Fjell osu (preify)

Race #91

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Official speed 117.46 wpm (88.27 seconds elapsed during race)
Without ending ping 117.94 wpm (358 ms delay sending score to TypeRacer’s server)
Timerless 118.29 wpm (262 ms elapsed before first character typed; 87.65 seconds elapsed during race)
Timerless minus one 118.15 wpm, ignoring the first character typed
Race Start July 6, 2023 3:02:28pm UTC
Race Finish July 6, 2023 3:03:56pm UTC
Outcome No win (2 of 4)
Opponents 1. whyme__ (126.05 wpm)
3. pastapower05 (107.51 wpm)
Accuracy 98.5%
Points 317.13
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 quanittity is related to a cahngehhange in another. How does the speed of a falling object change as a function of time? Ho w does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occuring ring in renearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we ointroduce the ideas of average and intanstantaneous rates of change, and hosshow that they are closely trelated to the slope of a curve at a point P on the curve. We give precise developments of these important cnoncepts in the next chapter, but for now we use an informal approach so you will se e how they lead naturally to the main idea of this chapter, the limit. thThe 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 262 93 139 109 139 264 140 77 46 78 77 47 62 77 123 47 124 124 62 61 78 77 140 31 31
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 93 93 46 77 78 77 93 16 170 77 32 76 139 155 140 108 47 77 62 47 77 15 62 78 62
Character c h a n g e i n o n e q u a n i t -t -i t i t
Milliseconds 109 61 78 77 47 31 77 62 46 63 123 77 63 46 139 93 78 61 140 46 434 139 78 124 123
Character y i s r e l a t e d t o a c a h n g e -e
Milliseconds 108 93 125 61 93 218 325 154 62 155 140 123 78 139 61 47 109 93 123 109 0 155 46 32 185
Character -g -n -h h -h -a h a n g e i n a n o t h e r . H
Milliseconds 108 140 108 217 202 109 124 46 78 61 47 46 47 77 47 46 77 63 48 91 62 109 77 62 139
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 217 124 31 93 92 63 108 62 93 78 77 46 93 62 93 109 124 46 62 62 46 78 78 278 79
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 77 107 171 62 16 61 78 31 108 31 93 124 78 108 78 108 16 541 46 62 139 78 46 78 61
Character f u n c t i o n o f t i m e ? H o - - w
Milliseconds 109 171 77 78 138 62 47 31 63 123 31 47 108 47 61 62 155 108 326 155 124 403 155 309 77
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 77 78 78 77 124 62 92 62 77 32 108 31 124 61 93 47 109 52 45 93 92 171 124 124 46
Character i n a b a r r e l c h a n g e a s a f
Milliseconds 62 31 78 154 109 139 47 170 155 216 109 46 93 47 78 61 94 30 47 123 61 78 61 77 169
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 93 61 30 124 62 46 47 46 107 47 62 108 47 95 45 93 77 93 171 46 31 46 93 31 62
Character l i q u i d p o u r e d i n t o i t ? W e
Milliseconds 78 139 62 124 109 30 63 108 140 154 62 140 124 77 93 93 92 109 46 124 47 200 109 201 186
Character s e e c h a n g e o c c u r i n g - -g -n -i
Milliseconds 92 92 139 108 46 61 93 46 92 62 31 47 185 78 123 78 77 95 62 46 48 323 123 124 124
Character r i n g i n r e -e -r n e a r l y e v e r y t
Milliseconds 109 78 62 77 93 62 62 77 249 123 202 108 155 31 77 109 78 93 46 139 94 61 140 60 94
Character h i n g w e o b s e r v e i n t h e w o
Milliseconds 93 76 62 16 77 61 124 62 77 47 139 140 139 62 247 141 108 47 30 93 48 108 30 109 78
Character r l d a n d u n i v e r s e , a n d p o w
Milliseconds 62 108 46 31 93 62 62 46 124 78 124 62 61 141 124 124 77 47 93 92 47 62 108 109 31
Character e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 123 124 109 77 155 47 107 78 61 109 123 63 77 61 47 199 154 108 62 341 108 78 79 140 62
Character h e l p u s s e e m o r e a n d m o r e
Milliseconds 356 155 78 46 109 92 46 62 108 170 125 77 93 62 61 108 16 93 62 62 47 92 31 15 109
Character . I n t h i s s e c t i o n w e o -o i n
Milliseconds 94 76 140 93 77 93 63 61 47 31 155 139 109 155 76 47 31 94 153 124 61 185 263 155 47
Character t r o d u c e t h e i d e a s o f a v e r
Milliseconds 31 124 46 139 77 93 76 77 108 93 75 78 93 92 108 46 169 91 108 140 60 216 139 108 124
Character a g e a n d i n t a n -n -a -t s t a n t a n e o
Milliseconds 139 77 93 61 109 93 76 47 155 46 262 123 108 261 124 109 213 184 139 93 93 170 248 186 139
Character u s r a t e s o f c h a n g e , a n d h
Milliseconds 155 46 47 155 108 139 124 124 62 62 92 32 123 107 31 109 46 60 93 77 124 76 92 31 108
Character o s -s -o -h s h o w t h a t t h e y a r e c
Milliseconds 78 0 278 109 108 264 47 46 76 48 247 77 62 139 62 77 62 108 32 77 46 109 124 0 170
Character l o s e l y t -t r e l a t e d t o t h e s
Milliseconds 140 108 62 124 186 108 47 217 294 62 139 78 31 170 124 124 47 108 92 16 61 124 62 63 93
Character l o p e o f a c u r v e a t a p o i n
Milliseconds 46 123 124 63 46 48 76 46 78 77 124 186 78 186 108 62 77 186 202 62 108 63 139 170 62
Character t P o n t h e c u r v e . W e g i v e
Milliseconds 61 48 155 77 108 109 77 79 76 78 31 92 78 62 93 108 62 94 139 171 77 110 76 77 62
Character p r e c i s e d e v e l o p m e n t s o f
Milliseconds 93 31 77 124 202 92 63 139 109 154 108 125 46 93 139 109 139 62 78 62 154 16 77 77 47
Character t h e s e i m p o r t a n t c n -n o n c e p t
Milliseconds 108 78 78 139 108 62 62 46 156 124 30 124 139 47 108 46 93 155 310 170 93 78 30 140 61
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 155 47 63 46 78 92 47 93 61 62 78 124 155 61 155 77 63 108 108 124 124 61 31 109 47
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 46 93 77 61 47 62 78 46 108 16 371 139 63 77 62 125 60 94 108 91 216 78 62 108 31
Character m a l a p p r o a c h s o y o u w i l l
Milliseconds 108 62 62 77 62 78 108 77 63 62 62 62 78 31 92 48 153 47 138 63 62 46 156 108 30
Character s e - e h o w t h e y l e a d n a t u r
Milliseconds 48 123 217 247 61 62 93 62 93 31 140 77 78 30 108 78 92 62 62 78 31 77 139 62 77
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 109 62 109 30 63 108 77 62 62 92 93 32 76 47 93 46 32 123 123 78 93 62 77 94 61
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 109 77 31 93 0 125 77 77 93 77 124 108 63 77 93 77 78 62 78 154 108 62 93 140 92
Character t h -h -t T h e i d e a o f a l i m i t p
Milliseconds 141 170 200 141 108 78 76 63 124 93 108 62 62 93 63 46 77 62 171 171 76 94 46 78 62
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 46 92 78 108 62 78 78 108 232 170 62 31 77 156 46 77 47 124 93 77 124 93 109 62 30
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 140 63 77 77 140 108 186 185 155 61 140 124 93 46 93 93 154 141 61 107
WPM Timing
Seconds WPM
1.77 101.96
3.53 125.75
5.3 138.21
7.06 122.35
8.83 115.56
10.59 101.96
12.36 108.76
14.12 112.16
15.89 114.05
17.65 115.56
19.42 110.61
21.18 112.72
22.95 111.9
24.72 115.56
26.48 118.28
28.25 118.11
30.01 118.36
31.78 115.18
33.54 113.77
35.31 114.54
37.07 116.2
38.84 116.79
40.6 116.15
42.37 116.69
44.13 117.73
45.9 117.13
47.66 117.07
49.43 115.56
51.2 113.68
52.96 114.42
54.73 112.93
56.49 113.43
58.26 112.88
60.02 113.56
61.79 113.61
63.55 114.42
65.32 114.27
67.08 114.84
68.85 114.69
70.61 115.22
72.38 115.23
74.15 116.2
75.91 116.19
77.68 117.1
79.44 117.97
81.21 117.92
82.97 117.58
84.74 117.82
86.5 118.05
88.27 117.46