Missing_Voyager (missing_voyager)

Race #39

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Official speed 86.73 wpm (119.54 seconds elapsed during race)
Without ending ping 86.91 wpm (246 ms delay sending score to TypeRacer’s server)
Timerless 87.06 wpm (201 ms elapsed before first character typed; 119.10 seconds elapsed during race)
Timerless minus one 86.96 wpm, ignoring the first character typed
Race Start April 23, 2025 1:03:53pm UTC
Race Finish April 23, 2025 1:05:53pm UTC
Outcome No win (2 of 4)
Opponents 1. nova_byrdy (88.90 wpm)
Accuracy 97.8%
Points 234.17
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 tookl that helps us understnaand how a change in one quanititity is related to a change in another,. how dHow does the speed of a falling object change as a function of time? How does the leve ol of water in a barerel change as a function of the amount of liquid poured into it? We see change occuriring in enearly everything we observe in the world and universe., and pwerfpowerful modern instruments help us see more and more. I n this section we introudduce the ideas of average and instantaneous rates of change, and show that they are closely related to the sloppe e of a curve at apoina poijntntnt P on the curve. We give precise developemenmment s of these important concepts on tin 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 rrolrole throughout calculus.
Timing
Character C a c l -l -c l c u l u s i s a t o o k -k l
Milliseconds 201 568 248 151 434 116 316 183 101 132 167 117 100 100 200 84 100 83 133 51 116 133 300 167 116
Character t h a t h e l p s u s u n d e r s t n a -a -n
Milliseconds 101 83 16 84 67 83 84 82 217 117 100 233 100 117 133 150 84 133 133 150 233 117 84 183 101
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 149 133 84 83 266 51 116 100 100 67 217 66 67 117 33 66 84 84 116 100 84 116 84 82 284
Character u a n i t i -i -t -i t i t y i s r e l a t e d
Milliseconds 100 100 116 166 118 100 249 117 100 350 67 100 100 100 117 83 117 116 84 100 83 67 83 150 117
Character t o a c h a n g e i n a n o t h e r , -, .
Milliseconds 83 100 100 50 133 117 100 67 101 48 84 68 98 117 133 0 184 50 100 100 50 84 150 249 167
Character h o w d -d -h -o -w - H o w d o e s t h e s
Milliseconds 135 231 50 50 134 66 300 567 0 0 0 283 184 117 200 166 100 67 117 66 117 50 83 67 99
Character p e e d o f a f a l l i n g o b j e c t
Milliseconds 68 99 102 165 100 117 116 84 99 84 134 99 83 183 167 134 83 84 66 100 133 84 150 100 100
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 116 100 84 83 67 67 99 117 100 151 49 134 49 101 149 84 116 84 33 118 82 83 101 100 50
Character i m e ? H o w d o e s t h e l e v e o -o
Milliseconds 117 199 317 300 117 216 100 100 117 133 67 83 117 100 83 67 66 84 17 100 100 66 150 100 550
Character - l o f w a t e r i n a b a r e -e r e l
Milliseconds 117 417 166 150 100 133 150 83 84 150 83 50 101 133 83 67 101 115 85 132 84 349 84 100 116
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 133 117 100 67 117 49 67 100 101 132 134 51 215 67 85 165 50 117 84 32 101 99 118 66 466
Character t h e a m o u n t o f l i q u i d p o u r
Milliseconds 101 83 83 67 167 83 84 66 184 83 349 150 100 51 83 67 134 182 84 101 99 166 200 134 83
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 67 149 101 83 134 150 83 99 152 100 282 116 217 200 101 116 117 183 149 201 83 51 116 16 117
Character o c c u r i -i r i n g i n e -e n e a r l y
Milliseconds 100 300 134 116 117 84 99 366 67 117 133 117 67 167 151 132 116 317 150 83 67 67 101 82 117
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 133 150 118 65 84 100 83 35 148 84 100 49 84 100 133 100 183 84 100 200 67 183 116 200 150
Character t h e w o r l d a n d u n i v e r s e . -. ,
Milliseconds 67 84 66 83 51 116 67 84 99 83 101 99 101 50 99 333 118 67 166 83 150 67 499 267 152
Character a n d p w e r f -p -w -e -r -f p o w e r f u l m
Milliseconds 132 83 67 100 66 50 84 34 83 199 400 0 0 0 0 302 182 50 50 616 200 84 100 116 184
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 100 100 133 85 115 101 66 117 99 84 116 117 250 100 83 84 84 99 133 283 117 168 150 182 83
Character s e e m o r e a n d m o r e . I - n
Milliseconds 100 84 100 133 134 166 67 33 67 149 118 83 83 83 185 15 101 83 967 133 166 135 365 150 101
Character t h i s s e c t i o n w e i n t r o u d -d -u
Milliseconds 116 52 65 67 100 66 118 199 117 66 33 117 84 133 117 116 117 117 66 151 50 116 217 266 117
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 83 100 83 183 118 66 67 83 50 83 67 133 100 117 117 100 99 101 100 151 165 84 133 67 83
Character a n d i n s t a n t a n e o u s r a t e s
Milliseconds 68 148 68 133 116 268 149 67 67 117 132 450 250 150 101 182 50 151 133 200 67 99 68 466 100
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 166 84 66 567 50 100 83 67 84 183 116 84 100 83 51 116 84 33 99 100 84 84 49 67 84
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 83 100 66 67 116 84 17 83 100 84 83 116 67 83 83 100 117 100 50 100 100 50 100 133 100
Character t o t h e s l o p p e - -e -p e o f a c
Milliseconds 84 67 82 101 68 65 84 82 50 136 132 532 150 135 182 100 350 67 133 100 84 133 83 133 84
Character u r v e a t a p o i n -a -p -o -i -n a p o i j n
Milliseconds 150 67 266 133 84 133 84 101 65 117 116 101 133 283 0 0 0 0 650 117 167 116 101 116 33
Character t -t -n n t -t -n -j n t P o n t h e c u r v e
Milliseconds 67 401 116 182 119 231 101 500 183 84 133 167 216 150 133 85 65 117 0 200 50 150 50 150 66
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 117 117 233 234 283 83 117 66 217 200 118 115 67 201 116 101 149 117 167 133 116 67 50 150 83
Character e m e n -n -e -m m -m -e m e n t - s o f t h e s
Milliseconds 133 134 83 100 300 100 134 549 250 100 217 83 134 50 150 333 83 101 100 83 117 50 282 85 116
Character e i m p o r t a n t c o n c e p t s o n t
Milliseconds 49 117 101 299 183 135 49 150 67 133 50 100 117 67 99 67 133 100 184 133 133 117 133 117 68
Character -t -o -n - i n t h e n e x t c h a p t e r ,
Milliseconds 332 450 0 0 267 133 100 67 99 67 117 199 51 151 99 100 116 67 84 100 66 117 100 66 117
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 117 83 83 68 116 84 99 50 133 84 18 149 249 67 117 167 50 83 134 149 133 317 134 116 84
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 532 101 283 116 101 133 100 117 133 150 100 67 101 115 102 115 83 84 117 49 84 100 100 66 150
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 100 101 83 83 133 134 116 67 183 134 100 83 83 67 150 50 67 100 66 150 151 83 83 101 99
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 83 67 117 133 101 133 67 99 83 101 83 100 183 100 83 100 84 99 85 132 84 83 100 100 100
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 100 83 50 84 99 167 134 66 117 100 133 84 116 100 184 99 84 66 84 51 199 67 100 133 116
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 167 150 67 100 116 84 133 100 117 83 117 116 117 100 217 133 216 101 100 100 100 133 50 133 317
Character a f o u n d a t i o n a l r r o l -r -r -o -l r
Milliseconds 83 101 99 84 83 66 167 51 84 82 84 16 100 150 100 84 166 50 66 167 350 0 0 0 383
Character o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 67 133 67 100 117 84 116 83 50 134 100 249 51 133 166 134 50 117 149 134 150 167 666 150
WPM Timing
Seconds WPM
2.39 25.1
4.78 60.23
7.17 66.92
9.56 75.29
11.95 72.28
14.35 81.14
16.74 77.44
19.13 77.8
21.52 80.86
23.91 85.32
26.3 86.24
28.69 83.65
31.08 84.55
33.47 86.04
35.86 87.33
38.25 87.52
40.64 87.69
43.04 86.72
45.43 87.97
47.82 89.09
50.21 87.24
52.6 86.24
54.99 86.63
57.38 87.42
59.77 86.33
62.16 86.29
64.55 87.37
66.94 87.12
69.34 86.71
71.73 88.5
74.12 89.86
76.51 88.62
78.9 87.15
81.29 85.03
83.68 85.47
86.07 85.32
88.46 83.83
90.85 83.74
93.24 83.91
95.63 83.32
98.03 84.22
100.42 84.01
102.81 84.74
105.2 85.55
107.59 86.22
109.98 86.85
112.37 87.03
114.76 87.73
117.15 87.17
119.54 86.73