The Real League of Typists - YouTube (krux_254)

Race #7584

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Official speed 124.96 wpm (82.97 seconds elapsed during race)
Without ending ping 126.21 wpm (825 ms delay sending score to TypeRacer’s server)
Timerless 126.35 wpm (90 ms elapsed before first character typed; 82.06 seconds elapsed during race)
Timerless minus one 126.21 wpm, ignoring the first character typed
Race Start February 11, 2025 4:41:18pm UTC
Race Finish February 11, 2025 4:42:41pm UTC
Outcome Win (1 of 3)
Opponents 2. shuaibabrar (85.81 wpm)
Accuracy 98.8%
Points 337.40
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 Calcuslus is a tool that haelps us understand how a c hangechange in one quantity is related to a c hangchange in another. How does the speed ofa a falling object change as a funciton funcitontition of time? How does the level of water in a barerl rel 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 curgeve 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 throutghout calculus.
Timing
Character C a l c u s -s l u s i s a t o o l t h a t
Milliseconds 90 366 96 123 99 148 467 179 44 46 80 74 60 79 60 94 56 82 109 135 53 30 52 53 76
Character h a -a e l p s u s u n d e r s t a n d h o
Milliseconds 18 68 104 437 34 125 105 95 81 67 103 80 70 147 55 115 63 141 50 79 55 91 79 61 46
Character w a c h a n g e -h -a -n -g -e -c - c h a n g e
Milliseconds 47 62 74 77 107 13 48 69 75 60 69 234 0 0 0 0 97 0 137 77 117 57 81 68 78
Character i n o n e q u a n t i t y i s r e l a t e
Milliseconds 38 30 103 90 42 65 69 90 77 127 85 116 0 500 103 121 82 101 70 152 41 87 110 67 54
Character d t o a c h a n g -h -a -n -g -c - c h a n g e
Milliseconds 126 92 54 87 96 104 80 140 5 68 73 76 41 306 0 0 0 93 0 108 92 96 43 77 89
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 106 131 68 53 82 54 48 93 59 64 49 88 62 163 126 31 90 87 72 76 133 33 53 108 109
Character s p e e d o f a - -a a f a l l i n g o
Milliseconds 92 58 52 100 101 138 57 68 54 364 29 411 100 34 107 101 125 79 52 131 63 52 73 13 148
Character b j e c t c h a n g e a s a f u n c i t o
Milliseconds 87 74 88 70 149 45 132 50 108 42 71 63 75 82 87 38 79 88 41 82 155 47 177 18 0
Character n -f -u -n -c -i -t -o -n - f u n c i t o n -n -o -t t i -i
Milliseconds 83 71 331 0 0 0 0 0 0 0 0 256 61 197 67 231 0 15 110 334 116 98 129 99 303
Character -t -i t i o n o f t i m e ? H o w d o e s
Milliseconds 86 88 159 83 13 66 6 135 43 77 83 22 40 65 241 92 138 127 68 65 85 50 86 127 72
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 47 23 106 46 115 41 125 79 59 57 88 72 73 97 72 70 113 66 47 87 35 61 53 106 77
Character a r e r l - -l -r -e r e l c h a n g e a s a
Milliseconds 132 94 145 0 184 139 166 104 85 88 72 32 88 47 123 72 70 50 77 52 85 113 82 38 88
Character f u n c t i o n o f t h e a m o u n t o
Milliseconds 111 72 48 250 74 152 18 16 98 0 121 40 54 120 60 40 79 70 58 65 85 126 57 46 94
Character f l i q u i d p o u r e d i n t o i t ?
Milliseconds 84 74 62 23 58 116 39 47 97 87 132 59 81 29 146 54 67 36 68 62 66 120 67 206 108
Character W e s e e c h a n g e o c c u r r i n g i
Milliseconds 171 306 103 88 28 138 74 88 52 101 32 80 55 83 92 106 122 119 69 125 67 40 65 77 88
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 28 69 125 42 72 62 62 55 62 51 157 90 45 48 219 102 153 79 64 40 63 50 106 60 75
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 123 62 68 183 49 63 106 29 68 49 81 10 164 103 76 47 92 80 73 283 88 58 58 38 137
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 50 58 109 95 135 35 72 55 70 66 56 48 92 60 65 62 34 168 51 131 115 126 24 91 143
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 40 48 52 101 47 36 69 115 40 166 35 124 3 115 77 49 96 42 103 46 129 72 80 122 65
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 165 64 69 53 43 17 89 89 72 48 68 76 25 52 51 80 88 162 222 99 55 65 28 49 90
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 97 54 160 180 36 14 89 0 107 55 89 136 48 294 175 41 95 88 72 47 98 53 27 71 72
Character i d e a s o f a v e r a g e a n d i n s t
Milliseconds 99 36 154 53 85 36 130 87 58 108 141 135 66 114 84 78 32 150 109 106 52 68 34 111 177
Character a n t a n e o u s r a t e s o f c h a n g e
Milliseconds 84 232 193 265 186 84 104 28 56 100 184 74 104 35 111 58 70 130 33 169 94 68 80 51 57
Character , a n d s h o w t h a t t h e y a r e
Milliseconds 109 33 67 85 48 75 131 67 42 84 71 18 66 56 76 45 119 96 68 78 76 91 63 49 80
Character c l o s e l y r e l a t e d t o t h e s l
Milliseconds 175 58 118 39 40 87 84 72 193 67 85 106 34 66 117 92 47 29 121 37 51 40 75 80 63
Character o p e o f a c u r g e -e -g v e a t a p
Milliseconds 142 166 85 68 66 66 103 81 85 399 137 59 185 47 267 108 40 98 36 103 152 56 67 98 72
Character o i n t P o n t h e c u r v e . W e g
Milliseconds 62 46 43 72 35 213 114 219 76 60 90 25 29 116 125 97 87 238 98 65 106 140 135 84 95
Character i v e p r e c i s e d e v e l o p m e n t s
Milliseconds 87 96 55 73 79 81 38 145 110 54 46 53 130 155 83 65 57 118 122 89 50 116 35 132 78
Character o f t h e s e i m p o r t a n t c o n c e p
Milliseconds 75 115 81 81 44 41 135 36 81 74 93 84 49 119 134 91 80 62 66 126 52 49 102 66 86
Character t s i n t h e n e x t c h a p t e r , b
Milliseconds 78 110 100 116 33 63 40 42 87 62 41 66 194 153 66 112 51 103 73 178 87 39 89 73 248
Character u t f o r n o w w e u s e a n i n f o
Milliseconds 21 99 79 80 81 69 63 88 32 48 115 85 72 72 112 67 21 81 95 97 83 72 36 94 100
Character r m a l a p p r o a c h s o y o u w i l l
Milliseconds 41 260 115 72 107 102 54 129 99 111 93 122 61 85 120 62 71 60 60 63 78 25 81 137 92
Character s e e h o w t h e y l e a d n a t u r a
Milliseconds 51 339 105 158 56 56 38 49 73 21 92 37 76 51 120 93 85 56 93 81 41 111 152 291 77
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 73 98 82 47 141 82 78 32 56 81 80 116 64 84 32 56 119 63 120 44 99 93 74 70 71
Character h i s c h a p t e r , t h e l i m i t . T
Milliseconds 60 52 12 86 102 86 107 54 102 67 72 64 80 66 36 47 75 46 48 78 42 94 101 107 131
Character h e i d e a o f a l i m i t p l a y s
Milliseconds 78 74 77 50 83 216 84 108 60 73 56 330 80 210 55 78 70 81 83 71 119 48 91 94 46
Character a f o u n d a t i o n a l r o l e t h r o u
Milliseconds 76 108 82 104 23 152 53 66 64 32 19 72 55 59 76 107 98 117 70 63 41 63 119 80 32
Character t -t g h o u t c a l c u l u s .
Milliseconds 415 318 96 35 84 68 51 87 116 146 111 103 86 328 72 52 89
WPM Timing
Seconds WPM
1.66 57.85
3.32 90.39
4.98 103.65
6.64 99.43
8.3 102.69
9.96 107.27
11.62 103.31
13.28 109.38
14.93 104.45
16.59 108.47
18.25 104.53
19.91 98.23
21.57 98.46
23.23 102.27
24.89 102.69
26.55 103.5
28.21 106.77
29.87 110.08
31.53 109.99
33.19 112.09
34.85 113.29
36.51 114.39
38.17 116.33
39.83 117.81
41.49 119.46
43.14 119.88
44.8 121.06
46.46 121.39
48.12 120.44
49.78 121.01
51.44 122.47
53.1 123.16
54.76 123.15
56.42 122.08
58.08 122.11
59.74 122.53
61.4 122.94
63.06 123.51
64.72 123.86
66.38 124.38
68.04 124.52
69.7 124.83
71.35 125.46
73.01 125.4
74.67 126.15
76.33 126.71
77.99 126.47
79.65 127.3
81.31 126.48
82.97 124.96