(keegant)

Race #999971

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Official speed 149.00 wpm (69.58 seconds elapsed during race)
Without ending ping 150.04 wpm (243 ms delay sending score to TypeRacer’s server)
Timerless 150.21 wpm (78 ms elapsed before first character typed; 69.26 seconds elapsed during race)
Timerless minus one 150.04 wpm, ignoring the first character typed
Race Start December 30, 2023 11:21:44pm UTC
Race Finish December 30, 2023 11:22:53pm UTC
Outcome No win (7 of 13)
Opponents 1. mth_quitless (159.03 wpm)
2. pastashapes (158.90 wpm)
3. syrupsandwich (155.91 wpm)
4. ginoo75 (152.93 wpm)
5. pokenonquit (152.27 wpm)
6. primalknight (151.15 wpm)
8. hospitalforsouls2 (137.24 wpm)
9. charlieog (135.98 wpm)
10. jlachney (121.19 wpm)
11. zak389 (113.09 wpm)
12. jepslol (112.64 wpm)
Accuracy 97.1%
Points 402.29
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 uis uns understand how t a change in one quantity is related to change is a change in another. How does the speed of falla falling object change as a function of time? How does the level of water in a barelrel change as a function of the amount of liquid poured into it?W e We see change coroccuring ring in nearly evertyything we observe in the world and univers,e, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instanteaneous rateso f c of change, and show that they are closely related to the clopsloe of alope of a curve at a point P on the curve. We give precise developments of these important oncconcepts in the next chapter, but for now we use an informal approchaach so you will see how they lead naturally to the main oidea of this chpaapter, the limit. The idea of the a lmit imit plays a foundationlal role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 78 41 128 103 88 72 88 74 62 88 57 71 81 89 23 65 88 54 64 48 57 39 40 24 58
Character e l p s u i s u n -i -s - -u -n s u n d e r s t
Milliseconds 54 72 40 24 73 55 8 40 64 82 46 224 0 0 0 0 48 64 65 41 38 88 64 88 58
Character a n d h o w t - -t a c h a n g e i n o
Milliseconds 48 64 42 46 48 30 24 64 41 169 225 71 54 80 49 71 41 65 40 40 38 41 47 58 65
Character n e q u a n t i t y i s r e l a t e d t o
Milliseconds 41 36 41 153 66 119 69 99 47 78 123 39 49 71 65 64 37 75 54 48 64 63 48 75 37
Character c h a n g e $i -h -a -n -g -e - s - -s -i a c h a
Milliseconds 65 71 77 45 41 54 17 55 263 0 0 0 0 0 0 89 72 234 94 112 408 64 55 73 42
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 54 64 24 64 72 48 64 80 66 24 63 55 58 30 58 71 89 94 17 95 48 80 32 34 54
Character t h e s p e e d o f f a l l -f -a -l -l a f a
Milliseconds 48 57 41 54 48 40 98 119 71 24 88 58 30 248 72 162 118 296 0 0 0 424 64 129 81
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 95 95 58 38 50 38 57 47 65 47 42 142 51 95 40 72 25 65 39 37 82 30 58 53 89
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 41 64 42 53 106 41 47 64 41 71 66 52 72 53 28 47 72 75 101 123 64 64 38 64 59
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 23 47 113 77 51 25 70 47 71 48 51 37 82 30 59 64 30 71 88 75 14 34 40 89 71
Character b a r e l -l -e r e l c h a n g e a s a f
Milliseconds 94 82 38 216 96 112 322 88 88 30 51 61 41 81 31 64 41 38 33 143 64 48 81 81 42
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 53 42 47 112 47 41 54 48 287 59 64 78 111 49 64 136 98 64 30 66 40 40 48 64 37
Character l i q u i d p o u r e d i n t o i t ? W e
Milliseconds 241 41 71 88 60 0 60 166 68 46 89 41 88 30 58 25 63 38 74 62 64 81 72 0 128
Character - -e - -W W e s e e c h a n g e c o r -r -o
Milliseconds 55 204 95 130 99 146 96 111 95 98 54 106 94 65 55 48 40 64 34 48 89 40 101 264 96
Character -c o c c u r i n g - -g -n -i r i n g i n n e a
Milliseconds 122 136 102 122 88 71 176 55 75 64 295 105 109 105 47 90 23 39 42 41 30 64 65 47 23
Character r l y e v e r t y -y -t y t h i n g w e o b s
Milliseconds 59 54 82 40 61 82 56 86 140 111 230 96 151 84 70 30 41 41 30 58 65 48 41 46 30
Character e r v e i n t h e w o r l d a n d u n i
Milliseconds 41 47 113 40 34 61 41 64 48 83 47 53 65 34 77 24 100 39 24 62 39 65 160 98 61
Character v e r s , -, e , a n d p o w e r f u l m o d
Milliseconds 147 104 72 64 78 352 96 75 77 18 84 27 49 62 32 41 10 53 96 40 48 58 94 24 72
Character e r n i n s t r u m e n t s h e l p u s s
Milliseconds 81 57 30 83 37 58 54 40 24 59 111 65 70 55 51 55 59 75 65 18 77 81 55 88 136
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 57 95 75 48 47 47 31 40 41 58 48 37 51 24 53 24 54 70 63 61 75 64 30 48 33
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 62 64 99 54 135 9 56 41 65 29 65 47 72 52 47 39 32 103 50 88 47 54 52 29 65
Character i d e a s o f a v e r a g e a n d i n s
Milliseconds 41 53 35 48 39 50 36 33 65 65 48 77 76 76 59 71 41 47 41 65 47 47 71 65 65
Character t a n t e -e a n e o u s r a t e s o f c -c -
Milliseconds 47 106 77 71 81 330 70 66 88 40 30 64 42 101 25 88 64 10 48 16 102 82 71 218 118
Character -f - -o o f c h a n g e , a n d s h o w t
Milliseconds 130 134 119 88 84 45 55 64 75 61 57 41 40 54 60 47 64 47 30 72 58 23 71 82 71
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 65 54 57 37 75 41 70 42 30 82 47 23 48 105 66 46 65 30 48 88 34 102 24 75 53
Character t e d t o t h e c l o p $s -l -o -p l o e o f
Milliseconds 40 65 66 53 58 30 88 41 46 43 47 176 71 136 41 288 0 0 0 82 119 94 41 31 88
Character a -l -o -e - -o -f - -a l o p e o f a c u r v e
Milliseconds 58 72 511 0 0 0 0 0 0 0 112 121 38 75 30 42 64 53 42 105 7 81 72 130 29
Character a t a p o i n t P o n t h e c u r v
Milliseconds 47 64 66 40 53 89 71 34 102 17 40 31 88 75 95 41 48 53 51 48 24 78 58 88 118
Character e . W e g i v e p r e c i s e d e v e l o
Milliseconds 34 61 51 78 88 24 105 71 82 48 23 65 71 64 78 99 29 48 65 95 76 77 57 31 105
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 41 102 88 40 66 46 48 64 48 57 72 34 53 42 89 47 54 64 64 41 71 10 73 16 72
Character o n c -c -n -o c o n c e p t s i n t h e n e
Milliseconds 205 218 47 31 193 95 106 94 74 32 30 58 40 95 48 64 31 40 100 29 41 54 24 75 47
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 112 41 61 58 88 48 65 41 93 56 63 64 64 35 61 34 65 53 64 48 129 31 57 194 149
Character e u s e a n i n f o r m a l a p p r o c h
Milliseconds 41 34 101 48 50 72 78 82 23 119 40 75 48 88 61 81 530 112 29 65 107 46 55 87 88
Character a -a -h -c a c h s o y o u w i l l s e e h
Milliseconds 41 258 96 104 119 65 54 128 138 86 48 35 63 25 37 40 59 6 94 35 65 37 98 71 41
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 29 60 39 61 51 54 48 35 37 88 35 70 31 104 83 58 43 104 24 64 90 40 30 99 48
Character t h e m a i n o -o i d e a o f t h i s
Milliseconds 88 61 80 58 31 65 64 47 41 54 59 287 65 48 78 22 0 35 65 53 72 10 48 47 43
Character c h p a -a -p a p t e r , t h e l i m i t . T
Milliseconds 140 17 200 19 229 112 53 52 88 89 89 22 65 54 81 65 24 54 57 55 47 65 64 82 63
Character h e i d e a o f t h e $a -h -e - l m i t
Milliseconds 38 48 64 59 35 47 29 7 63 42 54 58 64 54 48 464 0 0 0 106 271 126 21 94 47
Character -m -i -t - i m i t p l a y s a f o u n d a t i
Milliseconds 336 0 0 0 64 65 54 82 41 111 48 54 81 65 40 102 65 47 24 44 39 29 81 65 47
Character o n l -l a l r o l e t h r o u g h o u t c a
Milliseconds 41 54 99 353 461 122 144 57 47 58 36 42 40 72 70 58 38 33 79 100 53 47 64 162 48
Character l c u l u s .
Milliseconds 89 101 87 82 79 88 64
WPM Timing
Seconds WPM
1.39 155.21
2.78 155.21
4.18 149.46
5.57 159.52
6.96 151.76
8.35 137.96
9.74 147.82
11.13 141.2
12.53 137.96
13.92 144
15.31 148.15
16.7 153.05
18.09 149.24
19.48 149.67
20.88 151.18
22.27 149.82
23.66 147.09
25.05 142.75
26.44 139.32
27.83 137.1
29.23 142.07
30.62 140.71
32.01 143.21
33.4 145.15
34.79 148.31
36.18 151.23
37.58 153.29
38.97 152.13
40.36 148.96
41.75 151.47
43.14 153.54
44.53 149.28
45.93 148.68
47.32 150.14
48.71 151.02
50.1 152.33
51.49 150.55
52.88 152.26
54.28 152.56
55.67 151.76
57.06 150.16
58.45 151.51
59.84 152.6
61.23 153.25
62.63 152.33
64.02 152.58
65.41 150.44
66.8 150.72
68.19 149.93
69.58 149