DooDooGoggins (goofyahhtyping)

Race #3834

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Official speed 122.80 wpm (84.43 seconds elapsed during race)
Without ending ping 123.06 wpm (181 ms delay sending score to TypeRacer’s server)
Timerless 123.27 wpm (138 ms elapsed before first character typed; 84.11 seconds elapsed during race)
Timerless minus one 123.12 wpm, ignoring the first character typed
Race Start February 27, 2024 9:06:05am UTC
Race Finish February 27, 2024 9:07:30am UTC
Outcome No win (2 of 4)
Accuracy 97.4%
Points 331.56
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 Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the peespeed of a falling object change as a function of time? How does the evlelevel of water in a barrael change as a function of the amount of liquid poured into it? We see change occurring in early=nearly everything we observe in the world and univrese,erse, and powerful modern instruments help us see more and more. In this section aswe introduce the ideas of avaregerage and instantianenous 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 development of s of theese se important concepts in the next chapter, but for now e uwe use an informal approahc sch so you will see how they lead naturall to y to the main idea of this chapter, thelimi limiutt. The idea of a limit palys lays a founadational role throughout calcualulus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 138 111 39 337 85 116 306 89 74 84 62 77 63 84 44 68 102 102 48 55 67 23 53 57 48
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 62 100 66 93 94 67 81 83 58 102 26 101 45 76 81 34 17 101 80 38 56 35 79 71 90
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 49 54 100 30 51 76 42 77 48 58 79 53 46 75 66 43 96 66 110 36 97 73 95 80 51
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 70 91 52 72 91 79 58 122 63 74 56 64 82 89 63 62 80 44 51 43 70 43 43 59 96
Character n o t h e r . H o w d o e s t h e p e e -e
Milliseconds 61 66 79 25 67 30 37 108 57 82 40 97 49 83 48 43 86 92 47 74 75 58 96 102 154
Character -e -p s p e e d o f a f a l l i n g o b j e
Milliseconds 110 118 139 93 53 90 118 83 62 50 81 53 83 40 86 52 96 26 68 62 76 80 134 155 58
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 118 136 91 72 7 93 13 64 43 89 36 102 37 348 102 70 108 116 7 136 59 20 58 64 76
Character f t i m e ? H o w d o e s t h e e v l e
Milliseconds 54 85 59 45 43 56 158 63 340 93 63 78 73 75 58 27 89 272 65 61 75 90 109 32 5
Character -e -l -v -e l e v e l o f w a t e r i n a b
Milliseconds 266 116 130 122 347 75 75 76 57 76 76 37 70 38 63 61 85 32 68 29 52 91 92 56 169
Character a r r a -a e l c h a n g e a s a f u n c t
Milliseconds 94 108 94 150 351 573 73 86 156 131 51 100 14 83 79 29 110 47 120 101 143 142 127 41 135
Character i o n o f t h e a m o u n t o f l i q u
Milliseconds 118 9 76 88 88 47 78 53 70 59 52 60 72 54 85 110 31 71 71 60 68 37 71 50 112
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 58 76 65 150 61 87 87 54 111 59 102 60 42 84 56 133 115 104 85 104 66 85 58 76 74
Character c h a n g e o c c u r r i n g i n e a r l
Milliseconds 95 229 110 59 57 64 70 79 174 99 94 132 77 120 137 55 43 67 87 30 53 66 54 54 56
Character y -y = -= -l -r -a -e n e a r l y e v e r y t h i n g
Milliseconds 87 189 4 131 112 131 130 114 143 38 31 58 53 87 54 57 107 65 84 139 41 96 65 77 30
Character w e o b s e r v e i n t h e w o r l d
Milliseconds 116 82 34 103 176 38 146 86 62 164 68 87 51 31 77 56 53 37 94 12 83 63 50 63 61
Character a n d u n i v r e s e , -, -e -s -e -r e r s e , a
Milliseconds 61 26 85 61 54 124 0 61 141 62 43 84 79 220 120 141 128 108 56 80 367 74 133 98 55
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 101 18 71 50 53 60 45 81 112 35 93 86 46 66 60 111 31 78 97 42 56 19 78 103 69
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 134 38 100 33 80 75 36 116 67 63 79 71 106 60 73 67 128 55 57 44 55 25 101 27 65
Character d m o r e . I n t h i s s e c t i o n a
Milliseconds 65 51 30 57 58 32 73 60 153 62 115 51 81 40 47 65 147 67 124 140 35 12 59 73 44
Character s -s -a w e i n t r o d u c e t h e i d e a s
Milliseconds 111 223 117 78 38 55 58 65 56 111 88 83 56 95 77 89 78 48 79 119 98 19 300 54 111
Character o f a v a r e g -g -e -r -a e r a g e a n d i
Milliseconds 96 48 85 71 88 81 121 53 123 0 201 119 130 123 26 64 72 75 57 104 81 137 77 43 94
Character n s t a n t i -i a n e n -n o u s r a t e s o f
Milliseconds 51 233 121 140 110 99 148 315 554 99 296 106 273 211 77 92 80 120 85 89 61 60 66 54 75
Character c h a n g e , a n d s h o w t h a t t h
Milliseconds 72 84 69 107 43 74 113 42 174 55 112 40 98 75 54 47 65 58 124 65 59 47 86 51 60
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 55 65 46 73 28 36 97 34 59 122 47 57 99 65 42 71 62 74 84 80 65 113 57 116 68
Character t h e s l o p e o f a c u r v e a t
Milliseconds 76 48 57 56 83 65 91 124 64 47 46 81 53 57 82 99 69 64 90 123 60 89 50 60 82
Character a p o i n t P o n t h e c u r v e . W
Milliseconds 117 99 105 63 13 48 65 30 152 156 163 55 85 71 95 3 92 69 76 53 156 64 63 129 156
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 51 98 73 86 62 23 80 143 79 76 107 138 201 96 114 80 118 84 77 19 119 21 166 105 101
Character t o f - -f -o - s o f t h e e s e - -e -s -e
Milliseconds 63 113 34 78 77 183 114 121 116 72 76 50 95 57 89 100 98 483 70 59 111 449 134 129 147
Character s e i m p o r t a n t c o n c e p t s i n
Milliseconds 154 61 42 24 82 23 80 26 126 67 63 63 121 635 50 45 69 120 93 74 94 72 40 68 60
Character t h e n e x t c h a p t e r , b u t f o r
Milliseconds 95 89 85 118 67 81 136 126 79 110 63 84 37 103 81 54 79 61 75 46 109 61 73 59 75
Character n o w e u -u - -e w e u s e a n i n f o
Milliseconds 57 42 61 47 62 110 96 93 189 132 130 74 38 61 72 63 94 132 112 128 50 113 53 70 122
Character r m a l a p p r o a h c s -s - -c -h c h s o
Milliseconds 91 276 98 58 84 93 94 120 132 73 96 84 15 158 74 129 120 129 136 81 96 101 47 81 75
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 70 82 61 42 63 88 124 86 56 25 97 98 64 63 48 18 55 60 24 94 28 73 86 61 28
Character d n a t u r a l l t o - -o -t - y t o t h
Milliseconds 95 39 151 72 76 105 34 119 47 101 82 75 94 65 156 115 131 126 138 91 98 63 97 93 76
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 57 67 77 73 57 51 57 66 69 99 42 51 89 58 59 74 28 56 51 63 58 68 122 89 85
Character e r , t h e l i m i -i -m -i -l l i m i u t -t -u t
Milliseconds 107 31 61 65 73 62 97 88 41 76 72 208 127 135 118 74 114 57 44 99 8 73 289 101 93
Character . T h e i d e a o f a l i m i t p a l
Milliseconds 87 94 122 71 57 66 53 64 108 20 60 72 76 49 109 50 77 49 91 54 82 83 68 127 8
Character y s - -s -y -l -a l a y s a f o u n a -a d a t i
Milliseconds 86 58 76 136 113 128 128 136 161 38 99 53 66 67 86 32 57 32 111 93 443 136 71 108 101
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 32 53 83 129 106 150 83 106 55 47 76 65 80 4 58 85 32 83 62 44 99 93 85 155 146
Character u a l u -u -l -a l u s .
Milliseconds 100 112 4 171 173 113 129 186 33 53 67
WPM Timing
Seconds WPM
1.69 99.49
3.38 135.02
5.07 156.34
6.75 156.34
8.44 164.87
10.13 152.79
11.82 153.3
13.51 151.9
15.2 149.24
16.89 139.29
18.57 138.25
20.26 134.43
21.95 135.57
23.64 137.05
25.33 136.92
27.02 135.47
28.71 132.51
30.39 133.44
32.08 132.78
33.77 131.11
35.46 132.65
37.15 135.02
38.84 134.71
40.53 134.73
42.22 132.18
43.9 131.47
45.59 127.39
47.28 127.92
48.97 129.63
50.66 130.76
52.35 131.58
54.04 131.91
55.72 131.79
57.41 130.01
59.1 127.92
60.79 126.93
62.48 126.76
64.17 127.54
65.86 126.46
67.54 126.14
69.23 125.14
70.92 126.39
72.61 124.94
74.3 126.3
75.99 125.23
77.68 124.98
79.36 123.83
81.05 123.33
82.74 124.15
84.43 122.8