urchin (urchinonquit)

Race #4324

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Official speed 124.98 wpm (82.96 seconds elapsed during race)
Without ending ping 125.42 wpm (293 ms delay sending score to TypeRacer’s server)
Timerless 125.58 wpm (103 ms elapsed before first character typed; 82.56 seconds elapsed during race)
Timerless minus one 125.43 wpm, ignoring the first character typed
Race Start January 5, 2024 4:32:46pm UTC
Race Finish January 5, 2024 4:34:09pm UTC
Outcome Win (1 of 5)
Opponents 2. bigswass (111.50 wpm)
3. suhasmaddali007 (102.58 wpm)
Accuracy 97.2%
Points 337.44
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 helps us underrstand how a change in one quantity is related to a chnage 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 asa f a fuincfunction of hthe amount of liquid poured into it? We see change occuring inring in nearly evertythign we ngng 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 instatntaneous rates of change, and hoshow theat they caaare closely related to the slope of a rcurve at a poitn point P on the curve. We give prceisecise 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 th emthje mthe main idea of this chapter, the limit. The idea of a limit plas ys a foundational role throghoutughout clacucalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 103 152 104 112 56 143 641 80 16 80 87 40 113 88 96 32 121 103 49 39 40 48 49 7 64
Character e l p s u s u n d e r r -r s t a n d h o w
Milliseconds 80 48 112 72 24 112 376 248 104 48 55 113 56 120 320 56 40 64 56 57 40 64 96 71 56
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 73 64 55 48 80 345 111 40 64 72 72 56 96 72 64 88 56 32 104 208 96 72 64 128 80
Character i s r e l a t e d t o a c h n a g e -c -h
Milliseconds 64 56 40 105 71 40 104 32 48 136 72 32 40 82 30 96 48 72 120 80 33 56 24 295 0
Character -n -a -g -e - c h a n g e i n a n o t h e r . H
Milliseconds 0 0 0 0 0 128 41 48 72 32 63 41 64 48 63 17 240 71 97 40 56 40 56 24 111
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 80 25 71 72 34 86 32 73 80 63 113 87 81 103 56 105 32 55 73 31 72 265 120 48 72
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 71 145 55 40 41 48 48 71 128 49 23 128 16 129 32 87 41 72 64 200 80 48 95 41 88
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 40 56 80 8 112 23 41 32 112 175 105 32 63 40 56 32 161 15 177 151 89 79 57 40 71
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 24 57 80 24 88 8 96 63 49 64 15 81 80 63 97 40 80 31 73 71 8 72 41 79 48
Character b a r r e l c h a n g e a s a f -f - - -a
Milliseconds 73 71 56 57 135 136 73 72 96 23 81 48 63 41 103 72 33 136 8 112 47 272 128 145 136
Character a f u i n c -f -u -i -n -c f u n c t i o n o f
Milliseconds 95 72 73 40 71 8 73 16 256 0 0 0 0 120 64 47 40 121 8 63 8 136 97 96 15
Character h -h t h e a m o u n t o f l i q u i d p o
Milliseconds 97 384 80 55 57 7 97 40 72 56 39 56 65 40 47 72 105 56 168 63 97 128 32 63 177
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 111 184 224 200 97 63 65 80 16 192 87 57 224 32 71 160 72 89 64 112 72 88 48 71 48
Character g e o c c u r i n g i n -i -n - -g -n -i r i n g
Milliseconds 57 64 40 64 48 111 57 64 71 33 32 79 72 57 248 0 136 151 136 121 376 80 47 56 41
Character i n n e a r l y e v e r t -t y t h i g n w e
Milliseconds 48 79 145 168 119 49 24 104 56 63 121 135 73 64 152 448 72 120 24 63 97 8 40 87 81
Character -w -e - - -n n g -g -n -g n g w e o b s e r v e
Milliseconds 103 201 0 0 120 160 208 72 168 120 128 104 47 57 64 48 47 89 56 168 80 63 145 32 71
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 33 48 87 49 120 128 152 88 55 57 80 55 73 48 32 71 9 80 160 72 95 128 81 32 80
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 80 48 48 80 104 103 73 143 41 16 55 121 56 128 80 55 73 48 127 17 32 144 119 41 55
Character t r u m e n t s h e l p u s s e e m o r e
Milliseconds 33 16 96 343 80 65 32 103 105 64 96 40 104 80 63 72 65 95 65 120 40 64 72 24 72
Character a n d m o r e . I n t h i s s e c t i o
Milliseconds 72 88 32 72 40 47 58 23 47 104 41 96 79 136 49 56 56 79 57 56 48 120 119 41 64
Character n w e i n t r o d u c e t h e i d e a s
Milliseconds 40 88 240 24 119 73 48 79 128 48 89 63 81 56 64 55 49 40 88 72 48 95 65 48 71
Character o f a v e r a g e a n d i n s t a t -t n t a
Milliseconds 57 64 55 97 135 89 48 104 72 48 79 41 71 72 9 168 72 112 80 55 513 368 111 50 70
Character n e o u s r a t e s o f c h a n g e , a n
Milliseconds 200 112 73 56 87 65 40 87 65 40 112 48 64 56 48 127 65 104 40 71 65 80 40 47 89
Character d h o -o -h s h o w t h e -e a t t h e y c a
Milliseconds 47 89 392 80 240 128 71 56 33 64 56 48 64 32 376 63 33 63 56 64 40 88 9 152 56
Character a -a -a -c a r e c l o s e l y r e l a t e d t
Milliseconds 160 136 120 136 95 48 17 87 57 72 120 23 40 65 48 39 89 24 88 64 32 48 144 72 31
Character o t h e s l o p e o f a r -r c u r v e
Milliseconds 48 97 184 56 80 40 88 39 152 153 88 88 119 57 88 64 96 79 249 72 87 49 135 40 105
Character a t a p o i t n -p -o -i -t -n - p o i n t P
Milliseconds 136 159 104 65 80 40 152 80 32 7 176 248 0 0 0 0 0 249 176 191 65 87 89 135 105
Character o n t h e c u r v e . W e g i v e p r c
Milliseconds 79 65 87 33 47 49 87 64 57 56 136 56 79 48 97 120 48 128 111 80 41 48 71 57 151
Character e i s -s -i -e -c e c i s e d e v e l o p m e n t s
Milliseconds 41 88 80 304 143 136 129 39 89 64 63 41 39 160 81 95 49 40 128 112 79 81 71 57 103
Character o f t h e s e i m p o r t a n t c o n c e
Milliseconds 67 45 73 56 79 81 31 32 113 24 63 56 73 144 88 136 88 16 72 64 87 24 65 56 48
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 48 64 80 31 73 48 248 96 31 72 24 56 81 344 79 73 80 79 41 112 87 105 55 32 41
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 136 120 71 72 73 39 64 49 72 48 80 32 103 24 88 177 55 40 81 71 32 73 56 72 31
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 81 63 96 49 95 97 88 416 128 40 87 57 87 120 113 32 71 80 49 24 32 103 73 80 144
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 128 55 65 47 113 64 224 80 56 71 89 80 112 88 24 72 80 48 136 40 72 64 40 72 56
Character a l l y t o t h e m -e -m -t -h - t h j e m -m
Milliseconds 40 40 136 24 120 64 72 256 136 16 144 24 104 320 0 96 0 0 72 32 23 33 32 104 248
Character -t -h -j -e - t h e m a i n i d e a o f t h i
Milliseconds 104 0 0 0 0 96 24 88 7 81 88 56 47 73 72 72 88 32 63 49 56 56 39 41 80
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 56 48 136 96 120 184 64 80 48 56 15 57 64 24 48 216 72 64 376 104 72 79 33 64 64
Character i d e a o f a l i m i t p l a s - -s y
Milliseconds 128 112 24 136 96 120 80 64 56 56 72 112 72 80 72 48 48 32 136 40 152 88 288 128 88
Character s a f o u n d a t i o n a l r o l e t h r
Milliseconds 48 56 40 120 40 40 48 32 48 48 72 40 56 32 152 64 96 64 72 112 16 64 104 24 112
Character o g h o u t -t -u -o -h -g u g h o u t c l a c u -c -l
Milliseconds 40 104 40 80 56 64 200 112 96 120 120 104 72 64 31 81 64 104 160 104 87 97 64 232 0
Character -a -c -u c a l c u l u s .
Milliseconds 0 0 0 96 40 168 248 72 112 136 104 88
WPM Timing
Seconds WPM
1.66 86.79
3.32 115.72
4.98 115.72
6.64 121.15
8.3 128.74
9.95 122.95
11.61 131.22
13.27 134.71
14.93 137.42
16.59 141.76
18.25 144.65
19.91 138.02
21.57 134.08
23.23 135.87
24.89 133.56
26.55 134.26
28.21 129.34
29.86 126.97
31.52 121.81
33.18 122.59
34.84 123.99
36.5 125.26
38.16 126.1
39.82 128.68
41.48 129.32
43.14 131.3
44.8 128.85
46.46 129.93
48.12 128.69
49.77 126.57
51.43 128.32
53.09 127.7
54.75 125.58
56.41 125.72
58.07 125.02
59.73 124.76
61.39 125.89
63.05 126.38
64.71 127.41
66.37 127.48
68.02 128.25
69.68 128.64
71.34 127.16
73 127.06
74.66 127.62
76.32 127.67
77.98 127.11
79.64 127.78
81.3 126.2
82.96 124.98