Avery (superflytypeguy)

Race #230

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Official speed 96.24 wpm (107.73 seconds elapsed during race)
Without ending ping 96.35 wpm (124 ms delay sending score to TypeRacer’s server)
Timerless 96.74 wpm (430 ms elapsed before first character typed; 107.18 seconds elapsed during race)
Timerless minus one 96.63 wpm, ignoring the first character typed
Race Start June 17, 2024 2:03:46am UTC
Race Finish June 17, 2024 2:05:34am UTC
Outcome Win (1 of 5)
Opponents 2. jgb000 (92.07 wpm)
3. sourish1997 (90.63 wpm)
Accuracy 97.6%
Points 259.85
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 qunauantity is realtelated 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 changes as a function of the amount of liquied oppoured into it? wWe see change occurring in nearly everything we wobserve in the world and univesrse, and powerful modern instruments help us see more and more. In this secionttion we introduece the idedas of average and instantaneous rates of change, and hwshow that they are closely related to the slope of a curve at a point P on the curve. WE gie give precise developtmemetnnts of these important concepts in the enxtbnenext chapter, but for now we use an informal approach so you will see how they lead unnaturally to the main idea of this hchapter, the limit. The 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 430 129 146 254 129 197 160 104 89 103 89 88 128 83 111 63 142 157 70 102 87 41 47 90 141
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 90 81 161 63 109 84 85 168 108 110 38 171 37 131 104 125 91 82 84 89 63 63 89 86 83
Character c h a n g e i n o n e q u n -n -u a -a u a n t
Milliseconds 127 66 237 106 150 177 103 161 87 65 104 88 111 104 127 68 174 298 118 64 367 216 67 167 139
Character i t y i s r e a l t e -e -t -l -a l a t e d t o
Milliseconds 107 122 238 160 163 86 89 104 63 65 46 181 107 276 156 135 140 263 78 88 128 162 99 84 65
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 88 48 142 122 111 104 377 62 103 131 119 62 65 103 89 83 111 63 83 22 152 103 192 88 63
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 104 112 41 123 70 62 84 110 37 105 129 87 163 160 142 68 103 110 105 41 108 282 83 112 99
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 97 66 70 63 162 142 179 127 159 184 64 145 62 144 90 89 63 120 90 84 90 103 89 86 123
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 63 88 239 65 22 44 204 104 89 63 128 65 83 49 203 129 208 87 121 143 110 68 137 73 59
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 121 65 88 87 141 43 181 69 103 63 124 86 63 168 107 84 146 63 66 109 66 80 23 145 168
Character a r r e l c h a n g e s - -s a s a f u n
Milliseconds 105 270 162 85 161 162 182 63 83 91 42 64 162 161 231 143 140 70 62 105 86 88 104 64 115
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 37 200 28 63 38 152 87 123 86 127 64 88 89 104 127 145 88 64 63 104 89 127 40 88 65
Character q u i e -e d o p -p -o p o u r e d i n t o i t
Milliseconds 90 350 199 106 297 104 103 119 0 391 122 175 296 296 103 161 146 61 104 41 87 84 109 137 70
Character ? w -w W e s e e c h a n g e o c c u r r i
Milliseconds 242 143 143 347 240 71 175 105 47 144 105 104 86 68 124 18 87 105 145 85 144 104 105 160 146
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 62 90 78 88 63 115 120 38 111 41 128 178 69 82 160 103 64 89 104 86 65 113 63 144 103
Character e w -w o b s e r v e i n t h e w o r l d
Milliseconds 88 107 113 230 199 82 110 88 104 186 101 104 67 63 111 20 125 50 82 107 88 104 64 161 47
Character a n d u n i v e s -s r s e , a n d p o w e r
Milliseconds 160 89 487 143 139 71 143 87 136 113 488 138 206 85 179 145 63 107 49 83 65 144 63 65 39
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 186 63 159 105 128 105 38 184 44 105 84 104 90 45 105 160 86 196 85 88 65 87 104 104 121
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 51 199 118 144 89 87 163 125 143 83 114 84 104 146 119 127 88 104 0 162 63 86 88 90 120
Character I n t h i s s e c i o n t -t -n -o -i t i o n w
Milliseconds 193 127 88 106 63 119 87 89 160 142 164 109 64 65 0 297 125 139 142 84 110 0 102 322 143
Character e i n t r o d u e -e c e t h e i d e d -d a s
Milliseconds 87 104 128 40 66 141 68 140 114 87 328 64 65 105 85 65 41 88 131 35 146 22 426 272 159
Character o f a v e r a g e a n d i n s t a n t a n
Milliseconds 128 138 63 126 128 65 99 70 138 110 81 86 369 162 143 104 159 87 42 88 103 105 146 260 160
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 200 80 184 81 87 169 39 128 104 161 160 160 65 86 146 86 88 125 43 66 119 65 129 60 67
Character h w -w -h s h o w t h a t t h e y a r e c
Milliseconds 65 181 122 256 119 89 80 65 68 120 49 119 42 25 85 83 87 40 112 64 87 40 70 84 143
Character l o s e l y r e l a t e d t o t h e s l o
Milliseconds 65 143 66 48 117 161 86 122 66 126 104 72 119 162 87 126 41 67 85 88 88 82 111 63 160
Character p e o f a c u r v e a t a p o i n t
Milliseconds 160 103 69 118 86 103 65 89 113 80 142 200 88 104 115 37 88 90 86 80 146 63 66 70 124
Character P o n t h e c u r v e . W E g i -i -g - -E
Milliseconds 189 142 103 66 90 125 63 145 88 129 82 109 193 88 239 121 168 63 145 86 91 214 144 136 120
Character e g i v e p r e c i s e d e v e l o p t m e
Milliseconds 88 128 124 45 160 63 89 103 103 91 311 90 116 93 139 90 143 121 105 123 156 145 86 121 105
Character -e -m -t m e t n -n -t n t s o f t h e s e i m p
Milliseconds 201 119 128 153 45 121 22 444 121 158 47 107 115 164 65 86 90 60 25 108 507 122 166 64 144
Character o r t a n t c o n c e p t s i n t h e e n
Milliseconds 138 64 144 87 105 102 88 161 41 64 86 127 106 110 106 82 63 69 83 63 90 44 123 128 0
Character x t -t -x -n -e b n e -e -n -b n e x t c h a p t e r ,
Milliseconds 159 126 276 126 231 242 192 0 48 294 122 119 159 41 167 160 104 199 89 104 84 83 105 64 121
Character b u t f o r n o w w e u s e a n i n
Milliseconds 145 368 80 23 160 90 87 101 66 143 49 68 101 101 117 60 160 24 42 166 105 87 160 122 64
Character f o r m a l a p p r o a c h s o y o u w i
Milliseconds 62 89 88 88 86 83 106 124 69 119 124 81 128 164 125 111 80 86 91 121 69 83 70 103 88
Character l l s e e h o w t h e y l e a d u n -n -u
Milliseconds 160 120 106 89 62 162 89 124 40 64 105 87 65 67 86 64 141 49 84 357 142 178 66 254 104
Character n a t u r a l l y t o t h e m a i n i d e
Milliseconds 155 45 64 104 143 106 87 143 97 87 105 50 101 258 70 106 63 143 105 65 48 105 141 88 161
Character a o f t h i s h -h c h a p t e r , t h e
Milliseconds 64 88 126 92 100 84 86 48 64 87 177 233 66 109 82 65 109 103 65 144 66 160 61 90 62
Character l i m i t . T h e i d e a o f a l i m i
Milliseconds 124 85 105 105 113 212 122 210 141 66 89 85 82 182 22 354 105 87 80 105 87 126 161 90 141
Character t p l a y s a f o u n d a t i o n a l r o
Milliseconds 89 89 104 138 85 128 87 85 110 87 81 89 86 40 90 142 86 94 36 86 660 88 167 271 41
Character l e t h r o u g h o u t c a l c u l u s .
Milliseconds 167 64 18 335 104 103 27 60 146 110 119 66 47 144 144 64 88 105 143 163 210 74 162
WPM Timing
Seconds WPM
2.15 77.97
4.31 100.25
6.46 103.96
8.62 90.5
10.77 86.88
12.93 85.4
15.08 89.11
17.24 91.9
19.39 93.44
21.55 96.91
23.7 97.72
25.86 98.86
28.01 97.25
30.16 99.45
32.32 97.28
34.47 96.07
36.63 95.01
38.78 95.92
40.94 96.15
43.09 97.19
45.25 95.21
47.4 96.45
49.56 97.1
51.71 97.7
53.87 96.24
56.02 95.97
58.17 95.71
60.33 95.68
62.48 95.45
64.64 95.61
66.79 97.02
68.95 97.81
71.1 98.39
73.26 97.63
75.41 97.07
77.57 95.92
79.72 95.28
81.88 95.85
84.03 94.11
86.18 93.71
88.34 94.41
90.49 95.08
92.65 95.98
94.8 95.31
96.96 95.79
99.11 96.01
101.27 95.98
103.42 96.54
105.58 96.04
107.73 96.24