BingYi (silverwildflower8)

Race #200

View Pit Stop page for race #200 by silverwildflower8 — Ghost race

View profile for BingYi (silverwildflower8)

Official speed 121.45 wpm (85.37 seconds elapsed during race)
Without ending ping 121.69 wpm (167 ms delay sending score to TypeRacer’s server)
Timerless 122.30 wpm (426 ms elapsed before first character typed; 84.78 seconds elapsed during race)
Timerless minus one 122.16 wpm, ignoring the first character typed
Race Start August 31, 2023 5:02:40pm UTC
Race Finish August 31, 2023 5:04:06pm UTC
Outcome Win (1 of 5)
Opponents 2. ducktraining (107.07 wpm)
4. iceposident (85.22 wpm)
Accuracy 98.4%
Points 327.93
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 tat hhat helps us understand how a change in one quantity is related to a change in another. Howe d does the speed of a falling objectch change as as fun function of time? How does the level wofof water in a barrel change as a function of theamou amount of liquid poured into it? We see change occuring ring 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 instanteaaneous rages oftes f 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 development sof ths of these important concepts in the next chapter, but for now we huse an informal approach so you will see how they lead naturally to th mae main idea of this chapter, the limit. The idea ioof 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 a t h -h
Milliseconds 426 166 89 86 100 72 73 58 76 69 66 52 84 68 68 93 131 82 68 85 151 35 17 45 344
Character - -t -a h a t h e l p s u s u n d e r s t a n
Milliseconds 116 163 127 212 84 28 45 57 72 102 115 71 75 71 56 60 29 145 52 105 57 87 72 14 71
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 44 70 50 61 30 70 85 67 67 69 68 50 34 70 34 50 68 68 134 69 63 110 64 70 102
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 85 116 53 84 118 87 64 71 77 56 54 44 150 88 59 109 87 42 58 61 89 70 99 53 82
Character n g e i n a n o t h e r . H o w e d -d - -e
Milliseconds 35 50 67 37 77 62 47 66 69 33 81 67 44 73 78 79 131 144 28 88 111 118 248 118 164
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 304 139 24 86 58 15 114 44 114 146 565 41 110 86 84 87 50 73 59 85 52 86 29 70 136
Character i n g o b j e c t c h -h -c c h a n g e a s
Milliseconds 35 68 33 70 659 57 104 63 84 197 175 55 303 127 140 91 52 134 20 31 86 34 68 67 38
Character a s f u n -n -u -f - -s f u n c t i o n o f t
Milliseconds 98 18 34 85 83 119 320 111 145 161 157 698 124 49 140 83 157 13 47 35 35 83 69 51 32
Character i m e ? H o w d o e s t h e l e v e l w
Milliseconds 69 50 50 172 50 153 170 104 67 210 64 32 51 71 82 32 105 35 51 66 69 67 84 20 82
Character o f -f -o -w o f w a t e r i n a b a r r e l
Milliseconds 85 118 263 95 138 180 73 70 31 102 34 111 47 35 14 69 69 100 35 102 79 125 117 71 32
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 35 101 50 102 34 85 68 19 134 33 36 118 36 83 84 136 68 118 71 81 17 71 50 85 52
Character t h e a m o u -u -o -m -a a m o u n t o f l i q
Milliseconds 67 50 68 136 68 68 137 279 124 134 143 131 136 73 55 118 142 12 87 83 50 34 68 49 86
Character u i d p o u r e d i n t o i t ? W e s e
Milliseconds 68 65 55 74 50 135 68 52 372 128 67 26 67 67 69 72 63 103 210 45 135 153 157 116 181
Character e c h a n g e o c c u r i n g - -g -n -i r i n
Milliseconds 86 52 100 51 101 51 33 69 20 48 118 121 50 84 70 66 35 103 417 115 172 136 134 80 67
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 105 30 51 83 53 69 32 69 34 43 116 60 73 104 150 35 75 103 68 35 33 87 68 84 50
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 102 52 101 172 66 68 196 60 137 1222 44 31 67 84 43 72 82 68 67 107 101 45 140 33 119
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 20 70 142 30 135 51 70 76 86 30 83 112 69 83 72 49 119 83 52 66 139 85 70 101 85
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 50 69 118 52 66 73 13 92 118 51 131 64 156 102 48 79 40 43 57 82 68 136 18 86 43
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 122 31 153 85 136 16 78 27 29 76 89 68 32 70 50 34 69 12 115 68 128 153 74 63 40
Character i s s e c t i o n w e i n t r o d u c e t
Milliseconds 42 97 52 86 67 136 169 35 58 14 88 31 34 90 128 68 188 145 80 119 28 102 51 70 99
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 53 47 77 49 50 135 52 85 89 47 135 128 117 102 139 85 85 64 52 50 101 69 15 54 66
Character n s t a n t e a -a -e a n e o u s r a g e s o f
Milliseconds 52 69 67 72 83 68 81 90 306 111 63 111 159 97 67 50 105 117 79 131 12 63 74 11 134
Character -f -o - -s -e -g t e s f - -f o f c h a n g e ,
Milliseconds 310 134 165 148 156 132 134 22 26 29 157 53 303 133 219 109 36 103 51 66 69 51 68 69 100
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 52 86 48 72 48 50 69 32 90 49 73 70 32 74 57 88 52 63 80 56 37 34 60 110 34
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 153 52 49 102 119 88 107 68 83 132 34 59 81 87 100 48 62 26 100 28 51 83 396 156 85
Character e o f a c u r v e a t a p o i n t P
Milliseconds 79 110 24 64 73 46 70 49 102 85 136 50 57 97 50 34 109 36 67 154 49 51 51 77 121
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 123 64 85 36 61 71 58 57 36 99 84 135 51 52 50 170 217 22 116 53 84 50 34 51 67
Character e c i s e d e v e l o p m e n t s o f t h -h
Milliseconds 68 135 69 69 84 105 354 121 112 82 47 122 140 668 94 65 82 126 12 48 118 20 117 32 270
Character -t - -f -o -s - s o f t h e s e i m p o r t a n
Milliseconds 130 136 178 133 144 174 175 62 78 51 89 79 21 41 75 100 19 50 118 51 50 69 103 116 11
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 147 72 115 100 58 63 67 68 118 51 36 50 85 34 67 77 80 53 66 84 137 240 99 160 48
Character a p t e r , b u t f o r n o w w e h -h u
Milliseconds 102 69 101 121 50 70 72 101 69 84 71 99 68 50 86 33 67 33 190 101 50 122 49 336 159
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 41 71 47 99 52 102 32 69 102 87 32 119 102 68 86 100 86 117 113 68 135 85 67 88 62
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 79 86 67 53 48 34 52 87 171 103 69 65 154 100 150 8 46 51 104 48 87 44 67 93 128
Character e a d n a t u r a l l y t o t h m a -a -m -
Milliseconds 58 73 101 104 16 85 69 91 74 57 89 101 93 119 97 69 50 68 67 88 82 117 297 135 144
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 298 58 55 115 58 72 44 57 97 118 52 69 50 50 87 81 60 43 59 69 100 67 16 138 33
Character e r , t h e l i m i t . T h e i d e a i
Milliseconds 151 59 102 73 223 36 127 21 65 84 101 69 85 106 83 197 100 87 109 84 68 117 71 50 84
Character o -o -i o f a l i m i t p l a y s a f o u
Milliseconds 85 262 150 186 93 26 99 59 116 51 101 34 122 71 67 58 52 69 234 193 103 91 80 67 86
Character n d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 117 68 84 52 34 16 53 99 52 89 80 52 85 79 88 47 97 47 33 67 66 82 31 87 15
Character c a l c u l u s .
Milliseconds 141 133 68 32 102 53 79 72 72 91
WPM Timing
Seconds WPM
1.71 112.45
3.41 84.34
5.12 114.8
6.83 126.51
8.54 134.94
10.24 130.02
11.95 121.49
13.66 123
15.37 115.58
17.07 111.05
18.78 108.62
20.49 111.87
22.2 110.29
23.9 114.96
25.61 114.33
27.32 113.77
29.03 114.52
30.73 115.58
32.44 112.45
34.15 115.26
35.85 111.78
37.56 113.41
39.27 115.2
40.98 116.85
42.68 118.64
44.39 119.75
46.1 120.78
47.81 120.74
49.51 118.75
51.22 115.73
52.93 117.89
54.64 119.26
56.34 119.91
58.05 120.93
59.76 121.69
61.47 120.65
63.17 118.15
64.88 118.19
66.59 119.12
68.29 119.48
70 119.31
71.71 119.65
73.42 120.63
75.12 121.08
76.83 119.79
78.54 120.55
80.25 120.68
81.95 120.36
83.66 120.77
85.37 121.45