remember me š¯„½ youtu.be/5bAH4b2BgAg (poem)

Race #189449

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Official speed 152.42 wpm (68.02 seconds elapsed during race)
Without ending ping 152.82 wpm (178 ms delay sending score to TypeRacerā€™s server)
Timerless 153.39 wpm (254 ms elapsed before first character typed; 67.59 seconds elapsed during race)
Timerless minus one 153.22 wpm, ignoring the first character typed
Race Start April 1, 2023 12:56:53pm UTC
Race Finish April 1, 2023 12:58:01pm UTC
Outcome Win (1 of 3)
Opponents 2. veriston (143.78 wpm)
3. altrocality (121.92 wpm)
Accuracy 98.6%
Points 411.53
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 Calcuulus 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 objerct ct change as a funtcction of time? How does the level of water in a bartrelarrel change as a function of the mamount of luquiiquid poured into it? We see change occurdring 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 avearge rage 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 w e use an informal approach so you will see how they lead naturally to the main idea of thi ss chapter, the limit. The idea of a limit plays a foundational role throgughout calculus.
Timing
Character C a l c u u -u l u s i s a t o o l t h a t
Milliseconds 254 164 92 155 14 132 384 145 43 74 33 44 76 31 138 17 214 106 134 120 47 58 74 31 45
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 55 28 78 75 50 102 61 46 121 159 30 116 48 136 17 106 47 61 60 59 67 43 31 46 33
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 137 27 116 27 56 32 50 59 77 78 31 27 112 42 98 46 180 29 136 14 600 56 100 66 31
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 78 64 29 119 32 44 91 26 43 109 33 73 47 15 120 46 78 46 41 14 45 72 49 87 33
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 30 91 44 28 60 60 62 18 104 0 166 136 119 76 43 62 78 32 60 64 61 72 43 90 101
Character e e d o f a f a l l i n g o b j e r c t
Milliseconds 98 150 111 30 41 43 49 101 61 80 44 57 144 16 25 80 29 50 75 72 87 0 123 42 92
Character - -t -c -r c t c h a n g e a s a f u n t c -c
Milliseconds 273 136 124 136 74 74 33 93 17 44 30 28 84 92 185 109 47 79 76 61 96 137 94 15 408
Character -t c t i o n o f t i m e ? H o w d o e s
Milliseconds 125 46 79 34 0 27 32 95 61 31 110 46 17 45 169 16 140 108 77 63 32 94 62 47 62
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 49 76 62 3 74 78 98 90 47 31 94 73 53 77 144 27 111 15 82 29 123 31 109 46 123
Character a r t r e l -a -r -t -r -e -l a r r e l c h a n g e
Milliseconds 62 112 0 139 63 64 541 0 0 0 0 0 32 201 155 48 107 31 63 61 46 16 32 92 78
Character a s a f u n c t i o n o f t h e m -m a m
Milliseconds 63 47 46 93 78 18 121 124 77 18 46 15 15 16 124 77 46 94 32 78 30 78 341 106 61
Character o u n t o f l u q u i -u -q -u -i i q u i d p o
Milliseconds 16 31 126 60 64 31 63 45 47 78 46 62 61 480 0 0 0 49 107 63 31 126 30 108 46
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 16 63 138 92 46 47 15 108 62 31 79 33 154 33 63 121 79 62 123 578 173 49 61 63 32
Character g e o c c u r d -d r i n g i n n e a r l y
Milliseconds 0 121 47 32 93 140 80 61 46 404 49 90 48 16 76 63 48 63 125 77 19 15 74 17 31
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 78 92 140 16 94 45 46 31 0 62 63 111 384 138 16 62 93 44 47 91 79 48 96 27 0
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 46 93 47 30 147 38 84 10 107 13 95 65 39 49 77 123 32 39 86 85 44 84 57 25 108
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 112 77 85 35 53 40 75 35 106 61 29 16 117 30 43 141 27 65 12 59 58 63 28 132 60
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 28 50 71 49 73 0 72 74 86 33 45 138 47 121 108 185 128 61 18 14 45 48 31 80 31
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 78 0 30 33 62 48 108 15 112 122 16 77 61 32 46 31 124 46 123 78 16 18 0 29 140
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 79 140 33 15 62 127 61 95 62 94 124 63 47 44 96 93 46 32 124 62 108 96 45 45 62
Character a v e a r g e - -e -g -r -a r a g e a n d i n s
Milliseconds 94 94 77 65 0 126 31 77 283 127 139 155 107 46 77 77 62 49 60 46 79 45 47 47 185
Character t a n t a n e o u s r a t e s o f c h a n g
Milliseconds 62 76 124 92 61 171 95 90 31 63 62 63 78 63 77 30 47 31 63 49 107 46 63 16 32
Character e . - -. , a n d s h o w t h a t t h e y
Milliseconds 60 109 32 261 108 155 14 63 63 61 63 62 63 32 101 0 98 46 77 16 45 96 58 64 43
Character a r e c l o s e l y r e l a t e d t o t
Milliseconds 33 61 15 46 48 91 92 138 63 32 64 28 32 46 32 139 107 16 47 93 46 77 32 47 47
Character h e s l o p e o f a c u r v e a t a
Milliseconds 63 32 92 47 79 139 64 79 14 32 61 48 63 78 93 62 61 138 46 61 94 63 94 94 108
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 62 126 46 32 77 31 171 82 92 300 44 60 46 60 45 97 33 80 169 79 132 37 84 132 36
Character g i v e p r e c i s e d e v e l o p m e n t s
Milliseconds 106 25 104 61 44 56 61 42 108 85 35 42 91 59 119 74 79 26 149 29 320 133 92 32 63
Character o f t h e s e i m p o r t a n t c o n c e
Milliseconds 34 48 16 78 69 44 51 122 102 31 31 53 110 46 70 125 79 13 61 72 103 68 28 69 161
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 91 57 91 42 148 0 55 78 59 60 45 44 61 134 72 52 66 78 63 80 45 104 32 44 13
Character b u t f o r n o w w - e u s e a n i
Milliseconds 92 28 90 44 103 59 61 31 57 28 90 95 104 173 347 93 69 28 74 48 40 95 63 45 104
Character n f o r m a l a p p r o a c h s o y o u w
Milliseconds 31 29 118 62 109 91 112 6 118 120 124 79 78 149 74 102 0 58 86 48 59 145 18 15 63
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 61 149 117 32 165 124 154 82 28 17 85 32 74 46 56 61 29 115 29 62 66 82 17 59 30
Character u r a l l y t o t h e m a i n i d e a o
Milliseconds 50 85 41 46 134 28 13 63 75 15 63 63 60 17 47 74 80 16 13 89 0 127 31 64 43
Character f t h i s -s - s c h a p t e r , t h e l
Milliseconds 49 43 86 30 29 76 15 394 109 59 78 58 73 72 47 61 120 42 49 25 48 88 46 12 89
Character i m i t . T h e i d e a o f a l i m i t
Milliseconds 75 105 42 94 133 32 54 57 44 50 45 59 134 29 34 27 61 42 108 66 78 79 91 88 82
Character p l a y s a f o u n d a t i o n a l r o l
Milliseconds 79 77 182 127 45 76 40 94 80 46 110 27 110 12 47 32 77 5 10 60 109 46 116 30 77
Character e t h r o g -g u g h o u t c a l c u l u s .
Milliseconds 61 75 31 90 30 43 126 352 139 82 47 96 61 79 39 94 54 42 71 128 137 47 86 107
WPM Timing
Seconds WPM
1.36 52.92
2.72 110.26
4.08 126.43
5.44 141.13
6.8 134.07
8.16 149.95
9.52 152.47
10.88 155.46
12.24 144.07
13.6 142.89
14.96 141.93
16.33 145.54
17.69 143.17
19.05 139.87
20.41 142.89
21.77 141.13
23.13 138.54
24.49 138.68
25.85 137.88
27.21 138.48
28.57 139.03
29.93 141.13
31.29 143.43
32.65 146.27
34.01 147.48
35.37 148.93
36.73 149.3
38.09 146.48
39.45 145.69
40.81 146.72
42.17 146.25
43.53 148.3
44.89 149.42
46.26 149.69
47.62 149.19
48.98 149.71
50.34 149.47
51.7 150.18
53.06 150.4
54.42 151.27
55.78 150.6
57.14 150.37
58.5 150.36
59.86 151.95
61.22 152.11
62.58 152.44
63.94 153.14
65.3 153.63
66.66 152.65
68.02 152.42