Arrogant (dkaocka)

Race #26664

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Official speed 144.65 wpm (71.68 seconds elapsed during race)
Without ending ping 146.19 wpm (754 ms delay sending score to TypeRacer’s server)
Timerless 146.56 wpm (182 ms elapsed before first character typed; 70.74 seconds elapsed during race)
Timerless minus one 146.40 wpm, ignoring the first character typed
Race Start December 29, 2023 10:42:59am UTC
Race Finish December 29, 2023 10:44:10am UTC
Outcome Win (1 of 4)
Accuracy 96.7%
Points 390.56
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 Calcululss is a tool that helps us unsderderstand how a change in one quantity is related to aa change in another. How does the speed of a falling object change as af fiaunctifunction of time? How does hte elthe level of water in a barrel change as a function of the maoutn amount of liquid poured into it/ W? We see change coccurring in nearly everyhthing 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 wththat they are colsoely rclosely related to the slope of a curve at a point P on the curve. We give precise developments of these important cocencepts in the next chapter, ut fobut ofr for now ewe use an inofformal approach so you will see how they lead naturally to the mian ain idae of idae ioidea of this chapter. , the limit. The idea of a limit plays a foundational role throguughout calculus.
Timing
Character C a l c u l u l s -s -l s i s a t o o l t h
Milliseconds 182 79 57 83 79 53 155 78 50 289 244 96 39 66 53 60 105 77 40 49 88 101 49 40 58
Character a t h e l p s u s u n s d e r -r -e -d -s d e r
Milliseconds 40 58 0 59 66 34 105 80 9 74 85 52 140 46 72 81 89 95 176 90 95 118 75 67 67
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 81 61 50 22 69 50 45 36 26 59 76 61 38 70 80 0 91 38 33 13 31 98 45 57 63
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 54 80 109 68 91 163 79 79 72 63 82 36 59 39 66 43 78 40 42 77 20 123 0 152 79
Character a -a c h a n g e i n a n o t h e r . H o w
Milliseconds 90 319 74 49 58 47 44 65 38 22 23 44 73 45 40 30 67 29 85 29 64 76 47 119 46
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 63 43 77 77 0 43 75 37 59 34 74 28 104 120 37 66 74 55 36 58 92 58 45 39 90
Character i n g o b j e c t c h a n g e a s a f -
Milliseconds 39 28 50 25 73 63 81 28 56 77 57 69 66 50 48 52 46 54 76 55 45 101 134 40 279
Character -f f i a u n c t i -i -f -i -a -u -n -c -t f u n c t i o
Milliseconds 82 50 38 81 18 0 21 50 43 53 151 101 0 0 0 0 0 0 163 73 39 60 47 50 39
Character n o f t i m e ? H o w d o e s h t e e
Milliseconds 47 75 58 64 54 73 23 22 42 142 118 52 146 17 51 35 62 75 10 57 82 0 58 64 72
Character l -l -e - -e -t -h t h e l e v e l o f w a t e r
Milliseconds 47 210 71 121 118 113 113 87 54 47 50 98 79 73 68 16 83 81 72 44 60 20 67 44 84
Character i n a b a r r e l c h a n g e a s a
Milliseconds 14 29 36 82 35 88 261 152 36 131 50 69 52 48 70 69 24 54 50 52 70 44 85 59 68
Character f u n c t i o n o f t h e m a o u t n -m -a
Milliseconds 21 139 46 50 50 44 39 23 69 65 63 37 91 0 56 62 32 22 83 22 101 0 25 179 0
Character -o -u -t -n - a m o u n t o f l i q u i d p o u
Milliseconds 0 0 0 0 0 145 73 48 45 40 38 16 59 74 45 50 129 95 56 37 66 249 129 207 73
Character r e d i n t o i t / W -W - -/ ? W e s e e
Milliseconds 93 79 67 52 44 29 97 101 135 103 53 101 104 79 248 86 89 176 153 47 152 52 43 136 112
Character c h a n g e c -c o c c u r r i n g i n n e
Milliseconds 219 48 78 63 49 55 51 29 66 198 385 111 152 313 73 262 89 24 45 54 39 32 69 79 66
Character a r l y e v e r y h -h t h i n g w e o b s e
Milliseconds 29 31 54 25 57 49 67 119 0 80 144 418 60 59 43 48 35 58 35 57 60 72 176 104 88
Character r v e i n t h e w o r l d a n d u n i v
Milliseconds 79 137 40 93 107 20 58 51 44 51 68 40 43 12 84 48 45 41 58 64 47 43 42 76 49
Character e r s e , a n d p o w e r f u l m o d e r n
Milliseconds 51 108 42 35 74 44 69 36 75 40 73 24 16 28 55 127 0 46 63 65 47 48 64 42 47
Character i n s t r u m e n t s h e l p u s s e e
Milliseconds 47 74 79 321 64 37 97 14 77 82 41 51 36 85 53 66 87 75 61 10 86 62 76 118 47
Character m o r e a n d m o r e . I n t h i s s e
Milliseconds 31 32 45 45 72 44 41 56 40 48 47 93 43 54 68 493 117 71 39 45 20 48 52 45 98
Character c t i o n w e i n t r o d u c e t h e i d
Milliseconds 63 73 0 34 17 84 52 68 39 73 14 46 61 98 78 148 131 72 55 62 46 83 42 66 58
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 0 41 82 50 65 50 61 40 80 72 89 69 64 50 35 51 73 45 31 49 24 56 59 73 54
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 123 71 175 87 80 38 45 51 60 88 79 45 33 50 43 70 159 40 88 74 44 43 54 51 75
Character a n d s h o w w t h -h -t -w t h a t t h e y
Milliseconds 48 44 40 59 96 59 26 96 51 49 55 50 178 97 95 71 59 51 35 63 63 59 29 90 22
Character a r e c o -o l s o e l y r -c -l -s -o -e -l -y - -r c
Milliseconds 63 12 51 58 74 72 246 177 89 15 53 78 23 79 36 181 0 0 0 0 0 0 0 0 160
Character l o s e l y r e l a t e d t o t h e s l o
Milliseconds 87 104 28 45 40 44 76 51 76 345 51 65 49 82 12 93 64 52 61 43 27 73 35 25 138
Character p e o f a c u r v e a t a p o i n t
Milliseconds 55 85 30 95 53 40 77 71 51 68 53 115 37 50 89 45 48 83 86 82 20 151 34 76 50
Character P o n t h e c u r v e . W e g i v e p
Milliseconds 122 121 139 35 49 55 43 58 51 53 76 116 136 40 48 71 90 111 54 99 27 91 35 33 57
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 53 63 71 74 69 45 30 49 70 87 51 33 124 88 103 24 106 38 56 21 94 54 41 87 31
Character e s e i m p o r t a n t c o c e -e -c n c e p t
Milliseconds 27 71 62 49 38 31 45 34 67 115 68 52 60 39 108 106 141 45 187 78 115 70 30 39 93
Character s i n t h e n e x t c h a p t e r , u t
Milliseconds 28 99 308 16 61 52 56 30 69 80 16 105 52 124 52 55 62 78 21 65 64 42 46 121 88
Character f o -u -t - -f -o b u t o f r -o -f -r - f o r n
Milliseconds 64 90 80 152 0 0 0 0 176 63 73 37 67 17 123 66 240 0 0 0 160 90 47 51 47
Character o w e -e w e u s e a n i n o f -f -o f o r m
Milliseconds 26 45 87 0 431 274 80 0 126 66 20 69 78 88 58 63 44 24 100 207 96 81 119 81 52
Character a l a p p r o a c h s o y o u w i l l s
Milliseconds 74 58 46 37 93 119 24 121 44 39 59 85 21 63 97 37 58 24 104 40 71 0 105 19 41
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 101 55 425 86 24 71 46 68 53 75 32 78 31 58 57 73 14 62 56 67 52 77 25 43 97
Character y t o t h e m i a n - -n -a -i a i n i d a
Milliseconds 25 52 61 30 80 39 32 74 49 56 58 13 41 207 161 97 104 111 62 66 20 21 80 54 78
Character e o f -i -d -a -e - -o -f - i d a e i -i o -o -i -d -a
Milliseconds 0 0 164 72 29 217 0 0 0 0 0 0 0 242 35 83 0 18 100 189 120 175 111 0 0
Character -e - i d e a o f t h i s c h a p t e r . -
Milliseconds 0 0 252 33 48 67 0 81 71 62 48 24 31 40 40 68 61 90 26 59 70 51 47 71 173
Character -. , t h e l i m i t . T h e i d e a o f
Milliseconds 79 137 56 57 95 104 56 16 49 29 91 49 91 54 76 82 42 33 64 68 35 39 35 53 54
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 48 51 76 36 63 14 79 37 47 57 33 58 80 119 73 61 75 92 99 23 47 65 40 31 86
Character o n a l r o l e t h r o g u -u -g u g h o u t
Milliseconds 34 70 278 96 75 36 73 88 35 49 47 49 82 82 79 16 393 89 119 72 36 89 55 86 20
Character c a l c u l u s .
Milliseconds 147 68 21 167 94 57 176 95 59
WPM Timing
Seconds WPM
1.43 58.6
2.87 129.75
4.3 111.61
5.73 138.12
7.17 145.65
8.6 149.28
10.03 156.66
11.47 163.23
12.9 148.82
14.34 153.19
15.77 144.59
17.2 147.19
18.64 150.03
20.07 150.68
21.5 149
22.94 144.4
24.37 143.78
25.8 138.12
27.24 139.66
28.67 139.38
30.1 143.1
31.54 145.73
32.97 147.04
34.4 147.19
35.84 149.34
37.27 151.64
38.71 152.85
40.14 153.67
41.57 152.41
43.01 149.84
44.44 150.14
45.87 151.2
47.31 151.18
48.74 152.15
50.17 154.03
51.61 152.3
53.04 152.26
54.47 150.02
55.91 148.96
57.34 148.17
58.77 148.64
60.21 150.08
61.64 148.92
63.08 145.54
64.51 145.65
65.94 145.4
67.38 146.94
68.81 147.36
70.24 146.24
71.68 144.65