Stupid (stupididiot9)

Race #23230

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Official speed 122.74 wpm (84.47 seconds elapsed during race)
Without ending ping 123.29 wpm (374 ms delay sending score to TypeRacer’s server)
Timerless 123.78 wpm (335 ms elapsed before first character typed; 83.76 seconds elapsed during race)
Timerless minus one 123.64 wpm, ignoring the first character typed
Race Start November 16, 2024 3:48:15am UTC
Race Finish November 16, 2024 3:49:39am UTC
Outcome Win (1 of 5)
Opponents 2. mapra99 (104.51 wpm)
3. zoltanstudios (99.52 wpm)
4. vertlance (94.32 wpm)
5. neil_dudheker (78.91 wpm)
Accuracy 96.0%
Points 331.40
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 thath elp hepllps us understand how a change in one quanitttity is related to a change in another. How does the speded of a falling object change as a funtion ciontction of time? How does the level of water ina ba a barererel change as a fnciuunction of the amount of liqiuiduid poured into it? We see change occurring in nearly everything we observe in the world and universe, and powerufl mfu; l moderin instruments help us usee more and more. In this section we introduce the ideas of average and instanttaneous rates of change, asnand whshow that they are closely related to teh slthe slope of a curve at a point P on the curvee. We give precise devleolopments of these important conceps in tts in the next chapter, but for nwo we ow we wuse an informal aprppraochoach so you will see how they lead naturally to the main idddeaea of this chapter, the limit. The diea oidea of a limit plays a foundiatational 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 335 133 114 120 62 63 98 74 47 48 95 36 103 49 184 61 110 127 120 45 55 60 24 97 0
Character e l p -p -l -e - -h h e p l -l -p l p s u s u n d
Milliseconds 100 64 35 363 138 90 90 100 74 126 86 73 22 373 116 136 93 60 61 39 80 45 115 41 62
Character e r s t a n d h o w a c h a n g e i n o
Milliseconds 118 64 85 40 101 39 61 79 103 41 16 140 231 114 116 39 81 62 37 40 80 60 60 61 99
Character n e q u a n i t t -t -t -i t i t y i s r e l a
Milliseconds 64 42 60 73 124 77 81 79 21 130 239 91 82 117 60 61 39 41 83 0 76 100 23 101 40
Character t e d t o a c h a n g e i n a n o t h e
Milliseconds 36 60 80 0 120 21 59 61 122 58 79 53 47 45 26 70 59 50 70 44 65 51 60 30 30
Character r . H o w d o e s t h e s p e d -d e d o
Milliseconds 62 52 48 139 89 10 113 27 90 10 123 36 42 59 62 18 110 82 69 172 272 78 45 15 63
Character f a f a l l i n g o b j e c t c h a n g e
Milliseconds 78 35 60 76 154 62 19 122 63 46 31 47 63 61 48 31 156 94 81 92 64 31 62 35 58
Character a s a f u n t i o n - -n -o -i -t c i o n t -t
Milliseconds 32 15 172 62 236 29 266 171 80 124 77 0 94 77 125 94 217 77 109 78 159 0 58 16 248
Character -n -o -i -c c t i o n o f t i m e ? H o w d o
Milliseconds 125 66 92 94 483 108 30 17 63 63 47 32 78 79 32 29 31 234 63 296 186 17 95 65 140
Character e s t h e l e v e l o f w a t e r i n a
Milliseconds 0 123 170 32 45 17 47 94 17 137 15 125 79 127 65 59 79 62 47 62 31 19 90 47 63
Character b a -a -b - - -a a b a r e r e -e -r -e r e l
Milliseconds 16 143 75 46 203 482 94 110 94 146 105 111 106 33 60 172 16 95 216 93 110 107 18 93 48
Character c h a n g e a s a f n c -c i u -u -i -n u n c t
Milliseconds 35 87 66 45 31 16 77 18 138 141 29 107 111 140 46 218 217 0 186 126 94 232 94 15 96
Character i o n o f t h e a m o u n t o f l i q i
Milliseconds 60 16 47 114 27 31 94 93 32 15 49 139 93 77 80 107 51 75 62 63 31 96 49 75 63
Character u i d -d -i -u -i u i d p o u r e d i n t o i t
Milliseconds 46 94 0 233 93 221 94 252 17 78 64 63 46 47 33 60 61 48 45 33 62 47 48 78 65
Character ? W e s e e c h a n g e o c c u r r i n g
Milliseconds 232 45 140 108 35 232 47 155 15 141 62 78 16 31 64 61 80 32 160 244 32 126 108 47 63
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 63 34 60 64 79 62 47 48 14 78 30 50 91 61 95 47 95 47 49 44 79 33 126 65 29
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 93 47 189 61 63 140 31 76 78 31 79 188 47 32 45 62 16 30 95 31 78 48 48 31 77
Character u n i v e r s e , a n d p o w e r u f l m -m
Milliseconds 49 143 43 32 62 63 48 60 108 17 32 61 32 61 49 50 30 28 31 94 17 108 63 126 140
Character - -l -f -u f u ; - -; l m o d e r i -i n i n s t
Milliseconds 126 92 78 110 156 66 58 110 296 95 217 93 30 50 62 124 31 124 341 109 79 18 96 107 16
Character r u m e n t s h e l p u s u -u s e e m o r
Milliseconds 62 108 63 93 46 63 82 0 187 108 77 32 64 144 104 46 279 357 61 78 142 46 126 62 31
Character e a n d m o r e . I n t h i s s e c t i
Milliseconds 32 49 89 15 80 34 99 0 77 0 140 40 139 161 43 100 57 42 38 81 83 36 145 119 0
Character o n w e i n t r o d u c e t h e i d e a s
Milliseconds 36 15 48 68 31 78 40 65 19 37 89 80 94 86 140 40 61 22 28 49 40 71 99 63 117
Character o f a v e r a g e a n d i n s t a n t t -t
Milliseconds 110 50 40 70 63 106 84 67 93 50 27 60 51 29 32 79 51 49 56 73 101 50 44 185 280
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 19 131 70 40 42 119 80 139 95 75 59 31 83 37 63 51 136 62 159 0 78 51 63 20 34
Character s n -n -s -a a n d w h -h -w s h o w t h a t t h
Milliseconds 74 79 301 94 115 190 80 20 79 101 30 300 160 116 84 23 19 98 0 60 61 39 60 64 18
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 58 40 60 23 37 20 70 80 59 102 83 16 83 78 59 40 205 201 79 48 46 62 65 28 63
Character t e h s l -l -s - -h -e -t t h e s l o p e o f
Milliseconds 79 15 48 14 77 48 76 264 264 48 47 47 48 93 47 45 49 123 46 187 95 62 15 156 94
Character a c u r v e a t a p o i n t P o n
Milliseconds 47 47 107 109 111 17 138 47 92 15 78 81 31 139 32 47 29 94 35 0 310 74 187 93 32
Character t h e c u r v e -e e . W e g i v e p r e c
Milliseconds 66 32 41 48 94 77 31 173 34 294 339 109 17 184 140 93 64 47 63 62 33 108 30 17 141
Character i s e d e v l -l e o -o l o p m e n t s o f t
Milliseconds 62 64 30 62 78 125 62 111 266 91 249 297 141 124 47 126 76 78 30 79 46 48 30 63 46
Character h e s e i m p o r t a n t c o n c e p s i n
Milliseconds 47 31 52 58 63 49 78 34 29 31 109 93 0 61 78 82 60 47 48 123 48 78 96 47 46
Character t -t - -n -i - -s t s i n t h e n e x t c h
Milliseconds 61 20 183 95 141 90 78 97 109 60 62 30 64 61 16 48 46 46 93 64 140 91 63 91 65
Character a p t e r , b u t f o r n w o w e - -w -o
Milliseconds 77 33 60 64 61 32 51 89 47 31 94 31 63 61 50 60 46 17 95 81 59 63 111 823 0
Character - -w -e o w w e w -w u s e a n i n f o r m a
Milliseconds 0 0 0 31 47 61 94 18 76 110 235 139 47 15 47 78 65 64 29 79 0 109 13 62 79
Character l a p r p -p -r p r a o c h -h -c -o -a o a c h s o
Milliseconds 61 142 46 172 390 0 370 98 185 46 77 31 63 170 201 129 91 78 205 65 29 47 77 62 64
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 93 48 15 63 61 18 75 15 173 172 125 62 94 50 59 30 45 50 44 31 47 78 33 76 63
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 63 16 64 122 95 33 76 62 47 65 139 156 16 91 65 60 47 30 46 50 60 69 88 78 93
Character i d d d e a -a -e -d -d e a o f t h i s c h a p
Milliseconds 64 91 251 47 127 46 280 94 79 95 95 48 65 64 78 30 77 16 43 22 90 96 65 215 34
Character t e r , t h e l i m i t . T h e d i e a
Milliseconds 92 78 49 27 64 48 48 15 63 49 28 124 65 77 141 59 47 78 31 127 93 0 142 61 94
Character o -o - -a -e -i -d i d e a o f a l i m i t p l
Milliseconds 18 184 204 93 79 78 123 233 94 94 77 0 63 94 15 45 93 81 31 107 63 94 47 46 46
Character a y s a f o u n d i a t -t -a -i a t i o n a l
Milliseconds 66 75 48 47 78 92 31 46 31 141 93 93 0 64 312 76 81 98 43 58 0 60 82 37 100
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 100 40 123 138 79 40 44 76 40 40 60 40 60 60 39 42 70 75 34 100 61 40 163 116 60
WPM Timing
Seconds WPM
1.69 113.65
3.38 85.24
5.07 89.97
6.76 106.55
8.45 106.55
10.14 124.3
11.83 125.82
13.52 133.18
15.2 127.85
16.89 115.07
18.58 116.23
20.27 120.16
21.96 113.65
23.65 113.65
25.34 108.91
27.03 113.2
28.72 111.14
30.41 112.86
32.1 115.89
33.79 118.62
35.48 122.44
37.17 120.11
38.86 117.97
40.55 118.68
42.24 119.33
43.93 121.84
45.61 124.17
47.3 124.05
48.99 123.69
50.68 123.59
52.37 125.1
54.06 123.19
55.75 124.63
57.44 123.68
59.13 124.2
60.82 122.53
62.51 124.59
64.2 123.56
65.89 124.21
67.58 122.35
69.27 122.31
70.96 120.41
72.65 121.91
74.33 123.17
76.02 121.86
77.71 123.07
79.4 121.2
81.09 122.67
82.78 122.2
84.47 122.74