FAKE_IT_&_REGRET_IT (someone_who_needs_help)

Race #11329

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Official speed 111.28 wpm (93.17 seconds elapsed during race)
Without ending ping 111.45 wpm (143 ms delay sending score to TypeRacer’s server)
Timerless 112.02 wpm (470 ms elapsed before first character typed; 92.56 seconds elapsed during race)
Timerless minus one 111.89 wpm, ignoring the first character typed
Race Start December 18, 2023 11:30:09am UTC
Race Finish December 18, 2023 11:31:42am UTC
Outcome No win (3 of 4)
Opponents 1. altrocality (137.15 wpm)
2. kewlbum (118.03 wpm)
Accuracy 98.8%
Points 300.45
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 understnaand how a change in one quantity is related to a change in another. How does the speed of a gafalling object change as a function of time? How sdoes the level of water in a barrel change as a function of the amount of liquid poured into it? We see dchchange 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 thgee slope of a curve at a point P on the curve. We gtive precise developments of these important concepts in the next chapter, but for now ewe use in aan informal approach so you will see how they lead naturallyto t to the main iadedea of this chapeter, 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 470 154 79 119 68 136 101 194 260 65 61 102 66 99 99 83 117 172 84 197 118 79 55 60 58
Character e l p s u s u n d e r s t n a -a -n a n d h o
Milliseconds 125 91 130 106 58 81 59 90 42 207 105 128 86 105 185 256 41 306 148 280 83 82 56 79 72
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 59 67 100 126 111 110 71 81 56 83 66 59 47 65 112 54 60 62 196 117 380 88 100 66 95
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 65 90 77 87 33 115 59 132 65 78 44 138 89 130 76 71 99 200 236 103 54 111 74 81 40
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 92 37 78 40 99 79 96 109 78 38 145 43 141 135 64 85 68 103 84 68 148 88 105 60 95
Character s p e e d o f a g a -a -g f a l l i n g o b
Milliseconds 94 96 96 146 168 0 145 99 80 82 105 115 52 402 106 124 84 74 98 68 56 46 82 72 139
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 110 83 127 117 104 110 92 60 104 13 79 135 111 104 36 148 70 144 103 130 24 276 62 18 56
Character o f t i m e ? H o w s -s d o e s t h e
Milliseconds 55 113 27 74 96 60 50 45 215 55 160 165 60 106 81 357 84 117 50 110 81 162 95 80 62
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 74 41 125 90 106 55 103 35 77 148 125 75 83 68 58 59 45 79 25 100 71 132 93 115 84
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 110 46 66 106 60 102 47 59 188 89 65 84 84 105 131 107 128 90 203 72 28 38 59 134 43
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 46 121 62 65 98 124 99 173 47 204 330 293 99 64 54 65 76 167 95 79 163 40 332 177 42
Character r e d i n t o i t ? W e s e e d c h -h -c
Milliseconds 77 66 141 58 214 59 83 101 67 88 56 192 63 158 211 101 89 142 98 97 111 0 129 300 109
Character -d c h a n g e o c c u r r i n g i n n e a r
Milliseconds 107 142 102 72 83 44 88 87 54 80 120 120 77 134 90 63 18 65 90 46 47 117 91 76 71
Character l y e v e r y t h i n g w e o b s e r v e
Milliseconds 64 100 69 63 101 89 53 77 90 61 53 79 102 140 88 110 141 128 42 329 73 88 143 106 108
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 57 50 63 80 84 82 34 124 194 35 232 64 94 78 56 92 29 99 147 101 39 161 0 153 71
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 117 42 74 80 85 113 58 153 37 46 60 119 79 106 83 84 121 81 127 65 88 89 81 51 82
Character t r u m e n t s h e l p u s s e e m o r e
Milliseconds 71 140 89 158 90 105 30 105 79 85 105 75 151 240 118 74 76 143 140 101 69 63 85 31 58
Character a n d m o r e . I n t h i s s e c t i o
Milliseconds 93 102 68 82 15 150 67 104 30 72 103 324 160 104 131 58 50 78 33 104 102 131 111 48 22
Character n w e i n t r o d u c e t h e i d e a s
Milliseconds 32 51 95 70 101 78 56 36 123 96 88 131 63 133 41 131 76 83 107 49 42 132 71 275 134
Character o f a v e r a g e a n d i n s t a n t a n e
Milliseconds 48 73 96 156 127 107 68 107 83 83 82 94 82 68 60 92 60 59 88 65 114 197 119 104 111
Character o u s r a t e s o f c h a n g e , a n d
Milliseconds 181 41 236 101 78 116 84 78 100 111 227 74 88 438 94 61 90 39 85 98 43 65 62 33 90
Character s h o w t h a t t h e y a r e c l o s e l
Milliseconds 184 73 60 79 101 77 88 13 67 75 84 76 50 84 70 34 83 0 143 103 73 143 77 50 106
Character y r e l a t e d t o t h g e -e -g e s l o p
Milliseconds 94 81 52 143 211 63 76 104 154 88 56 98 67 97 111 24 54 410 101 336 102 100 59 125 84
Character e o f a c u r v e a t a p o i n t P
Milliseconds 78 101 41 58 84 67 126 77 174 50 161 81 91 78 76 50 170 117 98 184 38 69 65 97 141
Character o n t h e c u r v e . W e g t -t i v e
Milliseconds 202 159 64 49 74 84 71 65 82 80 89 149 84 58 40 174 197 112 153 0 498 209 46 70 63
Character p r e c i s e d e v e l o p m e n t s o f t
Milliseconds 83 99 78 143 91 93 91 88 131 172 116 91 92 135 77 199 64 175 68 146 95 104 43 99 85
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 124 83 119 81 43 71 60 113 135 62 133 105 81 58 83 92 58 50 56 137 55 119 107 71 55
Character n t h e n e x t c h a p t e r , b u t f
Milliseconds 411 57 124 89 71 64 64 66 196 165 87 93 98 82 102 464 0 802 410 83 141 92 81 56 101
Character o r n o w e -e w e u s e i n - -n a -a -i a
Milliseconds 58 71 23 114 41 85 123 48 442 280 101 97 112 55 104 92 64 66 50 314 118 138 221 86 190
Character n i n f o r m a l a p p r o a c h s o y o
Milliseconds 151 66 147 48 113 102 108 79 120 49 75 110 60 94 120 105 58 109 109 92 95 75 64 75 58
Character u w i l l s e e h o w t h e y l e a d
Milliseconds 65 49 78 72 145 109 84 18 180 80 173 29 76 57 78 88 75 62 90 57 115 64 87 105 96
Character n a t u r a l l y t o t -t - -o -t t o t h e
Milliseconds 64 91 105 122 54 93 60 92 99 132 85 55 113 267 109 123 121 110 99 93 49 116 113 91 66
Character m a i n i a d e -e -d -a d e a o f t h i s c
Milliseconds 73 102 75 53 45 131 81 86 126 329 110 134 305 168 101 59 57 96 78 93 51 55 78 57 83
Character h a p e -e t e r , t h e l i m i t . T h e
Milliseconds 160 183 91 169 423 110 104 65 55 35 112 58 129 73 134 101 69 162 97 82 65 137 191 164 89
Character i d e a o f a l i m i t p l a y s a f
Milliseconds 104 66 151 261 99 77 65 90 67 152 156 54 70 164 93 97 71 173 103 128 77 103 84 105 142
Character o u n d a t i o n a l r o l e t h r o u g h o
Milliseconds 48 40 136 50 96 98 39 17 45 80 111 74 102 71 139 64 113 116 171 297 98 23 80 72 141
Character u t c a l c u l u s .
Milliseconds 37 109 76 112 139 94 189 91 122 109 165 76
WPM Timing
Seconds WPM
1.86 77.28
3.73 99.82
5.59 85.86
7.45 101.43
9.32 103.04
11.18 107.33
13.04 110.4
14.91 106.26
16.77 109.48
18.63 112.7
20.5 109.48
22.36 113.23
24.22 114.43
26.09 115
27.95 112.91
29.81 112.7
31.68 110.99
33.54 113.05
35.4 112.87
37.27 113.66
39.13 115
40.99 115.92
42.86 116.2
44.72 116.99
46.59 117.72
48.45 117.9
50.31 117.59
52.18 117.3
54.04 118.58
55.9 117.85
57.77 117.37
59.63 117.12
61.49 116.89
63.36 116.3
65.22 116.28
67.08 116.81
68.95 116.26
70.81 114.56
72.67 113.94
74.54 112.21
76.4 112.93
78.26 113.62
80.13 112.62
81.99 112.11
83.85 111.62
85.72 111.16
87.58 110.98
89.44 111.09
91.31 111.32
93.17 111.28