BOB (fatmankim)

Race #3552

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Official speed 116.46 wpm (89.03 seconds elapsed during race)
Without ending ping 116.93 wpm (359 ms delay sending score to TypeRacer’s server)
Timerless 117.76 wpm (621 ms elapsed before first character typed; 88.05 seconds elapsed during race)
Timerless minus one 117.62 wpm, ignoring the first character typed
Race Start March 15, 2024 12:20:19pm UTC
Race Finish March 15, 2024 12:21:48pm UTC
Outcome No win (3 of 3)
Opponents 2. _ehsaas_gupta (116.85 wpm)
Accuracy 97.3%
Points 314.44
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 Cauciuuulculus is a tool that helps us unsderstand 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 pourde ed into it? We see change coccurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section wo e introuducduce the indeas of avevrage and instanteouneaneous rates of change, and show that they are closely releatedrelated to the slope fo of a curve at a point P on the curve. We give precise developments of thees these improtaimportant concepstts in the next chapter, but for now we usea n use an informal approach so you will see how they lead nautturally to mtthe main idea of this chapter, the limit. The idea of a limit plays a foundational role througouhhought calculus.
Timing
Character C a u c i u -u -i -c -u u -u u -u l c u l u s i s a
Milliseconds 621 140 109 171 62 62 248 140 234 434 157 634 589 388 1303 762 340 232 63 108 47 93 77 62 78
Character t o o l t h a t h e l p s u s u n s -s d
Milliseconds 77 62 48 123 107 47 47 78 47 63 30 78 31 109 61 47 62 62 124 62 126 61 93 250 109
Character e r s t a n d h o w a c h a n g e i n o
Milliseconds 46 94 60 48 61 63 92 62 47 47 63 60 156 62 109 30 94 46 93 45 79 92 63 31 107
Character n e q u a n t i t y i s r e l a t e d t o
Milliseconds 125 16 123 93 63 106 93 93 62 77 123 110 124 109 62 217 62 77 141 45 16 139 79 108 78
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 62 108 63 108 46 93 46 139 33 92 124 126 139 155 47 0 124 47 61 62 125 30 140 125 62
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 62 79 30 137 64 14 125 47 31 16 76 140 47 124 94 31 93 77 62 108 46 109 63 93 108
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 140 30 78 30 78 92 94 123 62 124 46 93 62 48 93 62 61 46 77 93 32 138 32 46 109
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 124 124 125 30 126 60 47 124 31 93 77 62 62 62 233 78 124 140 61 62 78 46 109 78 93
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 47 62 15 62 94 77 109 77 124 279 93 78 46 109 62 64 30 108 62 94 62 30 46 94 77
Character a r r e l c h a n g e a s a f u n c t i o
Milliseconds 93 109 109 109 93 170 155 77 47 109 15 125 46 61 93 62 93 61 47 109 47 78 139 48 125
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 61 15 140 0 93 62 78 17 45 47 109 61 78 16 62 77 62 47 92 78 78 31 140 93 140
Character p o u r d e - -e -d e d i n t o i t ? W e
Milliseconds 47 170 62 62 32 123 16 141 310 138 124 172 77 31 77 78 46 77 46 109 61 248 108 108 141
Character s e e c h a n g e c -c o c c u r r i n g i
Milliseconds 61 63 61 110 77 31 93 78 62 78 62 63 124 263 155 62 513 107 108 155 77 46 63 77 77
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 46 63 109 45 48 76 62 62 16 124 32 62 108 93 109 77 62 94 47 62 62 62 62 109 62
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 155 92 62 111 77 45 93 46 32 61 63 30 31 48 93 32 92 92 48 93 62 93 15 62 62
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 78 15 140 63 46 47 171 109 46 78 76 62 78 62 61 94 62 109 47 46 77 140 62 46 93
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 78 78 45 94 63 61 78 63 61 92 125 31 47 30 78 61 62 125 30 94 63 108 46 139 47
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 123 78 123 32 76 62 47 63 62 77 62 155 31 140 46 201 0 326 187 62 94 60 47 109 108
Character s e c t i o n w o - -o e i n t r o u d u c -c
Milliseconds 93 47 93 124 78 139 61 32 62 187 296 184 312 170 47 109 47 62 31 62 94 31 77 93 248
Character -u -d -u d u c e t h e i n -n d e a s o f a v
Milliseconds 139 125 124 95 76 78 62 47 92 15 31 62 93 78 295 93 78 77 94 63 92 77 47 155 125
Character e v -v r a g e a n d i n s t a n t e o u -u -o -e
Milliseconds 76 0 403 154 140 46 32 61 61 78 78 63 61 47 46 31 93 92 77 79 140 77 248 109 140
Character n e -e -n a n e o u s r a t e s o f c h a n g
Milliseconds 186 31 434 124 78 93 62 139 78 107 62 78 139 16 61 79 92 203 92 94 63 92 46 109 61
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 62 140 95 62 91 93 78 62 62 62 46 77 62 77 48 77 15 94 31 15 139 78 62 61 32
Character c l o s e l y r e l e a t e d -d -e -r -e -l -e -a -t
Milliseconds 62 78 45 62 47 77 141 62 47 46 77 63 108 0 62 47 124 172 140 155 0 0 0 0 0
Character r e l a t e d t o t h e s l o p e f o -f
Milliseconds 203 30 78 124 61 47 109 77 78 62 46 31 109 15 47 46 93 79 16 144 58 123 16 185 201
Character -o - o f a c u r v e a t a p o i n t P
Milliseconds 0 0 155 46 94 46 108 47 77 46 140 61 47 76 79 77 93 94 61 77 125 46 48 92 123
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 125 108 93 31 109 45 17 47 76 79 61 124 94 200 31 155 109 47 77 31 93 48 45 433 46
Character e c i s e d e v e l o p m e n t s o f t h e
Milliseconds 62 95 107 93 62 62 108 62 78 62 62 93 47 138 125 31 61 31 63 45 77 47 62 62 124
Character e s -t -h -e -e -s - t h e s e i m p r o t a -i -m -p
Milliseconds 93 16 108 295 0 0 0 0 0 124 47 125 93 30 78 108 46 62 62 47 109 78 218 0 0
Character -r -o -t -a i m p o r t a n t c o n c e p s t -t -s t
Milliseconds 0 0 0 0 188 45 93 78 77 108 78 62 94 76 109 46 46 63 94 108 108 16 418 138 108
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 31 125 77 79 46 31 92 15 47 93 46 31 79 15 124 47 61 93 123 62 47 109 109 62 77
Character t f o r n o w w e u s e a n -n - -u -s -e
Milliseconds 47 47 92 93 46 62 62 46 32 77 79 46 77 93 140 16 123 31 201 62 233 0 139 0 0
Character -a - u s e a n i n f o r m a l a p p r o a c
Milliseconds 0 0 312 93 46 78 47 92 78 93 47 61 94 62 92 78 93 78 78 92 125 94 46 109 98
Character h s o y o u w i l l s e e h o w t h e
Milliseconds 43 61 187 78 94 108 46 62 110 93 47 123 124 46 78 47 139 140 109 78 16 77 47 94 45
Character y l e a d n a u t -t -u t u r a l l y t o m
Milliseconds 172 61 78 124 48 15 78 216 108 125 0 340 109 108 108 62 123 47 93 124 249 93 46 62 139
Character t -m -t t h e m a i n i d e a o f t h i s
Milliseconds 94 325 0 124 48 45 17 154 63 62 78 30 93 31 125 15 141 92 94 79 62 60 79 62 153
Character c h a p t e r , t h e l i m i t . T h e i
Milliseconds 50 90 63 77 140 47 61 77 78 62 62 31 31 217 78 109 107 63 107 62 110 61 48 31 155
Character d e a o f a l i m i t p l a y s a f o
Milliseconds 78 77 62 78 62 78 62 78 76 141 63 108 93 78 62 93 62 62 62 109 78 93 62 92 32
Character u n d a t i o n a l r o l e t h r o u g o u h
Milliseconds 93 62 15 140 61 79 94 77 140 64 60 76 47 46 139 47 62 46 79 77 47 109 94 92 109
Character -h -u -o h o u g h -h -g t c a l c u l u s .
Milliseconds 278 140 125 154 47 93 109 156 247 123 63 77 93 78 93 126 62 124 123 108 93
WPM Timing
Seconds WPM
1.78 13.48
3.56 6.74
5.34 6.74
7.12 20.22
8.9 47.18
10.68 64.03
12.46 73.17
14.24 81.72
16.02 90.61
17.81 95.7
19.59 101.09
21.37 103.9
23.15 106.8
24.93 109.28
26.71 113.67
28.49 112.05
30.27 112.59
32.05 110.83
33.83 113.51
35.61 116.26
37.39 118.75
39.17 121.01
40.95 122.19
42.73 121.87
44.51 119.69
46.29 117.68
48.07 116.82
49.85 115.78
51.64 114.81
53.42 116.15
55.2 116.53
56.98 116.68
58.76 116.41
60.54 117.35
62.32 117.46
64.1 117.38
65.88 115.85
67.66 115.28
69.44 116.82
71.22 115.92
73 116.22
74.78 116.82
76.56 116.77
78.34 115.8
80.12 116.37
81.9 116.92
83.68 117.73
85.47 118.5
87.25 117.32
89.03 116.46