èssmann (mollyqt)

Race #5600

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Official speed 174.17 wpm (59.53 seconds elapsed during race)
Without ending ping 174.59 wpm (144 ms delay sending score to TypeRacer’s server)
Timerless 175.51 wpm (310 ms elapsed before first character typed; 59.07 seconds elapsed during race)
Timerless minus one 175.31 wpm, ignoring the first character typed
Race Start January 12, 2024 9:29:39pm UTC
Race Finish January 12, 2024 9:30:38pm UTC
Outcome Win (1 of 2)
Accuracy 98.1%
Points 470.27
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 undersatnd hnderstand 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 timeP? ? How does the level of water in a barrel change as a function of the mamount of liquid poured into it? We see change occurring in nearly everything we observe in the world and unvierseyniversniverse, and powerful modern instruments help us see moarae amorore and more. In this section we introduce the ideas of average and instanataneous reatates 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 yuoou will see how they lead naturally to the main idea of this chapter, wethe limit. The idea of a limit plays a foundational role throughougt t calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 310 188 88 87 114 132 68 93 49 50 59 69 39 73 27 55 93 88 52 54 47 51 61 28 97
Character e l p s u s u n d e r s a t n d h -n -d -e -r -s
Milliseconds 50 50 24 72 57 49 51 63 65 25 69 46 111 63 68 10 79 62 49 62 293 0 0 0 0
Character -a -t -n -d - -h n d e r s t a n d h o w a c h a
Milliseconds 0 0 0 0 0 0 27 36 65 87 77 68 22 57 71 46 54 25 45 51 75 68 25 49 45
Character n g e i n o n e q u a n t i t y i s r e
Milliseconds 40 64 21 34 36 28 84 62 21 75 23 53 72 77 59 98 99 56 21 49 74 38 59 34 52
Character l a t e d t o a c h a n g e i n a n o t
Milliseconds 48 28 78 52 83 35 86 32 57 75 69 50 47 24 50 63 16 28 31 20 101 65 6 41 106
Character h e r . H o w d o e s t h e s p e e d o
Milliseconds 25 106 27 64 77 111 158 108 29 50 85 85 24 43 42 30 79 38 89 64 75 125 27 41 31
Character f a f a l l i n g o b j e c t c h a n g e
Milliseconds 104 64 78 70 27 58 32 116 42 21 45 42 35 93 34 82 168 32 42 101 46 29 46 57 17
Character a s a f u n c t i o n o f t i m e P ?
Milliseconds 45 70 46 74 89 92 53 69 23 67 42 54 18 46 65 67 76 30 112 52 35 70 97 0 113
Character - -? -P ? H o w d o e s t h e l e v e l o
Milliseconds 205 119 119 131 119 95 155 62 34 49 63 27 23 51 45 41 55 56 77 47 71 63 56 22 103
Character f w a t e r i n a b a r r e l c h a n g
Milliseconds 33 44 57 33 76 69 22 60 55 28 56 43 104 62 49 29 130 28 47 28 87 48 25 49 36
Character e a s a f u n c t i o n o f t h e m -m
Milliseconds 20 38 60 48 50 96 65 76 63 34 71 41 59 27 16 76 50 67 45 77 28 11 76 63 237
Character a m o u n t o f l i q u i d p o u r e d i
Milliseconds 75 65 68 77 61 56 45 38 85 39 189 132 153 83 44 116 50 40 76 84 104 49 84 20 47
Character n t o i t ? W e s e e c h a n g e o c c
Milliseconds 31 67 49 76 69 90 91 77 27 308 117 41 41 146 58 33 54 43 30 48 21 33 62 55 140
Character u r r i n g i n n e a r l y e v e r y t h i
Milliseconds 116 43 112 76 26 23 56 54 16 68 77 51 38 5 108 57 45 56 60 72 18 45 91 20 58
Character n g w e o b s e r v e i n t h e w o r l
Milliseconds 27 47 52 61 27 61 56 42 104 30 48 125 20 48 68 29 52 52 39 11 56 44 66 31 100
Character d a n d u n v i e r s e -n -v -i -e -r -s -e y n i v
Milliseconds 35 41 35 56 52 38 35 35 98 11 122 33 49 56 318 0 0 0 0 0 0 4 27 124 67
Character e r s -y -n -i -v -e -r -s n i v e r s e , a n d p o
Milliseconds 101 58 23 245 0 0 0 0 0 0 28 102 41 111 55 16 76 77 69 48 62 49 41 57 34
Character w e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 34 18 33 111 47 50 102 52 49 52 57 61 70 76 90 37 64 45 32 52 91 146 103 64 43
Character h e l p u s s e e m o a r a e a m o r -o
Milliseconds 74 93 74 34 28 141 61 58 40 81 35 125 45 39 83 22 62 8 54 63 105 76 37 46 320
Character -a -r -a -e - -a -m -o -r o r e a n d m o r e . I n
Milliseconds 0 0 0 0 0 0 0 0 0 36 54 26 65 54 34 66 48 42 31 49 22 82 39 108 100
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 26 48 55 37 22 72 66 38 139 28 35 21 22 48 48 38 70 39 23 45 28 77 84 68 91
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 37 68 56 43 12 77 57 32 42 42 59 66 62 55 56 33 72 117 45 12 96 29 34 52 40
Character d i n s t a n a -a t a n e o u s r e a t -t -a -e
Milliseconds 67 36 49 34 35 34 59 53 166 250 50 43 61 78 81 33 45 60 57 40 44 88 243 106 104
Character a t e s o f c h a n g e , a n d s h o w
Milliseconds 17 31 62 36 35 75 57 57 74 48 23 64 53 14 98 73 53 73 50 42 41 58 26 70 22
Character t h a t t h e y a r e c l o s e l y r e l
Milliseconds 53 61 30 77 20 103 27 42 91 34 59 89 20 64 82 56 97 7 43 89 34 55 69 30 56
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 19 76 64 68 21 104 44 44 79 44 22 59 21 98 175 75 77 48 63 51 69 30 100 27 75
Character r v e a t a p o i n t P o n t h e c
Milliseconds 108 171 49 49 68 60 46 51 94 134 13 686 48 122 62 180 123 83 50 54 36 51 25 68 45
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 68 83 147 20 88 39 83 130 52 31 86 77 17 28 56 56 42 110 50 55 20 50 48 55 120
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 38 17 134 0 162 79 91 32 35 71 68 69 41 92 68 63 30 103 56 21 22 84 31 49 35
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 42 30 88 44 150 85 27 62 33 66 90 12 78 15 31 102 227 91 96 82 91 49 130 64 57
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 75 43 116 52 104 45 29 79 68 48 93 67 34 92 27 90 31 30 35 37 63 74 49 49 59
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 66 14 55 64 57 65 50 41 49 62 105 20 100 28 88 55 51 103 68 78 89 56 21 154 177
Character o y u o -u -o o u w i l l s e e h o w t h
Milliseconds 82 56 40 69 16 378 0 41 24 73 42 42 22 102 44 51 31 113 51 38 28 36 64 44 52
Character e y l e a d n a t u r a l l y t o t h e
Milliseconds 40 54 38 39 72 20 33 49 90 50 48 58 74 24 69 68 50 49 87 31 83 61 40 27 78
Character m a i n i d e a o f t h i s c h a p t e r
Milliseconds 59 38 104 35 46 94 62 61 42 62 200 65 48 69 27 29 26 65 56 46 98 93 68 57 21
Character , w e -e -w t h e l i m i t . T h e i d e a
Milliseconds 77 51 67 39 201 163 94 70 21 61 60 62 80 92 120 79 76 77 66 41 48 43 47 34 20
Character o f a l i m i t p l a y s a f o u n d
Milliseconds 73 31 63 62 76 77 71 55 119 105 150 38 74 40 23 44 62 29 90 73 13 51 34 33 44
Character a t i o n a l r o l e t h r o u g h o u g t
Milliseconds 76 46 43 35 16 144 105 103 23 33 54 72 53 91 24 110 8 26 118 20 47 26 108 167 77
Character - -t -g t c a l c u l u s .
Milliseconds 190 89 90 48 63 82 48 58 129 78 94 39 101 49
WPM Timing
Seconds WPM
1.19 100.79
2.38 156.23
3.57 120.95
4.76 148.67
5.95 161.27
7.14 174.71
8.33 174.23
9.52 177.65
10.72 179.19
11.91 176.39
13.1 172.26
14.29 175.55
15.48 179.88
16.67 178.55
17.86 176.72
19.05 175.76
20.24 175.5
21.43 178.63
22.62 181.43
23.81 177.4
25 172.79
26.19 174.55
27.38 174.42
28.57 170.51
29.76 172.15
30.95 174.06
32.15 176.2
33.34 175.31
34.53 173.43
35.72 175.38
36.91 176.55
38.1 176.7
39.29 175.62
40.48 173.13
41.67 173.65
42.86 174.15
44.05 175.16
45.24 174.53
46.43 174.45
47.62 175.88
48.81 175.28
50 174.47
51.19 175.8
52.38 176.39
53.58 176.28
54.77 174.85
55.96 175.21
57.15 175.97
58.34 175.46
59.53 174.17