Cepheus's 🌌 (parkevan27)

Race #83716

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Official speed 162.17 wpm (63.93 seconds elapsed during race)
Without ending ping 162.73 wpm (222 ms delay sending score to TypeRacer’s server)
Timerless 163.51 wpm (303 ms elapsed before first character typed; 63.41 seconds elapsed during race)
Timerless minus one 163.32 wpm, ignoring the first character typed
Race Start October 21, 2023 10:58:12am UTC
Race Finish October 21, 2023 10:59:16am UTC
Outcome Win (1 of 3)
Opponents 2. altrocality (135.88 wpm)
3. z4gee (125.34 wpm)
Accuracy 99.1%
Points 437.86
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 poruepourepoured 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 taht thethat 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 303 86 115 98 75 91 59 65 59 43 59 67 77 66 66 64 112 133 51 50 95 6 62 38 80
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 58 73 48 83 48 75 96 73 104 22 63 142 37 113 47 68 49 108 49 98 35 43 80 89 81
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 87 93 74 66 73 46 68 91 43 43 86 40 83 59 64 91 82 70 128 72 103 70 38 49 48
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 92 52 37 118 36 55 51 118 65 86 38 53 57 93 59 71 80 70 21 69 68 85 41 29 29
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 96 28 59 58 61 44 67 46 131 99 39 101 69 84 75 74 46 92 49 64 48 79 48 94 136
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 128 46 50 59 60 72 71 96 65 67 133 58 20 81 47 58 54 77 78 111 126 65 72 71 95
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 40 48 35 90 37 105 115 65 96 54 90 132 79 103 40 133 26 47 66 35 79 25 96 41 51
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 171 45 167 92 75 74 58 71 71 75 53 71 81 71 58 35 87 110 51 43 47 88 33 105 28
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 59 60 100 59 31 94 51 13 79 75 77 101 44 138 80 82 40 50 71 71 60 34 62 61 72
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 82 86 81 53 69 107 127 51 121 43 129 33 46 99 71 71 51 80 66 60 68 56 97 48 139
Character t o f l i q u i d p o r u e -e p o u r e -p -o
Milliseconds 62 70 49 81 74 28 69 75 76 33 49 106 64 122 19 37 131 266 177 154 51 45 98 179 0
Character -r -u -p -o -u -r -e p o u r e d i n t o i t ? W e
Milliseconds 0 0 0 0 0 0 0 414 139 42 39 69 116 48 78 31 67 51 66 60 48 154 33 156 109
Character s e e c h a n g e o c c u r r i n g i n
Milliseconds 47 78 141 111 91 67 71 51 94 38 51 77 26 67 120 79 102 120 92 20 68 67 74 38 41
Character n e a r l y e v e r y t h i n g w e o b s e
Milliseconds 253 111 18 19 117 28 42 70 123 109 53 39 94 48 34 93 47 155 61 115 90 73 138 106 111
Character r v e i n t h e w o r l d a n d u n i v
Milliseconds 41 126 96 51 89 30 46 34 94 26 64 43 75 58 53 104 67 82 62 57 30 85 93 60 23
Character e r s e , a n d p o w e r f u l m o d e r n
Milliseconds 103 48 82 92 89 29 71 63 58 55 56 39 42 86 38 121 63 17 77 100 30 40 111 34 69
Character i n s t r u m e n t s h e l p u s s e e
Milliseconds 39 70 50 40 74 109 83 119 89 76 31 72 59 76 71 54 49 51 89 67 114 14 155 150 65
Character m o r e a n d m o r e . I n t h i s s e
Milliseconds 118 35 42 34 36 95 53 78 42 96 22 61 31 71 43 129 88 67 39 88 28 73 113 61 131
Character c t i o n w e i n t r o d u c e t h e i d
Milliseconds 118 108 56 107 45 45 70 89 63 80 49 35 107 45 107 52 88 118 48 106 52 97 19 32 94
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 112 44 108 42 52 121 86 59 106 144 59 165 95 67 95 59 79 39 80 89 30 40 65 72 58
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 35 101 72 108 101 61 110 82 44 60 80 21 100 41 65 45 67 61 75 37 94 18 47 97 43
Character a n d s h o w t a h t t h e -e -t -h -t -a -h -t -
Milliseconds 31 79 54 68 37 89 28 112 117 28 113 14 62 83 44 97 54 145 128 0 151 0 0 0 0
Character t h a t t h e y a r e c l o s e l y r e l
Milliseconds 180 67 53 63 44 76 63 87 11 61 64 38 38 48 80 46 42 48 105 42 30 43 39 52 89
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 20 63 47 128 56 111 41 52 69 65 64 49 48 58 46 105 85 65 37 62 68 59 81 67 74
Character r v e a t a p o i n t P o n t h e c
Milliseconds 39 97 72 76 77 60 51 45 116 132 154 48 23 47 74 149 93 95 49 23 61 73 41 59 62
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 92 48 123 42 58 35 75 108 65 88 99 50 41 65 31 77 55 304 132 133 146 112 90 113 108
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 61 68 109 50 141 76 84 25 89 49 36 26 77 49 90 9 92 114 49 122 30 62 109 67 112
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 64 61 147 105 67 92 25 89 108 58 67 70 44 99 32 25 34 103 57 53 59 59 103 126 79
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 56 63 71 77 56 80 75 37 23 77 57 73 60 68 66 39 116 89 34 41 69 68 129 42 68
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 63 105 53 95 52 47 74 58 48 94 45 92 80 93 61 40 73 95 92 81 43 106 68 19 31
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 91 61 98 43 70 21 55 97 117 102 50 57 136 115 113 91 29 45 67 43 77 57 60 29 38
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 71 40 94 65 75 58 59 55 68 33 39 121 40 49 47 71 47 32 101 34 41 100 38 95 33
Character i d e a o f t h i s c h a p t e r , t h
Milliseconds 42 64 51 106 41 71 24 69 70 66 44 20 72 74 64 65 58 56 85 76 59 65 24 54 79
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 56 52 37 60 103 32 90 92 42 78 92 48 62 34 91 105 67 21 28 61 90 38 106 62 63
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 100 45 54 82 21 110 60 86 72 85 70 95 28 77 50 103 46 51 58 33 33 38 93 69 79
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 45 80 87 63 69 33 102 54 62 52 39 101 48 74 40 92 59 16 333 118 95 136 38 84 52
WPM Timing
Seconds WPM
1.28 131.39
2.56 150.16
3.84 156.41
5.11 159.54
6.39 163.3
7.67 168.93
8.95 167.59
10.23 167.75
11.51 166.84
12.79 166.11
14.07 165.51
15.34 166.58
16.62 166.76
17.9 166.92
19.18 163.92
20.46 153.68
21.74 154.02
23.02 153.81
24.29 154.11
25.57 153.91
26.85 154.63
28.13 156.13
29.41 157.5
30.69 157.59
31.97 158.42
33.25 158.46
34.52 158.85
35.8 157.87
37.08 158.25
38.36 159.86
39.64 155.61
40.92 157.49
42.2 158.12
43.47 158.44
44.75 158.74
46.03 158.24
47.31 157.26
48.59 157.81
49.87 158.1
51.15 158.6
52.42 158.86
53.7 159.32
54.98 159.11
56.26 159.97
57.54 161.21
58.82 161.99
60.1 162.34
61.38 162.67
62.65 163.37
63.93 162.17