I hate red switches (younkk)

Race #168

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Official speed 130.40 wpm (79.51 seconds elapsed during race)
Without ending ping 130.62 wpm (135 ms delay sending score to TypeRacer’s server)
Timerless 131.15 wpm (321 ms elapsed before first character typed; 79.05 seconds elapsed during race)
Timerless minus one 131.00 wpm, ignoring the first character typed
Race Start October 23, 2023 1:24:51pm UTC
Race Finish October 23, 2023 1:26:10pm UTC
Outcome Win (1 of 4)
Opponents 2. whathaha3 (117.41 wpm)
3. arkosammy_1208 (117.26 wpm)
Accuracy 97.7%
Points 352.08
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 qunaanititity is related to a change in another. How does the speed of a falling object change aas a function of tine?me? Hoow w doe the s the level of water in a barrel change as a function of the amontunt of liquid poured into it? We see change occuring inring in nearly soeeverything ewe observe in the world and universe, and powerful modern instruments help us see more and more. In this section we tiintroduce the ideas of average and instantaenous neous rates of change, and show that they ware closely related toth the lsopslope 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 approcach so you will see how they lead naturally to the main idea of this cahhapter, the limit. The idea of a limit plays a foundational role throughout chalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 321 66 58 92 76 156 66 153 231 75 132 52 82 79 55 61 125 117 31 59 72 12 81 20 57
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 73 52 98 83 50 60 83 42 198 126 40 147 20 90 79 58 47 84 78 61 32 49 51 573 62
Character c h a n g e i n o n e q u n a -a -n a n i t i
Milliseconds 72 46 79 48 68 39 40 11 42 98 40 50 49 35 268 77 168 85 157 111 57 38 108 11 138
Character -i -t -i t i t y i s r e l a t e d t o a c
Milliseconds 243 133 336 119 64 94 60 92 76 31 61 127 29 82 118 69 55 131 25 133 59 82 47 98 83
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 84 106 21 82 50 49 36 27 94 56 58 36 69 26 75 39 51 34 181 52 71 54 65 54 95
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 22 37 84 58 49 57 62 81 101 132 125 44 48 78 76 74 75 74 50 96 108 54 42 35 52
Character o b j e c t c h a n g e a a -a s a f u n c
Milliseconds 72 84 115 54 172 97 54 100 50 51 77 35 47 53 82 131 335 51 54 87 80 49 78 127 50
Character t i o n o f t i n e ? -? -e -n m e ? H o o w
Milliseconds 112 24 22 50 54 84 72 141 68 49 44 82 182 175 114 107 115 55 202 79 296 52 190 99 49
Character - -w -o w d o e t h e - -t -h -e - s t h e l
Milliseconds 183 122 103 36 25 67 52 83 57 79 80 34 57 161 143 0 0 350 207 75 126 63 73 27 73
Character e v e l o f w a t e r i n a b a r r e l
Milliseconds 50 109 25 35 68 125 74 44 94 65 178 56 73 28 48 34 81 9 128 68 100 121 126 23 56
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 43 69 86 44 90 28 36 45 64 124 64 84 81 84 90 131 30 154 15 34 24 140 70 68 62
Character t h e a m o n t -t -n u n t o f l i q u i d
Milliseconds 112 14 53 57 67 77 91 182 75 211 112 464 151 70 40 60 87 36 104 80 86 78 35 80 64
Character p o u r e d i n t o i t ? W e s e e c h
Milliseconds 74 110 24 47 34 119 48 44 13 88 44 291 108 29 147 121 168 99 87 73 190 147 30 87 38
Character a n g e o c c u r i n g i n -i -n - -g -n -i r i n
Milliseconds 62 68 45 13 52 54 90 142 89 86 71 49 43 63 56 47 302 0 170 120 125 107 85 67 44
Character g i n n e a r l y s o -o e -e -s e v e r y t h
Milliseconds 56 25 59 33 89 76 61 30 34 39 112 52 95 62 213 50 154 150 84 72 67 91 88 121 33
Character i n g e -e w e o b s e r v e i n t h e w
Milliseconds 49 94 41 63 203 266 90 39 62 120 141 116 47 50 146 66 51 46 21 77 45 50 65 56 64
Character o r l d a n d u n i v e r s e , a n d p o
Milliseconds 46 56 79 50 58 111 74 61 51 78 130 57 87 111 51 109 47 53 47 44 63 63 38 111 107
Character w e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 68 33 64 146 56 96 93 74 95 68 142 49 81 103 66 58 221 58 122 24 123 56 79 41 50
Character h e l p u s s e e m o r e a n d m o r
Milliseconds 37 66 71 48 78 97 63 74 77 126 50 133 34 32 51 77 45 29 68 78 60 30 78 61 63
Character e . I n t h i s s e c t i o n w e t i -i
Milliseconds 19 92 75 148 109 77 54 51 19 101 17 131 10 140 104 30 10 35 96 57 38 93 99 67 207
Character -t i n t r o d u c e t h e i d e a s o f a
Milliseconds 120 100 8 46 142 42 100 92 75 124 35 93 45 65 72 110 23 242 60 124 58 47 88 188 81
Character v e r a g e a n d i n s t a n t a e n o u s
Milliseconds 143 89 86 66 85 60 32 61 82 61 48 143 30 73 69 80 422 114 92 276 81 41 93 46 49
Character - -s -u -o -n -e n e o u s r a t e s o f c h a n
Milliseconds 170 129 120 124 124 106 107 24 95 319 60 38 106 63 106 76 132 71 86 85 54 91 43 12 135
Character g e , a n d s h o w t h a t t h e y w -w
Milliseconds 48 23 120 84 53 59 41 56 142 74 40 61 60 58 51 45 63 40 94 30 64 62 28 220 199
Character a r e c l o s e l y r e l a t e d t o t h -h
Milliseconds 89 47 39 49 113 29 132 35 35 73 104 36 60 22 76 94 62 31 138 51 71 43 120 136 216
Character -t t h e l s o p -l -s -o -p s l o p e o f a
Milliseconds 125 44 36 41 53 56 60 0 136 88 253 0 0 0 77 55 118 78 21 37 121 52 66 44 103
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 44 117 187 266 61 34 97 68 35 103 79 101 59 41 22 43 46 179 108 97 64 68 62 46 68
Character c u r v e - . W e g i v e p r e c i s e
Milliseconds 42 96 54 66 143 25 419 275 148 56 106 74 124 109 72 82 35 28 68 106 58 108 79 83 21
Character d e v e l o p m e n t s o f t h e s e i m
Milliseconds 115 88 137 134 39 316 149 47 218 83 80 34 58 23 88 74 37 118 37 65 130 51 48 42 103
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 119 107 57 134 25 43 69 33 106 34 40 81 138 67 34 70 37 78 69 41 45 55 71 64 193
Character e x t c h a p t e r , b u t f o r n o w
Milliseconds 41 117 78 23 94 44 55 65 66 72 54 35 38 102 68 84 52 71 51 108 81 12 45 70 67
Character w e u s e a n i n f o r m a l a p p r o c
Milliseconds 311 55 59 116 115 22 46 81 49 84 103 47 76 61 96 55 86 104 104 63 97 139 80 36 104
Character -c a c h s o y o u w i l l s e e h o w
Milliseconds 343 51 81 68 40 96 53 105 34 57 80 25 35 66 126 111 33 56 43 140 35 66 31 65 53
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 264 66 79 55 51 83 36 29 111 38 79 59 58 60 76 47 60 108 103 28 56 51 106 15 76
Character e m a i n i d e a o f t h i s c a h -h -a
Milliseconds 67 93 32 94 29 87 46 129 105 119 9 68 47 143 103 75 49 15 57 58 95 85 35 228 110
Character h a p t e r , t h e l i m i t . T h e i d
Milliseconds 97 50 69 67 69 62 47 48 91 55 55 56 163 101 148 72 108 102 95 161 91 46 50 67 95
Character e a o f a l i m i t p l a y s a f o u
Milliseconds 265 83 105 117 141 97 80 140 138 99 127 48 97 52 58 100 44 78 66 50 81 83 22 69 207
Character n d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 218 89 79 82 58 34 72 85 73 64 70 53 128 40 52 54 65 101 12 54 77 89 202 39 79
Character c h -h a l c u l u s .
Milliseconds 55 182 80 208 69 78 79 120 118 125 68 65
WPM Timing
Seconds WPM
1.59 98.1
3.18 128.29
4.77 128.29
6.36 128.29
7.95 114.7
9.54 123.26
11.13 132.6
12.72 135.83
14.31 134.16
15.9 130.55
17.49 123.48
19.08 117.6
20.67 121.9
22.26 124.51
23.85 124.77
25.44 124.04
27.03 124.29
28.62 124.51
30.21 123.12
31.8 121.12
33.39 120.74
34.98 123.14
36.57 124.68
38.16 126.09
39.75 127.99
41.34 128.29
42.93 128.57
44.53 129.1
46.12 125.42
47.71 124.51
49.3 126.34
50.89 127.11
52.48 126
54.07 125.4
55.66 126.78
57.25 125.35
58.84 125.43
60.43 126.1
62.02 127.51
63.61 128.48
65.2 129.02
66.79 128.47
68.38 129.34
69.97 130.69
71.56 130.63
73.15 130.75
74.74 130.21
76.33 130.33
77.92 131.06
79.51 130.4