fallenrelic (NQ) (Maintrack) (fallenrelic)

Race #2754

View Pit Stop page for race #2754 by fallenrelic — Ghost race

View profile for fallenrelic (NQ) (Maintrack) (fallenrelic)

Official speed 184.25 wpm (56.27 seconds elapsed during race)
Without ending ping 185.20 wpm (287 ms delay sending score to TypeRacer’s server)
Timerless 186.26 wpm (320 ms elapsed before first character typed; 55.66 seconds elapsed during race)
Timerless minus one 186.04 wpm, ignoring the first character typed
Race Start January 3, 2024 3:54:54am UTC
Race Finish January 3, 2024 3:55:50am UTC
Outcome Win (1 of 3)
Accuracy 97.4%
Points 497.48
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 understand how a change in one quantiy ty is related to a change in another. How does the speed of a falling object change as a function of time? How does th elevhwe lhe level of awatwtaer in atert inwwater in a barerrel change as a function of the amount of liquid poured inoti tnto it? We see change occurinring 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 avaergerage and instantaneous rates of change, and show that they are closely related to the slope of a curve of 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 finfnformal approach so you will see how the yleahey leadn naturally to hte he main idea of this chapte,r the xhchapter, the limit. The idea of a limit plays a foundational role throughout calclululus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 320 73 50 76 83 58 94 109 25 58 75 14 64 73 34 52 91 24 52 32 67 45 23 26 91
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 11 39 26 67 33 35 66 25 33 18 59 25 91 50 68 34 34 50 42 58 16 18 34 77 65
Character c h a n g e i n o n e q u a n t i y - -y t
Milliseconds 16 53 21 88 47 38 29 34 27 50 67 23 43 34 41 60 77 42 107 86 59 81 277 109 66
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 16 35 27 67 40 85 45 89 41 50 34 93 15 42 42 59 33 84 17 61 15 109 193 101 92
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 32 34 50 27 74 27 41 68 25 24 77 48 92 102 41 34 41 70 40 24 25 50 59 53 18
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 55 50 50 101 35 33 50 49 35 34 77 16 49 24 94 125 16 35 41 43 49 60 34 42 32
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 126 52 50 50 59 49 38 40 40 57 43 59 60 23 86 26 83 6 61 15 77 41 62 39 35
Character t i m e ? H o w d o e s t h e l e v -h - -e
Milliseconds 57 43 24 51 110 42 134 67 75 25 42 49 61 32 17 34 35 73 51 42 75 70 324 0 0
Character -l -e -v h w e l -h -w -e - -l h e l e v e l o f
Milliseconds 0 0 0 23 62 0 41 84 402 0 0 0 0 33 43 87 83 30 77 67 56 52 66 16 43
Character a w -w -a a t -t -a w t a e r i n -t -a -e -r - -i -n -
Milliseconds 52 0 293 109 125 69 234 100 67 32 9 102 33 32 59 25 69 376 0 0 0 0 0 0 0
Character a t e r t i n -w -t -e -r -t - -i -n w -w -a w a t e r
Milliseconds 110 74 43 74 11 16 24 68 360 0 0 0 0 0 0 0 35 251 101 33 27 49 67 34 50
Character i n a b a r e r -r -e r e l c h a n g e a s
Milliseconds 35 23 48 43 76 92 34 49 51 117 169 91 17 25 70 41 26 75 17 82 21 30 40 36 66
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 26 75 41 35 57 26 57 29 47 25 85 32 69 26 42 68 65 24 44 58 34 48 96 0 40
Character o f l i q u i d p o u r e d i n o t i t
Milliseconds 36 25 66 33 51 23 77 57 27 49 43 48 36 141 43 41 76 23 27 25 92 8 118 25 61
Character -t -n -o -t -i - n t o i t ? W e s e e c h a n
Milliseconds 192 260 0 0 0 0 66 27 57 51 42 51 117 59 60 115 42 75 35 101 42 41 26 84 22
Character g e o c c u r i n -n -i r i n g i n n e a r l
Milliseconds 69 17 42 35 66 109 32 92 66 86 218 116 68 77 33 34 50 50 25 61 66 15 17 8 99
Character y e v e r y t h i n g w e o b s e r v e i
Milliseconds 60 24 44 75 42 8 26 94 22 49 45 50 41 16 45 50 31 36 31 33 26 102 42 61 25
Character n t h e w o r l d a n d u n i v e r s e ,
Milliseconds 14 77 24 51 24 36 14 59 42 67 50 34 25 42 60 7 59 24 86 7 57 9 113 21 45
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 64 34 53 50 22 44 18 41 17 15 94 33 33 60 59 22 36 48 61 23 84 35 33 50 25
Character r u m e n t s h e l p u s s e e m o r e
Milliseconds 17 46 47 51 76 41 41 35 67 33 16 35 49 60 34 48 71 31 101 57 51 18 33 48 17
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 42 25 52 35 40 27 14 27 84 48 119 84 82 20 58 23 51 69 47 62 67 24 26 34 65
Character w e i n t r o d u c e t h e i d e a s o
Milliseconds 43 36 13 69 57 26 40 18 58 42 78 41 33 57 60 35 25 57 51 28 21 35 27 56 27
Character f a v a e r g -g -r -e -a e r a g e a n d i n s
Milliseconds 58 33 35 58 108 35 18 165 119 109 99 111 15 8 102 48 44 42 49 17 136 41 126 42 48
Character t a n t a n e o u s r a t e s o f c h a n g
Milliseconds 35 49 59 178 251 93 50 75 26 42 58 50 57 86 27 39 36 31 60 24 77 41 41 86 42
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 26 66 33 43 51 17 63 60 16 85 118 26 43 81 42 26 42 85 48 25 62 25 57 40 27
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 50 50 43 14 51 25 60 34 42 84 26 69 32 57 16 86 34 58 42 49 50 44 16 57 10
Character l o p e o f a c u r v e o f - -f -o a t
Milliseconds 66 27 100 41 17 75 25 35 41 75 24 86 70 55 67 53 98 61 41 109 100 110 33 23 39
Character a p o i n t P o n t h e c u r v e . W
Milliseconds 54 70 6 26 126 107 34 70 125 110 74 27 48 24 69 15 27 84 57 50 35 41 58 60 69
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 158 23 112 67 84 17 42 40 76 16 111 66 35 16 51 74 36 40 67 23 26 93 68 57 78
Character t s o f t h e s e i m p o r t a n t c o n
Milliseconds 22 54 41 34 56 35 59 49 36 16 117 41 50 35 100 25 35 7 32 68 54 0 105 24 17
Character c e p t s i n t h e n e x t c h a p t e r
Milliseconds 85 25 16 118 49 39 4 44 34 65 34 60 49 85 49 50 50 135 42 49 52 58 59 33 26
Character , b u t f o r n o w w e u s e a n f
Milliseconds 0 58 92 16 16 35 76 23 62 34 31 24 17 85 69 65 67 86 40 35 48 75 77 67 35
Character i n f -f -n -f n f o r m a l a p p r o a c h s o
Milliseconds 23 34 118 303 0 0 32 59 59 31 53 68 57 34 67 42 100 57 78 7 60 67 43 39 44
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 68 31 41 25 45 32 49 29 90 42 7 25 117 9 60 18 41 34 14 71 39 39 0 197 43
Character a -h -e - -y -l -e -a h e y l e a d n - -n n a t u
Milliseconds 23 329 0 0 0 0 0 0 31 51 41 34 17 77 23 35 34 43 225 100 101 101 277 94 65
Character r a l l y t o h t e -h -e - h e m a i n i
Milliseconds 68 22 51 102 42 25 78 34 55 135 10 117 108 311 0 0 33 42 41 42 43 57 17 44 57
Character d e a o f t h i s c h a p t e , r t h e
Milliseconds 52 25 9 50 65 42 34 62 38 26 23 28 48 37 48 49 76 34 16 18 68 24 51 18 66
Character x -h -a -p -t -e -, -r - -t -h -e - h -h -c -x c h a p t e r ,
Milliseconds 329 0 0 0 0 0 0 0 0 0 0 0 0 56 195 98 111 165 61 34 75 58 50 44 41
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 184 49 24 35 67 36 141 23 93 68 93 39 38 107 33 35 41 42 24 35 14 61 41 41 25
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 76 50 143 110 56 71 23 68 25 6 51 61 56 101 77 67 50 24 160 68 15 24 68 26 93
Character a l r o l e t h r o u g h o u t c a l c l u
Milliseconds 41 167 87 32 84 23 53 24 34 77 57 42 34 58 60 73 49 35 26 92 15 43 76 93 92
Character l -l -u -l u l u s .
Milliseconds 68 160 92 114 44 109 33 50 50
WPM Timing
Seconds WPM
1.13 138.61
2.25 202.59
3.38 227.47
4.5 197.26
5.63 198.32
6.75 202.59
7.88 207.16
9 213.25
10.13 213.25
11.25 199.39
12.38 192.9
13.51 176.82
14.63 163.22
15.76 159.18
16.88 159.94
18.01 165.27
19.13 169.35
20.26 164.68
21.38 166.67
22.51 165.8
23.63 171.62
24.76 176.42
25.88 181.26
27.01 185.71
28.14 187.24
29.26 190.29
30.39 186.4
31.51 185.45
32.64 187.51
33.76 189.44
34.89 191.58
36.01 189.93
37.14 190.31
38.26 190.36
39.39 192.23
40.52 194
41.64 195.1
42.77 195.29
43.89 194.11
45.02 195.66
46.14 192.97
47.27 190.91
48.39 188.95
49.52 188.53
50.64 185.06
51.77 185.2
52.9 186.26
54.02 186.15
55.15 186.92
56.27 184.25