sunglass (sunglassdev)

Race #1928

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Official speed 128.43 wpm (80.73 seconds elapsed during race)
Without ending ping 128.73 wpm (94 ms delay sending score to TypeRacer’s server)
Timerless 129.34 wpm (384 ms elapsed before first character typed; 80.25 seconds elapsed during race)
Timerless minus one 129.19 wpm, ignoring the first character typed
Race Start September 17, 2024 12:13:38am UTC
Race Finish September 17, 2024 12:14:59am UTC
Outcome No win (2 of 3)
Opponents 1. pinglei (137.86 wpm)
3. dirtysouth (108.52 wpm)
Accuracy 97.1%
Points 346.77
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 Cacllculu ss is a tool that helps us understand how a change in one quantity is related too a change in another. How does th ee speed of a falling object change as a function of time/ ?H How does the level of water in a barrel change as a function of the amount of liquid poreured into it? WE e see change occuring in ooccurring in nearly everything we obobserve in the world and universe, and powerful moderrn intrustruments help us see more and more. In this section we indtroducer the ideas of average an dinsd instantaneous rates of change, and show that htey arehey are closely related to the slope of a curve at poia point P on the curve. We vigive precoise ise developments of these important concepts in the nex tt chapter, but for now we use an informal approach so you wiolll see how they lead naturally to the main dieadfea dea of this chapter, the limit. The idea ofa a limit plays a foundational role through out calcul;uus.
Timing
Character C a c l -l -c l c u l u s -s - s i s a t o o
Milliseconds 384 133 100 217 200 100 133 100 150 150 167 183 17 233 117 83 83 67 67 66 67 50 83 84 83
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 17 83 117 33 67 16 34 66 67 83 34 50 66 184 66 67 117 16 67 83 150 117 50 83 84
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 66 117 33 0 84 66 67 50 50 67 66 50 67 83 34 50 50 66 100 17 50 67 83 100 100
Character n t i t y i s r e l a t e d t o -o o a c
Milliseconds 50 117 33 133 50 100 67 67 66 67 67 150 100 66 100 50 100 67 133 184 316 34 116 84 116
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 50 84 50 116 50 67 67 33 50 67 66 17 100 67 66 17 83 84 83 100 33 100 50 84 66
Character s t h e -e - e s p e e d o f a f a l l
Milliseconds 67 50 67 50 133 50 217 116 50 67 67 83 84 100 50 50 50 50 66 50 84 50 50 83 133
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 117 17 66 34 50 133 150 50 33 34 50 66 67 33 84 66 34 83 33 50 100 50 67 67 83
Character n c t i o n o f t i m e / - -/ ? H - -H H
Milliseconds 17 133 33 50 17 117 83 100 50 100 100 17 33 67 100 83 267 100 200 183 183 167 100 100 133
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 100 67 67 66 67 33 117 50 83 84 83 67 100 66 84 100 50 33 83 50 84 50 50 100 50
Character r i n a b a r r e l c h a n g e a s a
Milliseconds 33 50 67 33 33 50 67 67 50 83 150 133 50 50 100 50 67 50 83 34 100 50 66 84 66
Character f u n c t i o n o f t h e a m o u n t o
Milliseconds 67 33 117 17 83 50 67 33 100 83 50 67 67 100 50 66 84 50 83 50 167 16 67 83 50
Character f l i q u i d p o r e -e -r u r e d i n t o
Milliseconds 67 67 116 134 66 67 33 84 50 50 150 100 50 200 100 150 16 50 100 50 84 16 67 50 50
Character i t ? W E - -E e s e e c h a n g e o c c
Milliseconds 83 34 166 67 133 67 117 250 116 84 66 84 33 117 50 100 66 34 66 50 84 33 67 50 133
Character u r i n g i n -o -c -u -r -i -n -g - -i -n - o -o -c o c
Milliseconds 83 84 50 33 50 50 50 33 67 400 0 0 0 0 0 0 0 0 0 0 50 167 133 167 66
Character c u r r i n g i n n e a r l y e v e r y t h
Milliseconds 117 67 66 117 117 33 67 66 84 33 384 66 34 66 84 50 150 16 84 66 67 17 100 66 50
Character i n g w e o -o b -b o b s e r v e i n t h e
Milliseconds 100 50 84 50 166 34 66 250 267 217 166 167 133 100 167 17 150 50 33 67 50 50 33 100 83
Character w o r l d a n d u n i v e r s e , a n d
Milliseconds 50 100 67 67 66 17 117 50 83 83 67 67 33 183 34 116 34 150 66 34 133 167 0 116 50
Character p o w e r f u l m o d e r -r r n i n t r u -u -r
Milliseconds 50 0 34 116 34 116 67 150 117 83 17 50 100 66 250 200 67 67 83 50 67 100 116 200 134
Character -t s t r u m e n t s h e l p u s s e e m o
Milliseconds 116 67 33 100 17 117 100 33 83 67 67 83 117 50 50 33 83 67 67 100 33 117 50 50 16
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 34 16 50 100 34 50 50 50 0 66 17 50 50 133 117 67 16 67 17 50 33 83 134 66 0
Character i o n w e i n d -d t r o d u c e r - -r t h
Milliseconds 34 33 67 33 67 16 50 167 17 100 350 50 133 50 133 84 50 116 0 67 200 117 116 67 67
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 50 50 66 17 33 84 83 83 50 84 50 83 100 300 67 150 83 67 66 84 50 66 34 66 50
Character s -s -n -i -d - d i n s t a n t a n e o u s r a t
Milliseconds 67 183 150 167 67 133 100 67 166 34 83 67 100 33 150 167 133 200 150 50 84 50 150 66 67
Character e s o f c h a n g e , a n d s h o w t h
Milliseconds 117 16 67 50 67 33 100 33 84 50 100 33 50 50 50 117 116 84 83 83 17 83 34 416 50
Character a t h t e y a r e -h -e -y - -a -r -e h e y a r e
Milliseconds 150 50 50 117 0 100 0 50 50 50 67 366 0 0 0 0 0 0 50 84 50 50 33 33 50
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 67 100 50 50 50 50 50 150 17 100 50 66 84 83 67 33 67 100 50 16 100 67 83 67 67
Character l o p e o f a c u r v e a t p o i $a -o -i
Milliseconds 50 133 17 216 84 66 100 17 83 50 84 116 34 200 66 100 50 67 50 83 134 133 317 0 0
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 66 100 134 150 0 33 83 84 66 100 50 0 100 67 67 33 100 50 50 117 50 66 50 134 66
Character v i -i -v g i v e p r e c o i s e - -e -s -i -o i
Milliseconds 84 183 67 300 116 67 67 100 33 33 34 116 217 117 266 17 83 50 50 150 100 134 133 100 150
Character s e d e v e l o p m e n t s o f t h e s e
Milliseconds 33 50 34 116 34 400 50 83 117 50 100 66 84 50 116 17 50 83 50 67 50 33 117 50 17
Character i m p o r t a n t c o n c e p t s i n t h e
Milliseconds 50 66 100 50 84 183 100 133 84 50 100 16 34 83 33 50 100 67 67 50 50 83 17 83 84
Character n e x t -t - t c h a p t e r , b u t f o
Milliseconds 66 34 66 17 100 33 300 100 134 100 50 50 116 17 83 100 34 33 50 100 17 50 16 117 83
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 17 100 267 16 67 67 83 50 67 133 33 50 84 66 67 17 100 83 83 84 83 50 100 83 200
Character a p p r o a c h s o y o u w i o l -l -o l l
Milliseconds 117 100 100 83 84 66 50 50 34 66 34 33 100 33 17 33 67 50 0 133 234 133 117 116 50
Character s e e h o w t h e y l e a d n a t u r a l
Milliseconds 34 33 183 117 100 50 33 50 117 17 83 33 67 100 33 17 100 50 83 67 200 0 900 133 50
Character l y t o t h e m a i n d i e a -d -e -a d f e
Milliseconds 117 33 84 50 83 33 84 33 133 17 50 83 50 50 34 100 0 66 50 334 0 0 100 0 50
Character a -d -f -e -a - d e a o f t h i s c h a p t e
Milliseconds 33 83 384 0 0 0 0 66 34 33 83 50 84 33 117 16 84 16 50 84 50 66 67 100 83
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 34 33 67 83 17 100 33 17 116 50 100 84 133 50 67 100 66 67 50 83 17 67 100 66 84
Character a - -a a l i m i t p l a y s a f o u n
Milliseconds 100 66 334 116 34 100 66 50 100 84 100 16 117 33 34 50 83 67 50 83 50 83 167 200 17
Character d a t i o n a l r o l e t h r o u g h - o u
Milliseconds 50 50 66 50 17 83 50 100 34 83 67 50 83 50 100 50 50 50 34 66 50 50 317 150 33
Character t c a l c u l ; u -u -; u s .
Milliseconds 34 50 100 50 16 184 33 133 0 150 217 133 117 67 66
WPM Timing
Seconds WPM
1.61 37.16
3.23 70.61
4.84 99.1
6.46 122.63
8.07 126.35
9.69 126.35
11.3 126.35
12.92 130.99
14.53 137.91
16.15 130.81
17.76 129.73
19.37 134.4
20.99 137.78
22.6 139.62
24.22 137.75
25.83 135.64
27.45 128.53
29.06 128.83
30.68 127.52
32.29 127.09
33.91 127.76
35.52 127.7
37.14 126.35
38.75 130.07
40.36 131.11
41.98 130.64
43.59 129.93
45.21 127.68
46.82 127.89
48.44 128.08
50.05 127.79
51.67 128.9
53.28 129.05
54.9 129.19
56.51 128.47
58.12 125.52
59.74 125.95
61.35 127.13
62.97 127.11
64.58 128.02
66.2 128.34
67.81 128.83
69.43 129.29
71.04 128.54
72.66 127.17
74.27 128.61
75.89 128.09
77.5 128.52
79.11 129.23
80.73 128.43