cody (ocdy1001)

Race #8652

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Official speed 90.03 wpm (115.16 seconds elapsed during race)
Without ending ping 90.26 wpm (293 ms delay sending score to TypeRacer’s server)
Timerless 90.67 wpm (517 ms elapsed before first character typed; 114.35 seconds elapsed during race)
Timerless minus one 90.56 wpm, ignoring the first character typed
Race Start November 9, 2023 11:46:21am UTC
Race Finish November 9, 2023 11:48:16am UTC
Outcome No win (2 of 3)
Opponents 1. mrkmat (112.34 wpm)
Accuracy 96.7%
Points 243.09
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 Calculeus is oa tool that helps us understand how a change in one quatntity is related to ac ha change in another. How does the speed of a falling objetc chact tchange as afunfun function of time? How does the level of water in abarr barrel change as a function of the amount of liquid poure dinfd into it? We see change orccuriring in realnearly everything we observe inthe th wore world and universe, andpo powerful modern instruments help us see more and more. In this section we intdoroduce the ideas of average and instantaneous rates of cange,hange, and show that they are closely related to the slope of a cureveat at a popint P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approchach so you will see how they lead antunaturally to the main idea of this schatper,pter, the limit. The idea of a limit plays a foundational role thoroughout caclculus.
Timing
Character C a l c u l e -e u s i s o -o a t o o l t h
Milliseconds 517 233 34 200 183 67 583 367 150 133 50 233 67 100 167 400 250 0 133 117 116 84 16 217 50
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 133 0 17 117 183 0 100 83 34 166 100 67 100 200 0 150 0 67 66 234 100 0 50 133 150
Character w a c h a n g e i n o n e q u a t -t n t
Milliseconds 33 100 150 17 117 50 166 84 0 50 116 150 167 0 33 234 16 17 183 67 200 0 583 217 83
Character i t y i s r e l a t e d t o a c h a -a -h
Milliseconds 67 150 100 134 133 100 33 234 133 50 150 0 150 33 50 100 84 100 416 67 33 250 117 200 133
Character - -c c h a n g e i n a n o t h e r . H o w
Milliseconds 134 150 150 150 33 150 100 0 67 16 100 134 0 150 100 0 100 66 84 0 100 83 117 183 50
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 83 134 66 200 0 50 217 50 133 0 67 233 250 84 66 67 83 67 100 200 17 116 250 34 166
Character i n g o b j e t c c h a -a -h -c - -c -t c t t -t
Milliseconds 50 200 0 0 84 166 67 183 67 0 83 100 84 133 250 150 150 150 167 150 150 100 50 133 450
Character c h a n g e a s a f u n -n -u -f f u n -n -u -f f
Milliseconds 117 83 133 84 0 100 100 233 83 117 133 150 100 217 300 150 167 166 67 283 267 150 133 134 83
Character u n c t i o n o f t i m e ? H o w d o e s
Milliseconds 133 284 400 66 50 67 167 16 67 67 100 116 50 134 116 134 66 167 184 50 100 66 50 184 16
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 50 184 116 134 0 250 166 34 133 33 17 83 100 50 184 150 33 150 50 317 100 200 16 150 84
Character a r r -r -r -a -b b a r r e l c h a n g e a s
Milliseconds 216 0 150 217 167 133 150 133 100 200 0 134 183 17 66 150 50 167 67 0 66 50 150 0 100
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 184 66 100 100 150 84 50 33 50 217 0 33 50 83 84 83 100 33 134 66 17 67 183 0 0
Character o f l i q u i d p o u r e d i n f -f -n -i -d -
Milliseconds 33 84 83 100 67 133 67 33 150 100 50 117 66 300 217 67 16 167 233 184 133 150 150 167 133
Character d i n t o i t ? W e s e e c h a n g e
Milliseconds 150 83 117 150 0 17 116 134 83 150 150 217 200 0 100 133 67 133 67 100 183 0 17 100 16
Character o r -r c c u r i -i r i n g i n r e a l -l -a -e -r
Milliseconds 117 133 350 167 133 267 50 117 500 100 116 167 0 50 167 200 0 133 133 84 0 350 150 150 167
Character n e a r l y e v e r y t h i n g w e o b s e
Milliseconds 583 83 67 0 117 66 50 234 16 134 50 83 117 83 50 133 0 34 166 117 50 83 167 100 183
Character r v e i n t h e - -e -h -t t h w o r -r -o -w -
Milliseconds 0 167 133 0 100 150 100 100 200 0 300 150 150 167 150 133 34 183 100 117 83 283 134 166 184
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 700 0 116 150 34 183 33 134 183 117 0 33 83 167 33 84 166 0 50 134 150 100 183 67 0
Character p o -o -p p o w e r f u l m o d e r n i n s t
Milliseconds 83 50 483 150 150 100 84 166 167 67 66 100 100 100 150 67 100 183 0 234 33 150 150 0 33
Character r u m e n t s h e l p u s s e e m o r e
Milliseconds 84 100 83 217 166 0 0 150 184 116 50 50 117 83 100 117 133 200 67 67 83 67 116 134 0
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 166 67 0 33 134 50 150 83 83 200 184 216 0 100 84 67 50 66 150 167 17 50 50 66 150
Character w e i n t d o -o -d r o d u c e t h e i d e
Milliseconds 0 117 150 33 117 133 484 216 100 434 150 83 83 67 117 100 150 0 116 67 133 0 134 133 150
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 50 33 50 67 83 84 233 17 150 16 134 0 133 0 167 100 0 0 133 217 16 0 267 100 67
Character a n e o u s r a t e s o f c a n g e , -, -e -g
Milliseconds 516 134 50 116 34 183 150 183 134 50 83 100 133 84 83 67 166 234 116 0 100 134 266 117 150
Character -n -a h a n g e , a n d s h o w t h a t t h
Milliseconds 150 167 150 166 100 17 17 100 100 216 67 17 50 100 100 133 100 67 233 200 150 0 83 150 134
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 133 67 50 266 50 100 0 167 183 50 100 167 33 100 50 334 116 67 150 0 150 0 67 100 66
Character t h e s l o p e o f a c u r e -e v e a t
Milliseconds 100 67 100 117 16 100 150 84 66 217 0 117 83 67 216 17 67 117 100 233 417 100 150 300 33
Character - -t -a a t a p o p -p i n t P o n t h
Milliseconds 100 350 133 167 233 184 50 66 200 67 117 16 117 600 167 150 0 0 166 134 166 184 33 150 50
Character e c u r v e . W e g i v e p r e c i s e
Milliseconds 133 0 167 200 267 166 117 83 67 150 167 0 66 67 83 134 16 67 83 167 17 116 84 183 0
Character d e v e l o p m e n t s o f t h e s e i m p
Milliseconds 300 150 33 134 66 50 34 150 233 117 0 0 100 83 67 116 50 100 117 67 166 17 167 116 84
Character o r t a n t c o n c e p t s i n t h e n e
Milliseconds 66 50 84 183 133 0 84 133 133 134 83 250 0 133 67 117 216 150 0 84 50 150 0 133 117
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 0 150 100 133 117 116 84 66 150 84 33 67 150 16 134 33 150 117 50 50 250 0 100 0 200
Character e u s e a n i n f o r m a l a p p r o c h
Milliseconds 133 0 133 134 183 33 334 100 0 116 167 0 133 84 150 217 0 100 183 83 150 100 84 200 116
Character -h -c a c h s o y o u w i l l s e e h o w
Milliseconds 350 134 266 0 67 83 150 100 34 183 117 33 67 83 67 100 150 16 117 100 83 50 117 117 66
Character t h e y l e a d a n t u -u -t -n -a n a t u r a
Milliseconds 100 84 66 167 50 50 133 150 50 0 67 183 34 116 150 234 133 150 167 233 83 0 67 83 200
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 0 134 66 50 134 200 200 116 167 133 34 50 200 83 100 17 150 133 167 83 133 67 67 83 100
Character h i s s -s c h a t p e r , -, -r -e -p -t p t e r ,
Milliseconds 67 50 66 84 133 383 117 33 134 66 50 200 17 117 200 133 133 150 150 184 50 150 33 83 84
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 50 83 167 0 66 67 83 84 83 100 50 133 100 150 100 200 100 134 33 0 83 84 66 250 34
Character l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 133 50 133 84 100 33 100 100 133 84 83 67 333 67 100 116 50 184 0 150 16 84 117 150 83
Character l r o l e t h o -o r o u g h o u t c a c -c l
Milliseconds 50 117 100 16 200 484 50 200 50 50 433 133 100 67 17 133 200 50 83 67 183 584 83 633 100
Character c u l u s .
Milliseconds 184 183 50 117 83 83
WPM Timing
Seconds WPM
2.3 31.26
4.61 59.92
6.91 83.36
9.21 87.27
11.52 90.66
13.82 85.97
16.12 91.55
18.43 93.78
20.73 85.1
23.03 82.32
25.34 78.62
27.64 82.49
29.94 83.76
32.25 83.36
34.55 87.88
36.85 86.94
39.15 86.43
41.46 85.97
43.76 83.64
46.06 85.18
48.37 83.36
50.67 80.99
52.97 82.46
55.28 82.28
57.58 83.78
59.88 85.77
62.19 85.29
64.49 86.34
66.79 87.31
69.1 86.49
71.4 86.55
73.7 87.27
76.01 88.41
78.31 86.89
80.61 86.34
82.92 86.83
85.22 87.87
87.52 88.71
89.83 89.37
92.13 90.13
94.43 90.1
96.74 90.56
99.04 90.03
101.34 90.58
103.65 90.42
105.95 90.27
108.25 90.9
110.56 91.39
112.86 91.02
115.16 90.03