Laura (viscoseoce)

Race #3520

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Official speed 125.07 wpm (82.90 seconds elapsed during race)
Without ending ping 125.71 wpm (327 ms delay sending score to TypeRacer’s server)
Timerless 126.06 wpm (232 ms elapsed before first character typed; 82.34 seconds elapsed during race)
Timerless minus one 125.92 wpm, ignoring the first character typed
Race Start November 12, 2023 3:43:03am UTC
Race Finish November 12, 2023 3:44:26am UTC
Outcome No win (2 of 5)
Opponents 1. famboy32 (135.64 wpm)
3. davidbird764 (115.90 wpm)
4. bb__ (109.07 wpm)
Accuracy 97.9%
Points 337.70
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 Calcuolus is a tool that helps us understand how a cohange 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 leevel of water in a barrel chahngnge as a function of the amount of liquid proured into it? We see change cococcurring in nearly everything we obsreverve in the world and universe, and powerful modnrern instruments help us see more and more. In this section we introduce the ideas of average and instantaeneous rates of change, and show that they are closely related to the slofpe of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but for newow we use an informal approach so you will see how theyi lead naturally to the main idea of this chapter, the lyimit. The idea of a limeit plays a foundational rol the throughout calcuellus./
Timing
Character C a l c u o -o l u s i s a t o o l t h a t
Milliseconds 232 138 107 86 117 6 267 236 204 67 114 135 62 82 60 61 72 68 111 150 100 56 76 42 61
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 41 114 134 43 33 36 80 87 62 62 96 115 74 53 76 44 63 110 71 62 60 125 34 25 118
Character a c o -o h a n g e i n o n e q u a n t i t
Milliseconds 54 101 71 122 335 176 61 65 78 44 118 91 46 124 100 114 61 106 84 42 109 66 111 92 93
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 108 156 96 69 46 159 49 46 73 77 86 87 94 94 66 109 93 56 87 70 61 83 103 36 138
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 92 53 125 84 55 58 26 93 139 0 146 144 178 176 95 73 77 57 122 97 51 97 46 47 126
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 34 58 42 112 84 35 109 60 83 71 69 83 39 44 112 137 52 68 58 96 47 161 117 46 125
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 27 119 34 92 49 75 65 124 50 75 36 90 58 98 77 121 41 121 43 43 122 123 97 35 92
Character t i m e / -/ ? H o w d o e s t h e l e e -e
Milliseconds 29 93 122 41 168 284 131 128 143 114 77 73 64 58 131 53 82 66 73 44 143 131 86 287 254
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 86 72 36 117 87 56 53 89 59 55 65 99 70 129 58 129 44 67 127 69 129 103 62 50 109
Character c h a h n g -g -n -h n g e a s a f u n c t i o
Milliseconds 78 59 65 75 6 58 193 131 113 143 71 74 129 67 85 76 62 74 74 89 136 39 157 42 52
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 108 128 84 14 134 9 126 40 164 77 66 128 34 138 64 90 132 44 65 124 115 99 90 52 95
Character p r -r o u r e d i n t o i t ? W e s e e
Milliseconds 98 93 137 265 168 43 31 126 55 72 83 42 75 39 104 86 35 138 144 109 72 103 90 35 104
Character c h a n g e c o c -c -o -c o c c u r r i n g i
Milliseconds 99 56 146 22 191 55 106 128 99 31 104 271 114 99 154 57 124 91 68 127 64 36 80 55 89
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 53 121 164 55 46 34 108 124 99 98 45 64 71 58 78 64 99 47 62 70 86 54 123 108 38
Character s r e v -v -e -r e r v e i n t h e w o r l d
Milliseconds 65 125 67 144 136 123 114 142 34 80 48 118 89 46 120 54 69 27 132 53 69 80 85 90 118
Character a n d u n i v e r s e , a n d p o w e r f u
Milliseconds 93 85 112 25 99 141 60 84 77 60 56 30 127 113 59 80 35 101 188 88 57 96 69 128 50
Character l m o d n r -r -n e r n i n s t r u m e n t s
Milliseconds 159 120 135 37 35 114 13 352 120 118 83 49 118 125 30 69 53 79 63 147 220 36 92 50 48
Character h e l p u s s e e m o r e a n d m o r e
Milliseconds 118 138 38 57 75 88 63 59 89 48 122 107 166 27 132 26 137 70 87 60 70 122 30 54 84
Character . I n t h i s s e c t i o n w e i n t r
Milliseconds 125 115 133 145 135 61 65 46 45 71 78 42 81 131 3 43 115 120 80 46 125 114 40 66 42
Character o d u c e t h e i d e a s o f a v e r a g
Milliseconds 73 79 130 62 115 119 117 47 43 115 94 62 132 68 68 84 99 41 86 62 75 124 64 132 58
Character e a n d i n s t a n t a e -e n e o u s r a t
Milliseconds 69 116 89 73 89 74 101 38 64 45 148 134 36 189 330 302 151 47 167 38 92 86 102 95 54
Character e s o f c h a n g e , a n d s h o w t h
Milliseconds 97 119 86 93 67 48 105 38 106 48 87 54 121 111 20 111 39 89 56 69 26 56 89 47 95
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 35 44 97 44 96 38 127 132 188 65 70 110 104 56 58 53 85 40 141 127 96 103 55 37 55
Character e d t o t h e s l o f -f p e o f a c u
Milliseconds 66 75 74 64 52 98 70 87 42 124 70 72 54 133 220 155 74 118 90 50 75 59 57 85 69
Character r v e a t a p o i n t P o n t h e c
Milliseconds 73 72 85 124 26 59 58 96 285 72 60 152 49 43 103 100 84 112 58 118 75 60 36 113 55
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 74 60 70 51 132 122 91 95 91 74 68 75 52 126 60 52 52 81 75 81 59 125 80 54 87
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 33 117 142 85 74 111 52 71 46 51 101 48 64 72 61 27 62 46 113 121 33 73 119 60 94
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 102 85 54 94 76 31 48 148 180 87 141 78 20 109 68 121 85 57 36 113 129 33 14 56 78
Character c h a p t e r , b u t f o r n e w -w -e o w
Milliseconds 72 78 58 67 132 28 121 31 120 136 35 70 70 88 174 248 128 207 50 57 295 116 154 55 62
Character w e u s e a n i n f o r m a l a p p r o a
Milliseconds 52 63 107 98 66 65 118 82 57 121 104 60 83 106 99 93 75 85 107 44 130 157 283 83 83
Character c h s o y o u w i l l s e e h o w t h
Milliseconds 88 35 117 83 61 93 130 132 43 132 65 53 132 102 113 25 84 99 104 142 27 55 98 56 82
Character e y i -i l e a d n a t u r a l l y t o t h
Milliseconds 23 142 7 301 216 155 48 56 43 45 126 49 45 89 66 132 39 101 85 127 69 50 115 69 80
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 28 112 119 89 46 45 125 100 85 64 68 75 121 56 78 98 71 47 84 76 106 84 80 153 227
Character e r , t h e l y -y i m i t . T h e i d e a
Milliseconds 150 47 121 93 67 96 33 134 131 0 340 171 72 90 133 116 121 107 61 37 114 122 82 80 64
Character o f a l i m e -e i t p l a y s a f o u
Milliseconds 68 98 0 151 311 59 134 144 120 46 277 157 86 49 78 43 77 55 111 113 76 50 82 54 51
Character n d a t i o n a l r o l t h -h -t - e t h r o
Milliseconds 126 66 72 103 87 35 134 248 101 128 126 110 171 128 112 60 233 112 119 109 137 79 55 78 56
Character u g h o u t c a l c u e l -l -e l u s . /
Milliseconds 59 50 81 110 27 58 105 71 74 9 94 67 160 18 226 120 90 154 70 89 0
WPM Timing
Seconds WPM
1.66 65.14
3.32 112.19
4.97 123.04
6.63 121.23
8.29 123.04
9.95 127.87
11.61 128.21
13.26 131.19
14.92 134.3
16.58 130.28
18.24 126.99
19.9 128.47
21.55 125.83
23.21 127.18
24.87 126.9
26.53 126.66
28.19 124.32
29.84 124.25
31.5 125.33
33.16 124.13
34.82 125.11
36.47 124.03
38.13 123.67
39.79 124.25
41.45 125.36
43.11 125.83
44.76 126.53
46.42 124.85
48.08 125.54
49.74 126.42
51.4 127.48
53.05 127.11
54.71 127.43
56.37 127.94
58.03 128.63
59.69 129.68
61.34 130.09
63 129.71
64.66 128.8
66.32 128.47
67.98 128.52
69.63 128.21
71.29 128.6
72.95 128.64
74.61 127.87
76.27 127.76
77.92 127.2
79.58 126.96
81.24 126.15
82.9 125.07