urchin (urchinonquit)

Race #4847

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Official speed 132.08 wpm (78.50 seconds elapsed during race)
Without ending ping 132.70 wpm (368 ms delay sending score to TypeRacer’s server)
Timerless 132.76 wpm (35 ms elapsed before first character typed; 78.10 seconds elapsed during race)
Timerless minus one 132.61 wpm, ignoring the first character typed
Race Start January 11, 2024 6:04:01pm UTC
Race Finish January 11, 2024 6:05:19pm UTC
Outcome Win (1 of 4)
Opponents 2. supraaxdd (99.65 wpm)
3. ahm_1 (93.12 wpm)
Accuracy 97.9%
Points 356.63
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 Callcuculus 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 atime? How does the leevvevvl ol fof 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 int the world and universe, and powerful modern instruments help us see more and more. iIn this section we introduce the ideas of average and instantaneous rates of change, adnd show that they are closely related to the stlope of a rcurve at ap point P on the curve. We givve pree prevcise developments of these important concepts in the next chapter, but for now we use an intfforamlkmamal approach so you will see how they ilealead natruauarrally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l l c u -u -c -l c u l u s i s a t o o l
Milliseconds 35 176 23 73 71 89 304 128 119 73 56 120 63 65 31 49 88 41 63 72 72 25 110 137 24
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 48 49 47 32 24 80 56 56 128 72 24 88 104 57 71 72 64 96 40 80 56 48 48 80 40
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 48 48 41 71 72 80 96 40 88 32 88 32 40 56 48 64 88 64 80 40 88 32 272 88 120
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 72 56 128 56 64 80 32 192 24 64 88 40 56 136 64 40 48 80 104 128 88 96 64 88 48
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 32 64 32 40 176 136 40 64 96 24 112 56 88 32 120 80 48 40 96 32 88 24 80 64 56
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 48 112 128 128 48 104 120 48 144 72 56 216 168 56 48 80 128 64 48 48 32 80 48 136 64
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 32 120 32 104 48 32 104 40 32 104 72 24 144 24 392 96 112 64 104 144 40 48 8 112 96
Character f a -a t i m e ? H o w d o e s t h e l e
Milliseconds 96 56 40 344 88 64 32 47 169 32 120 128 120 96 64 48 64 24 32 87 25 80 48 96 56
Character e v -v -e v e v v l o -o - -l -v -v l f -f o f w a
Milliseconds 111 8 385 88 64 24 8 15 41 72 96 232 88 112 105 119 192 48 144 288 128 56 56 32 64
Character t e r i n a b a r r e l c h a n g e a s
Milliseconds 24 72 64 8 72 64 56 64 88 72 136 88 120 64 80 56 216 56 64 72 128 32 88 72 15
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 385 192 96 64 80 24 47 105 8 40 15 161 96 96 64 72 32 72 40 56 48 88 64 32 56
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 39 49 144 16 240 72 136 56 96 88 72 56 136 120 120 312 112 40 40 64 56 16 136 80 88
Character ? W e s e e c h a n g e o c c u r r i n g
Milliseconds 160 24 72 168 136 72 56 80 168 72 63 81 56 56 64 80 88 72 119 113 8 136 120 48 49
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 39 64 56 48 192 64 64 32 80 64 48 112 112 48 88 120 136 48 56 56 64 40 79 25 88
Character o b s e r v e i n t -t t h e w o r l d a n
Milliseconds 80 72 104 48 48 128 32 96 32 55 169 360 96 56 56 48 64 48 40 47 105 56 64 72 72
Character d u n i v e r s e , a n d p o w e r f u l
Milliseconds 47 49 88 40 120 256 128 80 64 64 119 105 72 64 56 56 88 128 32 24 64 120 40 120 40
Character m o d e r n i n s t r u m e n t s h e l p u
Milliseconds 160 72 72 112 32 15 81 40 56 136 56 32 56 128 56 72 40 80 40 88 104 80 112 56 72
Character s s e e m o r e a n d m o r e . i -i I n
Milliseconds 88 40 96 16 128 72 48 64 32 40 48 96 32 80 24 80 40 64 24 104 16 216 384 168 40
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 96 48 24 72 40 48 64 56 112 112 40 32 48 87 105 32 79 129 32 96 120 72 416 96 72
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 40 64 64 32 32 80 208 168 120 72 16 120 56 80 96 56 120 88 56 64 88 40 120 104 56
Character d i n s t a n t a n e o u s r a t e s o f
Milliseconds 80 32 96 72 48 96 48 144 72 512 88 104 144 40 88 56 48 80 64 64 168 96 72 72 47
Character c h a n g e , a d -d n d s h o w t h a t t
Milliseconds 97 40 80 64 72 40 48 48 48 96 440 152 24 88 48 64 72 72 64 40 64 56 40 64 56
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 56 16 88 48 80 40 32 40 96 64 112 39 33 72 64 24 104 32 80 56 40 48 128 80 48
Character o t h e s t -t l o p e o f a r -r c u r v
Milliseconds 64 96 72 72 48 80 40 64 320 160 128 128 7 337 96 80 24 72 72 64 320 88 88 384 168
Character e a t a p - -p p o i n t P o n t h e
Milliseconds 40 87 89 72 128 48 104 16 368 112 63 105 128 74 70 64 56 128 120 112 80 55 49 56 48
Character c u r v e . W e g i v v e p r e -p -r -e - -e
Milliseconds 56 80 64 71 145 48 88 24 88 120 40 88 48 87 16 17 79 41 32 32 256 0 0 112 144
Character -v e p r e v -v c i s e d e v e l o p m e n t s
Milliseconds 120 104 8 104 32 40 248 256 72 56 40 48 48 96 120 95 41 72 128 392 144 64 72 40 72
Character o f t h e s e i m p o r t a n t c o n c e
Milliseconds 80 48 104 24 248 88 40 32 104 32 48 96 40 144 24 112 144 144 96 64 88 56 40 72 33
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 47 72 64 48 56 184 160 64 32 47 49 112 48 128 88 64 88 64 48 95 81 80 64 8 48
Character b u t f o r n o w w e u s e a n i n t
Milliseconds 104 48 80 48 144 39 81 24 80 48 56 56 72 24 96 136 56 32 56 64 48 88 80 40 64
Character f -f -t f o r a m l -l -m -a k m a -a -m -k m a l a p p
Milliseconds 192 191 129 88 71 41 112 8 144 248 120 136 88 32 112 256 120 136 96 89 39 88 88 40 120
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 64 64 80 80 40 96 64 72 56 71 17 40 96 72 48 200 112 144 88 48 96 56 80 48 40
Character t h e y i l e a -i -l -e -a l e a d n a t r u a
Milliseconds 80 40 72 64 56 48 80 112 48 64 192 0 0 0 152 48 40 112 56 96 64 40 136 48 56
Character -a -u -r u a r -r -a r a l l y t o t h e m a i n
Milliseconds 296 136 136 112 64 200 232 112 48 24 88 120 24 120 104 104 80 56 48 88 15 113 80 64 48
Character i d e a o f t h i s c h a p t e r , t h
Milliseconds 80 192 88 104 40 72 64 80 32 56 32 48 80 24 232 88 96 32 120 24 88 81 23 56 56
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 32 80 64 32 111 73 88 88 24 72 73 47 56 71 49 128 48 191 80 80 72 56 96 104 64
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 96 80 32 96 72 128 64 64 104 80 72 87 33 40 48 41 47 88 40 48 33 31 176 80 112
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 72 48 128 40 48 64 32 96 57 31 80 32 96 48 64 64 88 104 48 256 112 128 160 112 64
WPM Timing
Seconds WPM
1.57 84.08
3.14 133.76
4.71 155.42
6.28 150.96
7.85 151.34
9.42 154.14
10.99 150.69
12.56 150.96
14.13 146.08
15.7 146.76
17.27 134.8
18.84 134.4
20.41 133.47
21.98 136.49
23.55 135.55
25.12 135.19
26.69 136.23
28.26 137.16
29.83 136.38
31.4 137.2
32.97 137.95
34.54 139.32
36.11 139.58
37.68 140.45
39.25 139.11
40.82 139.64
42.39 138.43
43.96 138.13
45.53 139.43
47.1 140.64
48.67 138.57
50.24 136.63
51.81 135.73
53.38 135.11
54.95 133.65
56.52 133.12
58.09 133.45
59.66 134.16
61.23 135.43
62.8 133.76
64.37 131.62
65.94 132.12
67.51 131.9
69.08 129.77
70.65 129.94
72.22 130.44
73.79 131.24
75.36 131.85
76.93 132.9
78.5 132.08