ehsaas (_ehsaas_gupta)

Race #77269

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Official speed 135.91 wpm (76.29 seconds elapsed during race)
Without ending ping 136.28 wpm (208 ms delay sending score to TypeRacer’s server)
Timerless 136.86 wpm (320 ms elapsed before first character typed; 75.76 seconds elapsed during race)
Timerless minus one 136.70 wpm, ignoring the first character typed
Race Start February 1, 2025 9:44:09am UTC
Race Finish February 1, 2025 9:45:25am UTC
Outcome No win (2 of 3)
Opponents 1. lufle (139.09 wpm)
Accuracy 98.7%
Points 366.96
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 nof timof time? How does the level of water in a barrel change as a function of the amount of liquid poured ninto 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 instantaenoneous rates of change, and show that they are cosely closely related to the sloep ofp[e e of a curve at a point P on the curve. We tgivegive precise developments of these important concepts onin the next chapter, but for now ewwe use an informal approach s oo you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a lmiimit 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 320 70 81 102 130 332 77 92 101 74 59 84 85 72 76 84 109 164 81 65 72 60 36 43 36
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 105 80 118 84 69 37 77 73 68 124 67 125 48 131 80 52 83 85 101 99 50 86 65 79 86
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 73 65 62 83 22 78 50 70 34 82 70 51 48 87 58 89 81 82 72 88 79 78 57 45 64
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 59 63 51 54 73 53 80 120 49 99 51 37 71 98 62 71 46 83 18 74 45 63 50 68 22
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 100 45 82 54 64 67 37 52 132 80 64 78 92 66 86 48 47 87 79 62 65 95 45 118 140
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 145 34 50 58 77 232 133 85 48 70 117 38 79 24 82 42 104 86 87 139 89 81 86 98 17
Character n g e a s a f u n c t i o n n o f t i m
Milliseconds 120 53 100 61 66 84 54 109 89 81 101 104 83 113 51 18 17 104 32 28 58 69 110 33 40
Character -t -i -m -n -o -f - o f t i m e ? H o w d o e s
Milliseconds 254 0 0 137 0 0 0 474 111 50 107 13 32 106 374 99 373 117 72 94 97 60 94 65 36
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 98 59 75 55 16 84 115 38 75 57 78 50 87 79 98 36 101 67 38 65 76 74 46 83 100
Character a r r e l c h a n g e a s a f u n c t i o
Milliseconds 71 86 135 139 121 52 72 78 55 77 52 54 81 69 86 60 95 84 77 94 117 86 95 60 35
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 11 99 55 35 96 78 68 33 88 83 96 115 43 123 40 89 40 54 82 35 56 41 100 43 80
Character p o u r e d n -n i n t o i t ? W e s e e
Milliseconds 97 156 163 47 83 50 136 45 87 364 176 45 69 114 66 86 77 204 67 138 92 87 102 97 119
Character c h a n g e o c c u r r i n g i n n e a r
Milliseconds 106 92 88 47 82 84 85 69 47 84 134 84 85 136 49 30 82 52 50 51 82 71 62 50 53
Character l y e v e r y t h i n g w e o b s e r v e
Milliseconds 32 47 83 40 104 75 100 24 126 49 70 66 38 80 97 59 45 46 102 126 39 69 147 100 90
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 52 65 81 82 71 60 70 56 64 55 92 56 75 70 62 70 76 34 113 76 42 85 43 99 54
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 85 35 50 80 63 50 39 116 55 27 19 129 68 125 58 74 63 79 135 70 63 64 71 40 77
Character t r u m e n t s h e l p u s s e e m o r e
Milliseconds 16 117 66 133 53 83 65 90 34 26 104 68 117 63 81 81 77 97 127 135 73 35 77 19 40
Character a n d m o r e . I n t h i s s e c t i o
Milliseconds 50 67 76 73 63 34 79 48 39 97 43 126 117 82 49 68 17 67 58 92 116 140 119 45 31
Character n w e i n t r o d u c e t h e i d e a s
Milliseconds 21 94 89 87 32 180 49 89 135 25 121 84 81 140 80 111 50 83 48 35 82 109 64 106 78
Character o f a v e r a g e a n d i n s t a n t a e n
Milliseconds 49 65 73 77 117 107 101 30 148 99 50 83 64 72 48 41 51 76 31 51 81 83 70 196 122
Character o -o -n -e n e o u s r a t e s o f c h a n g e
Milliseconds 201 165 148 142 162 46 104 32 68 85 295 103 99 104 56 76 40 63 81 107 59 56 84 18 63
Character , a n d s h o w t h a t t h e y a r e
Milliseconds 96 19 33 86 67 82 81 83 23 96 118 82 83 48 37 66 73 64 65 68 28 69 58 38 51
Character c o s e l y -c -o -s -e -l -y - c l o s e l y r e l
Milliseconds 102 164 77 18 92 64 69 232 0 0 0 0 0 0 136 67 100 85 30 71 40 79 34 34 78
Character a t e d t o t h e s l o e p o f -f -o - -p -e
Milliseconds 70 56 65 144 65 75 60 35 69 83 18 109 44 97 129 133 40 113 83 48 148 134 159 144 147
Character p [ e - -e -[ e o f a c u r v e a t a
Milliseconds 179 22 88 114 232 139 145 94 90 43 96 72 76 98 103 98 65 158 95 47 86 82 37 89 100
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 77 164 48 45 49 80 166 85 103 68 94 87 63 65 41 111 55 92 152 64 107 78 117 137 122
Character t g i v e -t -g -i -v -e g i v e p r e c i s e d e
Milliseconds 125 0 102 84 67 301 0 0 0 0 137 62 86 47 84 35 71 35 151 98 79 50 82 92 131
Character v e l o p m e n t s o f t h e s e i m p o r
Milliseconds 112 47 86 118 152 147 67 85 69 80 59 56 54 70 87 58 51 116 51 97 68 51 84 125 64
Character t a n t c o n c e p t s o n -o -n i n t h e
Milliseconds 128 98 59 77 103 146 84 40 78 131 71 74 146 120 117 84 474 0 169 54 97 57 79 63 42
Character n e x t c h a p t e r , b u t f o r n o w
Milliseconds 42 84 167 133 96 118 70 88 101 81 116 65 35 36 69 63 97 51 90 79 70 60 23 33 67
Character e w -w -e w e u s e a n i n f o r m a l a
Milliseconds 86 109 5 379 138 113 30 87 85 57 49 109 83 90 63 48 67 51 72 77 91 93 125 74 93
Character p p r o a c h s o -o - o y o u w i l l s
Milliseconds 111 107 107 87 63 89 84 64 90 115 0 408 128 191 93 112 110 35 71 51 66 121 117 48 98
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 115 117 69 45 24 77 51 84 49 85 50 66 73 49 80 91 74 81 84 70 40 90 36 34 115
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 60 90 118 57 82 71 83 31 81 38 61 56 42 99 22 80 120 31 70 37 65 76 85 33 34
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 49 65 91 80 64 85 84 123 42 51 34 92 73 55 52 43 32 55 123 91 141 62 138 62 68
Character i d e a o f a l m i -i -m i m i t p l a y
Milliseconds 55 33 93 116 52 41 39 68 69 69 98 16 68 124 258 137 197 88 94 101 106 65 117 54 101
Character s a f o u n d a t i o n a l r o l e t h r
Milliseconds 77 91 76 101 129 59 34 111 49 58 60 50 14 21 131 133 87 63 69 131 67 68 66 37 73
Character o u g h o u t c a l c u l u s .
Milliseconds 76 25 73 77 97 49 76 70 83 50 33 135 91 139 61 92 101
WPM Timing
Seconds WPM
1.53 94.38
3.05 121.91
4.58 131.09
6.1 141.57
7.63 151.01
9.15 154.68
10.68 151.69
12.21 152.39
13.73 146.82
15.26 138.43
16.78 137.28
18.31 139.61
19.83 139.76
21.36 142.13
22.89 141.05
24.41 138.62
25.94 138.8
27.46 141.57
28.99 142.4
30.51 144.33
32.04 144.94
33.57 145.86
35.09 147.04
36.62 146.82
38.14 146.92
39.67 145.81
41.19 143.03
42.72 144.38
44.25 143.2
45.77 143.67
47.3 140.56
48.82 137.89
50.35 138
51.87 137.87
53.4 136.18
54.93 135.89
56.45 136.47
57.98 134.95
59.5 134.51
61.03 134.69
62.55 134.67
64.08 133.71
65.61 132.98
67.13 134.07
68.66 135.11
70.18 136.1
71.71 136.05
73.23 135.18
74.76 135.95
76.29 135.91