Berny (syrupsandwich)

Race #23074

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Official speed 155.91 wpm (66.50 seconds elapsed during race)
Without ending ping 156.25 wpm (145 ms delay sending score to TypeRacer’s server)
Timerless 156.95 wpm (294 ms elapsed before first character typed; 66.06 seconds elapsed during race)
Timerless minus one 156.76 wpm, ignoring the first character typed
Race Start December 30, 2023 11:21:44pm UTC
Race Finish December 30, 2023 11:22:50pm UTC
Outcome No win (3 of 13)
Opponents 1. mth_quitless (159.03 wpm)
2. pastashapes (158.90 wpm)
4. ginoo75 (152.93 wpm)
5. pokenonquit (152.27 wpm)
6. primalknight (151.15 wpm)
7. keegant (149.00 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 98.6%
Points 420.96
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 understasnd howunderstand how a change in one quantity is related to a changei n an in a othernother. How does the speed of a falling object change as a function of time? How does the lvelevel of water in a abarrbarrel change as a function of the amount of liquiod pd pureoured into it? We sed e 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 instantaneour s rates of change, and show that they are closely related to the slelope 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 w eue use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limiltt. The idea of a limit plays a foundational 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 294 110 39 97 72 70 90 106 13 33 103 48 73 44 78 57 104 107 43 76 63 57 48 30 58
Character e l p s u s u n d e r s t a s n d h o w -h -o
Milliseconds 78 70 78 42 47 75 75 44 61 107 49 101 59 76 56 48 0 43 78 42 63 27 65 221 0
Character -w -u -n -d -e -r -s -t -a -s -n -d - u n d e r s t a n d h
Milliseconds 0 107 0 0 0 0 0 0 0 0 0 0 0 299 108 46 129 50 86 51 25 61 61 57 43
Character o w a c h a n g e i n o n e q u a n t i
Milliseconds 32 46 66 75 51 78 45 89 23 98 20 39 45 46 78 29 96 0 88 75 59 71 42 80 60
Character t y i s r e l a t e d t o a c h a n g e
Milliseconds 43 91 58 53 41 55 46 76 36 83 75 53 98 57 77 46 43 62 57 77 44 106 15 92 41
Character i n a n -n -a - -n - -i i n a o t h e r -r -e
Milliseconds 77 13 47 61 59 76 239 91 103 154 102 135 136 148 71 37 74 59 45 61 76 28 78 130 93
Character -h -t -o - n o t h e r . H o w d o e s t h e
Milliseconds 156 97 122 134 150 58 72 37 56 45 64 14 136 119 58 75 47 89 46 46 41 78 75 33 86
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 61 32 86 107 104 90 32 73 44 77 44 93 43 32 103 49 71 45 41 49 57 64 56 122 73
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 61 92 46 89 41 61 45 94 59 29 75 89 32 375 90 89 18 78 39 31 56 16 62 61 57
Character t i m e ? H o w d o e s t h e l v e l -l -e
Milliseconds 76 90 77 55 155 60 151 102 80 54 78 56 63 46 57 77 46 59 58 44 153 46 58 215 88
Character -v e v e l o f w a t e r i n a a b a r r
Milliseconds 102 93 89 44 75 60 59 49 87 61 44 70 79 61 48 43 42 79 43 43 105 79 148 29 153
Character -r -r -a -b -a b a r r e l c h a n g e a s a f
Milliseconds 118 89 121 119 122 43 122 62 101 61 61 27 77 46 88 31 57 63 89 46 61 56 93 39 82
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 57 106 44 64 60 43 30 45 76 93 42 152 73 57 92 46 120 76 75 118 60 47 57 88 63
Character l i q u i o d p -p - -d -o d p u r e -e -r -u o u r
Milliseconds 31 56 127 72 30 105 103 76 44 272 90 119 138 103 58 43 61 78 60 254 89 119 153 57 77
Character e d i n t o i t ? W e s e d - -d e c h
Milliseconds 44 107 11 46 45 60 45 47 58 77 151 92 89 103 89 61 60 136 28 288 101 49 300 73 62
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 76 49 57 41 29 34 87 137 59 103 92 46 58 74 31 43 47 75 46 73 43 49 90 31 31
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 56 65 70 61 57 79 58 44 62 58 45 78 42 45 46 77 75 32 70 108 60 31 57 44 63
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 28 76 58 44 79 57 76 44 97 53 77 46 75 42 77 120 43 76 74 77 58 46 62 27 63
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 62 54 44 50 11 46 32 62 88 58 66 39 78 28 61 91 60 61 29 73 47 61 81 95 39
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 98 77 61 42 45 42 64 92 43 45 29 75 59 76 59 77 105 74 58 34 29 56 71 68 44
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 91 45 59 45 60 42 50 45 163 75 59 59 78 30 77 58 59 89 123 58 60 28 32 32 60
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 56 121 182 57 33 105 61 72 100 38 118 60 90 62 59 75 57 16 110 55 90 91 12 48 77
Character a v e r a g e a n d i n s t a n t a n e o u r
Milliseconds 72 63 89 57 124 34 38 89 64 73 44 78 46 41 75 38 83 59 44 94 28 289 85 30 60
Character - -r s r a t e s o f c h a n g e , a n d
Milliseconds 78 329 105 132 96 42 90 72 49 28 31 78 41 90 29 91 58 64 59 45 43 32 76 89 60
Character s h o w t h a t t h e y a r e c l o s e
Milliseconds 44 106 42 47 75 42 61 86 64 45 64 44 60 74 44 62 47 58 42 79 89 57 92 60 43
Character l y r e l a t e d t o t h e s l e -e -l l o
Milliseconds 48 56 34 64 40 43 113 54 91 136 72 76 31 72 61 45 61 75 76 86 49 298 77 403 122
Character p e o f a c u r v e a t a p o i n t
Milliseconds 89 60 58 33 59 58 63 57 35 87 28 122 47 73 75 60 49 64 50 61 32 75 11 50 58
Character P o n t h e c u r v e . W e g i v e p
Milliseconds 105 104 64 56 29 62 61 44 76 59 62 43 106 74 105 46 56 123 75 73 63 57 64 34 63
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 24 72 182 56 63 86 50 87 133 97 44 64 114 75 91 89 91 13 58 31 44 78 44 81 38
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 92 66 54 46 56 32 58 16 61 105 91 27 93 88 90 35 84 48 119 75 43 33 89 76 57
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 33 60 74 75 29 61 45 104 78 44 75 73 79 58 61 89 61 45 25 80 44 90 30 108 27
Character r n o w w e u -u -e - e u s e a n i n f
Milliseconds 90 61 88 31 75 43 93 74 13 47 316 105 104 91 44 28 62 46 60 75 43 43 61 77 61
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 58 61 79 68 49 73 76 76 88 105 28 94 29 45 42 112 9 63 44 40 89 18 107 49 105
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 101 60 48 70 92 76 43 62 33 56 76 57 64 41 34 57 45 59 46 61 73 45 93 80 84
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 44 48 91 57 58 77 32 43 62 75 48 41 88 40 76 51 75 60 111 83 45 60 43 48 89
Character t h i s c h a p t e r , t h e l i m i l t -t
Milliseconds 46 57 49 57 92 71 46 94 41 78 89 62 27 14 94 42 74 71 0 63 18 101 17 91 327
Character -l t . T h e i d e a o f a l i m i t p
Milliseconds 79 75 89 29 62 78 55 51 45 74 91 57 31 57 45 62 74 61 16 57 91 44 77 53 21
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 44 61 75 76 28 109 47 88 30 56 77 57 61 59 34 29 59 58 46 80 46 81 103 38 74
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 42 61 61 60 91 75 43 77 75 61 58 86 51 12 105 34 54 90 62 47
WPM Timing
Seconds WPM
1.33 144.36
2.66 148.87
3.99 102.26
5.32 128.57
6.65 142.56
7.98 142.86
9.31 128.89
10.64 117.29
11.97 124.31
13.3 130.83
14.63 131.24
15.96 134.59
17.29 132.56
18.62 135.34
19.95 129.32
21.28 133.65
22.61 134.81
23.94 130.33
25.27 128.22
26.6 127.67
27.93 127.18
29.26 130.83
30.59 134.16
31.92 136.47
33.25 139.31
34.58 141.58
35.91 143.36
37.24 144.04
38.57 144.98
39.9 145.56
41.23 144.36
42.56 146.05
43.89 147.92
45.22 146.48
46.55 146.17
47.88 147.62
49.21 148.26
50.54 148.63
51.87 149.68
53.2 150.45
54.53 150.96
55.86 150.38
57.19 151.29
58.52 152.36
59.85 153.18
61.18 153.78
62.51 153.38
63.84 154.51
65.17 155.59
66.5 155.91