Knight_Oikos (knight_oikos)

Race #4740

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Official speed 134.78 wpm (76.93 seconds elapsed during race)
Without ending ping 135.13 wpm (197 ms delay sending score to TypeRacer’s server)
Timerless 135.67 wpm (306 ms elapsed before first character typed; 76.42 seconds elapsed during race)
Timerless minus one 135.51 wpm, ignoring the first character typed
Race Start November 21, 2023 4:42:00am UTC
Race Finish November 21, 2023 4:43:17am UTC
Outcome Win (1 of 3)
Opponents 2. amigo_amor (94.82 wpm)
Accuracy 98.2%
Points 363.90
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 Cacllculus 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 chane ge 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 occuriring 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 sa point P on the curv.e We. We give precise develomenpments of htestheese important concepts in the next chapter, but for now we use an inform apal approach so you will see how they lead naturally to the main idea of this chapter, the limotit. The idea of a liitmit plays a foundational role through calout calculus.
Timing
Character C a c l -l -c l c u l u s i s a t o o l t h
Milliseconds 306 92 102 137 357 102 170 83 110 77 107 143 17 77 116 83 80 87 68 73 103 95 97 30 70
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 30 45 47 78 83 187 66 143 94 51 72 56 156 107 45 92 67 86 73 86 12 110 71 17 52
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 64 56 133 44 74 69 106 3 94 66 45 57 90 83 51 55 63 94 133 130 69 94 59 111 76
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 89 43 48 88 64 65 49 43 63 61 70 71 76 65 46 75 52 105 125 105 65 61 87 67 60
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 55 93 83 117 63 65 55 57 87 56 63 67 109 103 138 130 69 69 97 62 27 72 40 79 84
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 77 89 76 111 118 50 24 92 61 76 73 71 84 149 133 62 84 58 46 73 60 47 80 116 135
Character c h a n e - -e g e a s a f u n c t i o n
Milliseconds 51 92 74 83 36 145 20 327 98 54 47 84 74 71 46 98 64 66 97 103 67 119 60 46 84
Character o f t i m e ? H o w d o e s t h e l e
Milliseconds 86 36 61 96 49 67 83 10 182 84 231 152 213 105 72 54 101 54 33 65 43 85 47 112 120
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 130 40 49 95 74 48 94 44 69 50 84 52 63 76 79 59 78 87 60 111 80 305 83 121 108
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 71 74 80 38 49 81 63 72 63 76 83 68 59 105 109 42 134 72 59 79 65 38 56 98 43
Character h e a m o u n t o f l i q u i d p o u r e
Milliseconds 55 60 98 69 104 96 57 129 50 64 37 89 52 70 56 134 87 48 81 87 219 86 69 76 83
Character d i n t o i t ? W e s e e c h a n g e
Milliseconds 51 70 60 67 384 81 89 74 82 181 152 132 194 90 81 61 90 72 81 46 63 68 57 57 68
Character o c c u r i -i r i n g i n n e a r l y e v e
Milliseconds 60 47 109 87 120 100 311 92 108 76 55 66 91 77 98 78 52 53 61 69 44 40 131 120 99
Character r y t h i n g w e o b s e r v e i n t h e
Milliseconds 70 80 92 83 25 71 61 65 72 74 71 55 80 96 61 62 137 85 130 42 85 107 18 89 37
Character w o r l d a n d u n i v e r s e , a n d
Milliseconds 60 50 52 108 56 93 43 88 87 62 64 93 126 91 28 103 73 42 62 38 85 53 60 47 69
Character p o w e r f u l m o d e r n i n s t r u m e n
Milliseconds 62 29 57 33 38 78 78 50 73 146 54 28 102 57 42 84 83 66 80 101 68 43 100 88 43
Character t s h e l p u s s e e m o r e a n d m
Milliseconds 69 75 30 73 118 47 78 80 64 110 39 117 102 140 80 127 60 27 48 56 41 70 55 67 103
Character o r e . I n t h i s s e c t i o n w e i
Milliseconds 56 46 33 99 71 142 118 122 35 91 42 14 86 37 89 140 147 25 52 87 88 65 61 79 93
Character n t r o d u c e t h e i d e a s o f a v e
Milliseconds 61 57 63 91 70 89 77 124 49 115 37 85 84 43 69 90 67 108 61 38 110 73 70 102 122
Character r a g e a n d i n s t a n t a n e o u s r a
Milliseconds 74 82 84 54 75 49 98 72 65 67 83 34 77 73 70 94 194 160 106 104 42 81 73 90 85
Character t e s o f c h a n g e , a n d s h o w t
Milliseconds 80 53 95 22 20 88 75 100 23 81 76 77 56 48 63 37 71 82 105 38 85 53 52 58 75
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 100 48 56 131 62 63 52 94 31 50 55 48 74 99 70 105 67 52 71 68 38 59 35 60 94
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 82 53 94 59 85 33 72 77 81 56 71 51 92 108 68 84 54 59 30 92 60 78 53 100 54
Character v e a t s -s a p o i n t P o n t h e
Milliseconds 129 61 48 204 73 73 114 458 78 63 94 18 84 74 57 80 117 106 82 99 76 27 64 43 66
Character c u r v . e W -W - -e -. e . W e g i v e p r
Milliseconds 82 71 87 119 108 1 52 147 281 109 221 150 124 88 46 100 138 132 315 90 47 67 62 86 107
Character e c i s e d e v e l o m e n -n -e -m p m e n t s
Milliseconds 58 133 131 65 65 68 230 155 103 57 42 126 155 108 58 230 94 115 177 141 61 86 46 88 26
Character o f h t e s -s -e -t -h t h e e -e s e i m p o r t
Milliseconds 29 110 50 134 0 177 63 238 93 103 105 126 72 97 77 345 222 79 111 93 118 73 49 73 77
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 121 24 60 188 79 71 68 23 120 88 90 70 68 47 76 107 0 89 38 79 75 10 134 110 54
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 67 67 66 83 45 112 56 51 64 120 58 100 50 95 38 98 56 78 27 127 159 355 70 79 107
Character s e a n i n f o r m a p -p -a - a l a p p r
Milliseconds 69 54 80 51 90 85 41 57 59 72 82 130 120 78 77 320 94 114 156 65 81 58 58 125 66
Character o a c h s o y o u w i l l s e e h o w
Milliseconds 108 19 100 64 71 105 53 75 47 56 56 37 33 88 29 114 70 78 52 113 78 318 43 69 74
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 31 81 51 53 53 80 40 50 92 41 126 23 72 97 44 54 66 118 54 32 61 57 60 79 34
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 80 65 89 97 63 75 82 52 62 73 73 64 25 85 68 81 39 34 64 60 125 38 91 73 67
Character e r , t h e l i m o t -t -o i t . T h e i d
Milliseconds 108 61 7 70 86 43 100 31 102 51 114 94 106 254 95 229 71 51 65 80 85 65 70 28 51
Character e a o f a l i i t -t -i m i t p l a y s a
Milliseconds 94 65 15 75 121 85 56 108 73 48 192 129 277 105 173 29 76 79 79 71 48 121 33 163 32
Character f o u n d a t i o n a l r o l e t h r o u g
Milliseconds 131 99 404 50 104 43 82 64 74 39 79 98 77 98 62 71 98 92 129 222 83 95 44 37 87
Character h c a l -l -a -c - o u t c a l c u l u s .
Milliseconds 32 70 78 109 8 282 93 100 180 171 54 72 93 66 66 72 94 102 100 101 99 78
WPM Timing
Seconds WPM
1.54 46.8
3.08 101.4
4.62 111.8
6.15 126.75
7.69 135.72
9.23 140.4
10.77 139.28
12.31 141.37
13.85 137.8
15.39 138.06
16.92 138.27
18.46 138.45
20 139.8
21.54 141.51
23.08 140.92
24.62 138.45
26.15 136.73
27.69 137.8
29.23 139.57
30.77 140.79
32.31 143
33.85 143.23
35.39 144.8
36.92 144.95
38.46 145.39
40 145.2
41.54 146.46
43.08 147.36
44.62 148.46
46.16 148.46
47.69 146.69
49.23 144.3
50.77 143
52.31 141.54
53.85 139.73
55.39 136.71
56.92 136.81
58.46 137.73
60 137.4
61.54 136.69
63.08 136.21
64.62 136.68
66.16 137.86
67.69 138.8
69.23 137.62
70.77 138.02
72.31 137.08
73.85 136.82
75.39 135.46
76.93 134.78