nikhil (forceablebean6)

Race #5715

View Pit Stop page for race #5715 by forceablebean6 — Ghost race

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Official speed 126.31 wpm (82.08 seconds elapsed during race)
Without ending ping 126.64 wpm (215 ms delay sending score to TypeRacer’s server)
Timerless 127.15 wpm (328 ms elapsed before first character typed; 81.54 seconds elapsed during race)
Timerless minus one 127.00 wpm, ignoring the first character typed
Race Start July 11, 2024 7:05:20am UTC
Race Finish July 11, 2024 7:06:42am UTC
Outcome Win (1 of 4)
Opponents 2. lacr1m0sa (123.88 wpm)
3. herofent (90.31 wpm)
Accuracy 98.5%
Points 341.03
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 quanitttity is related to a change in another. How does the psspeed of a fiaalling object change as a function of time? GoHow 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 htethe world and universe, and powerful modern instruments uhelp us see more and more. In this section we introduce the ideas of average and instanteaaneous vrates of change, and hsshow 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 theo the main idea of this chatppter, 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 328 131 62 107 141 155 118 76 109 66 80 104 64 126 49 41 148 114 69 56 89 35 81 68 26
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 108 82 67 109 59 67 100 95 74 111 92 81 97 91 114 92 74 109 68 39 93 59 51 113 138
Character c h a n g e i n o n e q u a n i t t -t -t -i t
Milliseconds 193 74 172 76 103 111 12 24 53 116 50 77 57 94 89 116 89 72 118 46 182 235 159 154 119
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 121 72 114 102 114 84 100 80 106 46 66 123 106 59 73 99 24 115 79 123 66 64 116 64 75
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 92 33 43 48 97 20 87 93 53 96 62 54 91 25 176 98 90 87 73 96 170 244 162 74 65
Character e p s -s -p s p e e d o f a f i a -a -i a l l
Milliseconds 55 72 94 15 353 149 78 104 65 123 63 74 100 68 72 51 113 23 113 9 321 149 89 101 130
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 141 57 22 62 68 101 98 55 99 170 64 111 109 93 96 57 95 71 70 48 115 64 120 61 64
Character n c t i o n o f t i m e ? G o -o -G H o w d
Milliseconds 96 31 158 25 51 43 57 117 78 71 65 52 95 70 353 150 185 120 260 161 312 93 74 66 50
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 143 15 112 134 59 96 64 66 94 62 124 101 56 70 103 83 59 72 53 144 81 69 50 49 47
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 113 65 126 69 93 81 137 149 73 96 61 73 119 26 82 126 65 65 62 104 83 105 45 92 73
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 48 159 37 58 58 42 119 52 77 61 42 54 72 70 40 109 85 67 49 54 69 66 85 69 103
Character q u i d p o u r e d i n t o i t ? W e s
Milliseconds 76 118 118 39 100 56 120 176 23 119 45 45 70 56 114 81 135 50 114 195 44 62 102 84 79
Character e e c h a n g e o c c u r r i n g i n n e
Milliseconds 102 130 91 128 66 86 67 58 110 28 74 107 138 51 134 116 69 52 84 81 66 52 116 107 111
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 93 86 99 76 73 61 139 126 44 126 56 126 112 61 32 87 68 50 75 56 95 105 93 53 170
Character e i n h t e -e -t -h t h e w o r l d a n d
Milliseconds 129 69 51 50 155 58 69 139 217 159 163 90 68 98 70 66 87 96 77 84 47 59 61 85 56
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 42 76 117 39 179 91 112 77 115 150 58 74 93 46 83 112 75 22 55 127 65 150 122 64 133
Character d e r n i n s t r u m e n t s u -u h e l p u
Milliseconds 72 63 104 70 130 76 65 121 119 103 44 107 115 112 89 124 109 152 232 191 109 68 65 72 128
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 61 56 108 99 145 80 61 74 50 61 62 55 54 83 65 52 64 49 35 132 68 113 82 62 74
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 52 65 71 68 91 68 145 164 22 41 63 70 47 68 97 112 89 56 98 75 115 56 118 97 54
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 66 37 74 74 41 72 89 114 61 77 93 44 84 85 150 126 82 90 89 105 71 48 62 117 85
Character i n s t a n t e a -a -e a n e o u s v -v r a t e s
Milliseconds 0 98 102 108 82 78 82 127 202 198 152 76 105 107 98 77 124 84 157 217 72 78 93 96 68
Character o f c h a n g e , a n d h s -s -h s h o w
Milliseconds 60 100 44 76 113 45 139 73 69 124 55 80 74 60 90 67 50 52 278 146 124 85 87 60 97
Character t h a t t h e y a r e c l o s e l y r e l
Milliseconds 54 61 71 64 118 44 41 131 55 134 70 102 88 48 108 48 99 77 51 107 79 89 65 73 101
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 67 91 100 61 69 119 36 85 48 56 75 69 84 92 153 69 119 73 118 106 64 63 111 46 103
Character r v e a t a p o i n t P o n t h e c
Milliseconds 94 133 115 47 69 92 83 65 117 38 65 146 36 64 58 113 132 174 109 84 80 87 117 99 100
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 78 90 139 142 75 65 101 117 70 101 53 101 107 56 77 59 93 120 124 80 65 99 113 108 145
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 117 49 119 49 129 80 95 48 110 41 85 105 47 74 57 80 160 95 120 57 140 70 62 57 53
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 86 61 64 112 73 59 69 194 101 84 74 107 80 71 55 98 30 67 102 84 58 49 154 209 49
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 115 87 437 267 100 108 53 63 69 139 58 95 77 91 22 116 45 57 81 81 71 93 22 117 114
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 84 54 79 102 84 113 60 89 68 82 97 87 88 89 108 72 148 141 105 99 55 115 118 102 76
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 70 94 104 124 47 82 50 68 134 143 71 15 84 136 92 75 95 79 75 83 63 84 111 194 276
Character e a d n a t u r a l l y t h e -e -h o t h e
Milliseconds 73 60 89 40 52 84 99 92 52 91 64 132 30 111 39 67 104 321 169 140 138 7 103 68 88
Character m a i n i d e a o f t h i s c h a t p -p -t
Milliseconds 53 115 69 33 90 100 93 92 71 73 30 102 97 65 18 115 69 49 73 92 89 104 16 343 156
Character p t e r , t h e l i m i t . T h e i d e a
Milliseconds 104 44 123 40 84 84 50 63 69 74 48 31 139 117 102 115 75 90 84 84 91 6 86 135 93
Character o f a l i m i t p l a y s a f o u n d
Milliseconds 72 82 74 128 98 99 51 46 133 124 80 65 49 136 52 148 113 78 51 119 53 18 53 102 49
Character a t i o n a l r o l e t h r o u g h o u t c
Milliseconds 116 128 37 74 62 94 100 89 49 51 126 89 45 74 40 139 52 97 152 70 116 51 72 58 116
Character a l c u l u s .
Milliseconds 21 112 321 138 139 84 111 103
WPM Timing
Seconds WPM
1.64 95.02
3.28 124.26
4.93 126.7
6.57 124.26
8.21 115.49
9.85 123.04
11.49 121.13
13.13 118.78
14.78 116.14
16.42 117.68
18.06 117.62
19.7 113.91
21.34 116.95
22.98 118.52
24.63 121.83
26.27 123.81
27.91 123.4
29.55 124.67
31.19 125.8
32.83 123.17
34.48 123.92
36.12 124.26
37.76 124.26
39.4 123.04
41.04 125.14
42.68 125.67
44.33 126.7
45.97 125.57
47.61 124.52
49.25 124.02
50.89 124.5
52.53 125.63
54.18 125.59
55.82 125.98
57.46 125.93
59.1 125.89
60.74 126.63
62.38 127.15
64.03 125.95
65.67 126.46
67.31 126.58
68.95 126.7
70.59 126.64
72.23 125.76
73.88 126.54
75.52 126.01
77.16 126.13
78.8 126.55
80.44 126.95
82.08 126.31