Jon (code_typist)

Race #202

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Official speed 88.40 wpm (117.29 seconds elapsed during race)
Without ending ping 88.58 wpm (243 ms delay sending score to TypeRacer’s server)
Timerless 88.73 wpm (195 ms elapsed before first character typed; 116.85 seconds elapsed during race)
Timerless minus one 88.63 wpm, ignoring the first character typed
Race Start July 28, 2023 2:53:48am UTC
Race Finish July 28, 2023 2:55:45am UTC
Outcome No win (2 of 3)
Opponents 1. bilboballins (105.17 wpm)
3. pain_i5 (78.69 wpm)
Accuracy 96.0%
Points 238.68
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 Calculus is a tool that hhelpelps us understand how a chang eine in one quantity is related to a change in antoheoitther. How does th ee speed of a failllling object change as a fuinction of time? How does th e level of water in a barrel change as a function of the amount of liquid pored ured into it? We see change occuring iring in nearly everything we pobserve in the world and universe, adn pond powerful modern insturmenruments help us see more and more. In this seciton tion we introduce the dieasideas of avergagageage and instantenoanoeous ratees os of change, and show that they are closely related to the slope of a curve at api point P on the curve. We give precise ededevelopments of these important concepts in the nxext chapter, but for nowe we use an informal appraocoach so you will see how they lead naturally to the main dieaoidea idea of this chapter,. tjhehe limit. The idea of a limit plays a foundation rolal roel tle throghoughughout alcucaluccluulus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 195 134 168 152 160 208 160 104 25 119 113 71 273 127 169 32 128 152 104 88 88 80 72 16 96
Character h e l p -p -l -e -h e l p s u s u n d e r s t a n
Milliseconds 184 160 48 72 184 141 139 112 128 56 64 112 73 135 88 40 128 64 64 64 120 105 111 96 40
Character d h o w a c h a n g e i n -n -i -e - e i n
Milliseconds 80 64 120 136 56 104 88 65 119 64 104 48 136 48 24 112 56 304 136 120 144 112 88 104 72
Character o n e q u a n t i t y i s r e l a t e d
Milliseconds 145 103 64 64 88 112 72 120 32 144 80 104 120 56 128 48 88 96 256 120 80 112 80 112 56
Character t o a c h a n g e i n a n t o h e -e -h -o -t
Milliseconds 120 40 144 72 368 120 96 112 56 112 88 16 120 56 144 32 120 113 0 175 48 256 136 136 136
Character o i t -t -i t h e r . H o w d o e s t h e -e
Milliseconds 168 0 56 344 152 128 104 72 56 80 152 144 112 96 48 136 24 120 56 32 120 48 120 280 112
Character - e s p e e d o f a f a i l l -l -l -i l l i
Milliseconds 152 128 88 88 72 95 145 24 64 120 32 104 40 112 64 56 32 144 112 280 128 135 249 120 144
Character n g o b j e c t c h a n g e a s a f u i
Milliseconds 48 72 80 136 80 120 80 112 168 80 112 80 80 88 256 88 88 96 88 40 528 176 248 80 0
Character -i n c t i o n o f t i m e ? H o w d o e s
Milliseconds 320 312 104 176 40 144 88 120 104 48 87 89 48 80 40 216 88 168 96 120 64 80 64 64 56
Character t h - e l e v e l o f w a t e r i n
Milliseconds 48 104 64 104 368 88 96 136 40 112 64 79 105 120 56 80 48 112 88 96 80 32 120 72 144
Character a b a r r e l c h a n g e a s a f u n c
Milliseconds 72 72 160 80 120 168 80 120 96 96 88 80 64 112 48 72 104 40 64 88 88 96 96 80 40
Character t i o n o f t h e a m o u n t o f l i q
Milliseconds 176 24 152 96 128 120 80 72 112 23 113 24 160 32 120 160 80 64 64 112 56 72 96 152 72
Character u i d p o r e d - -d -e -r u r e d i n t o i
Milliseconds 96 136 104 48 152 152 232 48 104 64 208 136 136 120 200 48 64 96 56 128 80 96 48 112 128
Character t ? W e s e e c h a n g e o c c u r i n g
Milliseconds 64 200 112 144 72 80 104 144 104 56 88 72 112 32 120 56 32 120 48 144 80 104 72 72 64
Character i -i - -g -n -i r i n g i n n e a r l y e v e
Milliseconds 56 120 224 136 128 232 168 128 96 96 56 80 96 56 120 160 272 112 80 136 104 64 80 112 88
Character r y t h i n g w e p -p o b s e r v e i n t
Milliseconds 104 136 432 80 136 80 48 112 64 80 31 417 352 192 72 144 160 80 208 72 80 128 72 144 32
Character h e w o r l d a n d u n i v e r s e , a d
Milliseconds 104 64 88 56 96 48 104 56 80 80 64 56 80 120 72 128 23 97 112 104 160 32 120 64 112
Character n p o -o -p - -n -d n d p o w e r f u l m o d e
Milliseconds 0 128 112 136 208 144 136 120 184 224 96 88 136 152 64 56 176 136 0 152 112 136 88 48 64
Character r n i n s t u r m e n -n -e -m -r -u r u m e n t s
Milliseconds 104 16 136 96 80 32 120 80 16 144 48 136 144 144 120 152 104 120 96 144 112 72 88 88 24
Character h e l p u s s e e m o r e a n d m o r e
Milliseconds 120 120 23 65 176 72 48 87 97 144 112 48 136 80 56 48 56 112 56 72 64 152 64 64 48
Character . I n t h i s s e c i t o n - -n -o -t -i t i
Milliseconds 72 120 352 168 136 104 32 144 80 55 105 104 112 144 24 120 40 152 208 144 128 152 120 176 56
Character o n w e i n t r o d u c e t h e d i e a s
Milliseconds 128 80 128 56 64 64 136 80 24 72 88 80 136 56 88 56 112 24 80 48 144 0 144 72 72
Character -s -a -e -i -d i d e a s o f a v e r g a -a -g g a g
Milliseconds 184 136 128 136 120 192 32 136 56 72 72 128 48 120 144 152 112 104 192 72 288 160 392 136 152
Character e -e -g -a -g a g e a n d i n s t a n t e n o -o -n
Milliseconds 72 168 144 152 200 56 104 64 107 165 40 95 57 120 80 40 120 72 168 152 288 88 112 296 136
Character -e a n o -o e o u s r a t e e s o -o - -s -e s o
Milliseconds 128 80 96 136 320 96 64 168 104 48 72 80 96 112 152 72 88 136 208 152 168 128 88 88 120
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 80 72 104 56 112 40 280 32 152 144 88 56 72 80 104 48 152 40 112 56 72 48 88 360 104
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 64 104 40 112 48 88 56 32 104 40 128 320 144 96 104 72 112 48 104 80 64 72 88 48 128
Character o t h e s l o p e o f a c u r v e a t
Milliseconds 24 136 40 120 40 96 88 120 184 144 96 72 104 48 88 40 104 72 320 96 136 48 40 136 112
Character a p i -i -p p o i n t P o n t h e c u r
Milliseconds 0 144 48 216 248 152 152 144 168 176 72 112 48 240 168 104 88 120 80 64 64 56 88 112 56
Character v e . W e g i v e p r e c i s e e d e -e -d
Milliseconds 96 88 48 128 120 72 64 144 64 104 39 25 128 48 56 128 88 80 112 48 144 96 96 272 136
Character -e d e v e l o p m e n t s o f t h e s e i m
Milliseconds 135 41 40 160 64 88 152 112 136 112 136 96 104 0 128 96 80 80 72 72 152 120 24 112 72
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 136 128 24 136 80 32 72 96 96 56 72 56 88 120 80 104 23 121 80 120 96 48 96 32 128
Character x -x e x t c h a p t e r , b u t f o r n o
Milliseconds 192 280 152 543 138 55 120 80 120 224 96 112 80 40 127 97 72 64 96 48 104 56 64 128 80
Character w e - -e w e u s e a n i n f o r m a l
Milliseconds 80 120 64 360 136 208 80 64 88 152 96 135 0 153 40 136 112 72 72 80 40 208 80 88 120
Character a p p r a o c -c -o -a o a c h s o y o u w i l
Milliseconds 128 64 144 128 104 0 186 302 136 136 192 48 128 48 112 72 80 120 64 96 23 121 112 40 136
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 120 96 48 144 120 31 137 152 80 64 96 64 64 88 104 136 23 81 104 0 128 23 121 64 88
Character a l l y t o t h e m a i n d i e a -a -e -i -d
Milliseconds 64 136 127 105 56 104 23 129 64 72 96 32 176 104 0 96 136 112 0 136 88 224 136 152 96
Character o i d e a - -a -e -d -i -o i d e a o f t h i s
Milliseconds 192 0 39 145 48 0 200 136 136 136 136 152 192 72 112 65 0 135 64 88 88 48 136 48 88
Character c h a p t e r , . -. t j h e -e -h -j h e l i m i
Milliseconds 56 72 96 88 104 64 80 104 0 344 232 232 81 0 167 184 144 120 240 120 64 152 160 88 120
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 128 56 111 145 168 96 56 112 56 120 64 64 136 88 80 64 96 96 135 73 120 56 48 152 56
Character a y s a f o u n d a t i o n r o l -l -o -r - a
Milliseconds 57 103 120 56 104 55 97 40 144 72 63 41 136 0 104 72 128 103 113 152 176 152 128 160 127
Character l r o e l t -t - -l -e l e t h r o g h o -o -h u
Milliseconds 65 120 48 96 136 0 104 72 351 137 152 104 167 73 72 208 80 136 80 392 112 64 280 136 216
Character g h -h -g -u -g u g h o u t a l c u -u -c -l -a c a l u
Milliseconds 96 48 176 144 248 144 216 96 56 64 152 80 88 208 96 72 128 208 152 144 136 88 40 88 192
Character c -c -u c l u -u -l u l u s .
Milliseconds 184 224 136 104 80 208 272 136 200 160 136 112 104
WPM Timing
Seconds WPM
2.35 86.97
4.69 79.29
7.04 93.79
9.38 93.36
11.73 95.15
14.07 86.97
16.42 87.7
18.77 86.97
21.11 89.24
23.46 87.48
25.8 89.29
28.15 92.51
30.49 96.41
32.84 96.47
35.19 95.49
37.53 94.96
39.88 94.79
42.22 93.22
44.57 95.05
46.91 93.11
49.26 93.79
51.61 93.48
53.95 94.53
56.3 93.15
58.64 92.7
60.99 91.69
63.33 90.76
65.68 88.98
68.03 88.38
70.37 89.35
72.72 90.76
75.06 91.44
77.41 90.84
79.75 91.93
82.1 92.08
84.45 93.36
86.79 92.64
89.14 92.62
91.48 92.87
93.83 92.98
96.17 94.2
98.52 93.18
100.87 93.15
103.21 92.08
105.56 92.65
107.9 92.97
110.25 91.87
112.59 90.38
114.94 89.58
117.29 88.4