 61 42 53 26 70 94 91 127 47 56 124 84
Character l c h a n g e a - s a f u n c t i o n
Milliseconds 124 75 118 49 64 70 65 56 30 99 104 428 56 46 72 73 77 95 29 53 26 84 23 50 75
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 81 63 34 99 65 36 63 68 66 177 59 50 93 59 29 100 46 69 21 85 133 45 55 68 445
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 35 100 149 94 85 64 87 30 79 58 65 72 66 184 75 120 170 40 83 48 95 82 89 62 101
Character n g e o c c u r r i n g i n n e a r l y e
Milliseconds 73 66 53 72 77 56 125 113 62 122 88 39 30 60 57 20 57 130 116 53 31 86 39 49 139
Character v e r y t h i n g w e $o -v -e -r -y -t -h -i -n -g -w -
Milliseconds 51 96 31 65 126 20 57 38 59 52 0 121 88 585 0 0 0 0 0 0 0 0 0 0 0
Character -e - -o e v e r y t h i n g w e o b s e r v e
Milliseconds 0 0 335 66 82 82 69 80 98 23 50 47 46 54 107 57 50 100 130 96 35 427 66 65 88
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 74 39 42 72 64 62 49 57 44 26 74 22 120 84 117 31 42 82 31 120 44 102 64 58 58
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 82 87 85 98 66 39 97 0 64 33 37 117 92 9 70 170 22 53 80 69 60 85 64 21 123
Character t r u m e n t s h e l p u s s e e m o r e
Milliseconds 102 48 62 51 56 92 53 33 70 126 17 78 59 148 79 58 65 84 30 123 57 97 22 49 26
Character a n d m o r e . I n t h i s s e c t i o
Milliseconds 69 76 107 63 59 159 61 55 57 125 63 155 171 41 87 58 24 71 81 113 66 64 55 65 22
Character n w e i n t r o d u c e t h e i d e a s
Milliseconds 55 64 84 23 74 78 36 49 30 94 70 102 53 35 49 111 71 49 57 75 25 62 55 37 59
Character o f a v e r a g e a n d i n s t a n t a n e
Milliseconds 92 36 71 55 94 135 41 83 92 133 61 76 110 54 56 196 46 45 82 47 103 70 69 189 144
Character o u s r a t e s o f c h a n g e , a n d
Milliseconds 150 36 60 49 103 67 93 59 44 51 37 68 89 144 181 167 96 65 42 92 79 44 109 42 35
Character s h o w t h a t t h e y a r e c l o s e l
Milliseconds 80 80 20 55 49 97 74 66 46 35 82 77 41 68 26 102 53 29 50 115 36 50 52 31 68
Character y r e l a t e d t o t h e s l o p e o f
Milliseconds 87 41 104 16 42 92 40 83 82 35 135 64 42 58 99 63 33 115 187 75 152 123 56 85 75
Character a c u r v e a t a p o i n t P o n
Milliseconds 56 34 103 27 98 63 56 81 98 113 74 50 57 79 75 17 18 44 29 43 174 79 115 38 42
Character t h e c u r v e . W e g i v e p r e c i s
Milliseconds 64 75 45 46 94 83 81 28 140 139 122 113 148 42 73 77 72 22 60 96 49 65 48 92 43
Character e d e v e l o p m e n t s o f t h e s e i
Milliseconds 42 64 87 40 128 26 32 75 111 160 71 100 57 46 36 184 78 50 103 59 42 66 86 80 70
Character m p o r t a n t c o n c e p t s i n t h e
Milliseconds 49 159 84 24 70 71 123 63 62 134 41 49 49 44 91 61 51 45 86 31 55 51 90 74 31
Character n e x t c h a p t e r , b u t f o r n o w
Milliseconds 81 65 64 95 140 81 85 65 94 56 58 56 76 73 129 15 42 41 102 35 79 70 32 36 47
Character w e u s e a n i n f o r m a l a p p r o
Milliseconds 63 119 30 69 84 53 21 96 77 73 56 98 29 44 108 65 89 60 110 98 96 84 116 64 121
Character a c h s o y o u w i l l s e e h o w t
Milliseconds 59 66 59 101 59 77 61 59 62 44 36 53 80 11 153 72 17 68 150 55 83 28 31 60 92
Character h e y l e a d n a t u r a l l y t o t h e
Milliseconds 62 48 53 45 23 80 41 49 41 51 68 68 61 58 37 56 135 47 93 127 57 73 53 68 79
Character m a i n i d e a o f t h i s c h a p t e
Milliseconds 64 60 79 82 34 59 93 35 50 50 99 157 62 60 127 83 25 37 56 89 72 63 106 96 77
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 41 80 90 76 35 99 68 65 102 61 130 122 94 96 120 127 50 36 97 12 35 52 59 109 46
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 59 37 83 65 29 49 129 78 37 164 55 68 40 92 103 82 50 66 85 50 20 46 91 68 41
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 34 53 73 88 25 74 73 47 72 45 136 47 58 105 36 32 25 87 27 54 66 165 27 50 113
Character u l u s .
Milliseconds 112 100 198 88 59
WPM Timing
Seconds WPM
1.33 116.92
2.67 134.91
4 146.91
5.34 128.17
6.67 134.91
8.01 142.41
9.34 137.48
10.67 139.41
12.01 140.91
13.34 143.01
14.68 145.54
16.01 147.65
17.34 148.75
18.68 145.83
20.01 148.1
21.35 147.28
22.68 147.08
24.02 146.91
25.35 148.17
26.68 140.76
28.02 140.05
29.35 139.41
30.69 141.17
32.02 142.78
33.35 143.91
34.69 144.95
36.02 145.24
37.36 147.12
38.69 147.32
40.03 146.91
41.36 146.52
42.69 148.4
44.03 149.63
45.36 149.2
46.7 150.07
48.03 149.9
49.37 150.47
50.7 150.53
52.03 151.29
53.37 151.55
54.7 152.68
56.04 152.47
57.37 153.32
58.7 154.13
60.04 154.5
61.37 154.66
62.71 154.62
64.04 154.96
65.38 155.65
66.71 155.42