elongated (supreme10001)

Race #17248

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Official speed 146.89 wpm (70.58 seconds elapsed during race)
Without ending ping 147.35 wpm (222 ms delay sending score to TypeRacer’s server)
Timerless 148.82 wpm (694 ms elapsed before first character typed; 69.67 seconds elapsed during race)
Timerless minus one 148.65 wpm, ignoring the first character typed
Race Start February 1, 2024 3:49:44pm UTC
Race Finish February 1, 2024 3:50:54pm UTC
Outcome Win (1 of 3)
Accuracy 99.4%
Points 396.61
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 Clalculus 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 csee change occurring in nearly everything we observe in the world and universe, and powerful modern instruments helps us see more and more. In this section we introduce the ideas of average and instanteaneous rates of change, and show that they are closely related to the slope of a vucurve 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 l -l a l c u l u s i s a t o o l t h a t
Milliseconds 694 226 377 116 102 97 125 76 148 92 96 84 103 94 71 85 77 91 133 157 39 116 49 61 55
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 24 76 85 71 96 36 64 91 166 128 73 152 72 135 34 64 99 62 72 60 75 67 54 43 117
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 27 95 79 90 97 40 80 53 55 53 88 79 110 67 109 44 108 90 76 77 102 68 97 71 46
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 91 91 68 70 55 141 84 92 57 99 39 119 59 41 85 77 80 75 113 35 86 59 37 74 70
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 54 52 93 55 90 103 65 80 31 43 169 123 73 82 71 90 92 35 92 95 68 79 64 77 64
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 105 133 63 90 77 32 117 33 107 59 37 92 134 43 81 59 52 101 52 107 38 56 161 82 81
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 83 98 47 77 57 74 51 67 69 72 70 90 87 133 46 175 31 58 53 68 70 96 40 106 85
Character m e ? H o w d o e s t h e l e v e l o f
Milliseconds 69 59 261 168 158 153 86 90 86 51 86 51 56 93 75 63 56 73 40 72 80 77 56 117 75
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 54 60 68 69 93 80 48 77 59 41 60 79 68 96 94 114 64 106 41 62 100 111 45 64 63
Character a s a f u n c t i o n o f t h e a m o
Milliseconds 86 51 70 64 84 46 104 77 136 55 170 30 59 75 46 86 95 45 87 52 81 44 100 49 134
Character u n t o f l i q u i d p o u r e d i n t o
Milliseconds 101 144 48 84 74 59 55 89 178 27 382 100 103 82 67 159 106 105 48 52 44 72 80 64 84
Character i t ? W e c -c s e e c h a n g e o c c u
Milliseconds 53 99 60 161 56 98 149 95 81 269 65 129 123 57 106 84 133 0 104 84 42 78 79 132 80
Character r r i n g i n n e a r l y e v e r y t h i n
Milliseconds 90 127 69 64 87 47 65 88 33 97 86 34 46 85 24 63 49 63 138 79 65 91 67 81 43
Character g w e o b s e r v e i n t h e w o r l d
Milliseconds 85 92 69 58 49 72 48 124 55 72 145 59 69 75 82 39 91 75 59 61 77 73 78 81 63
Character a n d u n i v e r s e , a n d p o w e r f
Milliseconds 74 87 84 83 57 103 120 52 52 122 83 63 86 106 29 53 118 70 53 72 60 59 34 50 115
Character u l m o d e r n i n s t r u m e n t s h e l
Milliseconds 73 94 41 104 73 96 104 47 91 48 87 99 76 59 89 70 147 69 92 74 43 88 72 114 109
Character p s - -s u s s e e m o r e a n d m o r
Milliseconds 89 119 122 249 144 67 57 97 80 87 127 121 88 33 67 32 51 80 56 95 83 40 64 47 88
Character e . I n t h i s s e c t i o n w e i n t
Milliseconds 32 81 72 133 143 36 103 64 47 49 63 102 16 68 158 56 69 36 51 58 49 53 36 72 51
Character r o d u c e t h e i d e a s o f a v e r a
Milliseconds 71 90 86 84 90 75 98 99 76 48 67 63 36 126 35 84 84 64 85 60 72 73 115 82 65
Character g e a n d i n s t a n t e -e a n e o u s r a
Milliseconds 77 61 45 97 64 99 59 308 90 55 75 75 80 163 98 249 105 132 57 142 56 88 68 90 42
Character t e s o f c h a n g e , a n d s h o w t
Milliseconds 93 55 76 47 85 27 94 70 72 102 36 77 73 73 33 64 97 78 53 107 68 63 54 88 87
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 100 17 69 81 66 93 68 107 27 71 15 103 32 102 80 147 76 47 68 61 43 61 65 74 80
Character t e d t o t h e s l o p e o f a v u -u
Milliseconds 57 43 71 90 90 76 40 119 32 47 82 68 66 137 88 42 79 61 78 84 64 85 137 62 179
Character -v c u r v e a t a p o i n t P o n t h
Milliseconds 138 72 72 91 149 49 99 99 58 83 77 72 123 51 48 61 57 58 168 121 84 90 47 88 59
Character e c u r v e . W e g i v e p r e c i s e
Milliseconds 65 59 125 70 87 145 63 51 27 141 152 61 102 68 91 52 48 83 69 65 91 100 84 54 78
Character d e v e l o p m e n t s o f t h e s e i m p
Milliseconds 81 140 74 81 51 136 62 84 93 71 73 75 65 52 69 80 83 48 18 80 92 40 97 71 85
Character o r t a n t c o n c e p t s i n t h e n e
Milliseconds 80 68 71 82 72 85 76 82 75 74 58 21 103 74 63 85 80 68 59 64 82 62 68 80 20
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 147 155 73 87 73 106 72 63 109 76 46 35 88 129 59 90 60 108 68 95 41 63 21 115 50
Character e u s e a n i n f o r m a l a p p r o a c
Milliseconds 50 50 93 85 50 54 110 51 50 101 79 70 92 76 84 61 98 56 80 70 133 69 100 50 68
Character h s o y o u w i l l s e e h o w t h e
Milliseconds 83 52 82 65 51 108 80 65 53 75 94 134 140 36 104 131 128 99 52 65 44 114 47 96 45
Character y l e a d n a t u r a l l y t o t h e m
Milliseconds 122 36 109 57 40 93 107 72 75 42 85 68 53 63 121 39 60 89 55 66 79 73 58 65 77
Character a i n i d e a o f t h i s c h a p t e r ,
Milliseconds 94 72 55 31 90 58 98 64 58 63 85 65 93 43 53 67 60 109 58 94 64 88 111 80 69
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 31 83 87 36 40 102 66 69 108 121 94 39 124 47 82 67 52 85 112 41 75 73 68 65 51
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 104 57 71 77 129 74 70 30 80 68 120 81 64 87 96 48 95 65 118 43 52 77 79 52 53
Character a l r o l e t h r o u g h o u t c a l c u l
Milliseconds 51 104 73 64 63 150 66 56 68 77 63 85 59 80 74 91 69 29 88 75 41 97 36 130 77
Character u s .
Milliseconds 75 78 66
WPM Timing
Seconds WPM
1.41 8.5
2.82 68
4.24 93.51
5.65 108.38
7.06 117.31
8.47 123.26
9.88 131.15
11.29 131.76
12.71 135.06
14.12 136.86
15.53 136.01
16.94 137.43
18.35 139.28
19.76 140.26
21.18 141.11
22.59 139.2
24 139.51
25.41 136.95
26.82 138.25
28.23 139.83
29.65 140.87
31.06 141.42
32.47 142.29
33.88 140.61
35.29 140.09
36.7 140.91
38.12 142.31
39.53 142.99
40.94 140.99
42.35 141.39
43.76 142.32
45.17 143.18
46.59 143.99
48 142.26
49.41 142.57
50.82 142.62
52.23 142.67
53.64 143.39
55.06 144.07
56.47 144.08
57.88 144.72
59.29 144.91
60.7 144.71
62.11 145.09
63.53 145.83
64.94 146.17
66.35 146.5
67.76 146.64
69.17 146.94
70.58 146.89