Last (thelastmuffin)

Race #4070

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Official speed 103.11 wpm (100.55 seconds elapsed during race)
Without ending ping 103.29 wpm (180 ms delay sending score to TypeRacer’s server)
Timerless 103.70 wpm (390 ms elapsed before first character typed; 99.98 seconds elapsed during race)
Timerless minus one 103.58 wpm, ignoring the first character typed
Race Start November 6, 2023 12:55:23pm UTC
Race Finish November 6, 2023 12:57:04pm UTC
Outcome No win (2 of 5)
Opponents 1. umm_eran (103.77 wpm)
3. vividkun (101.68 wpm)
4. elagon (101.12 wpm)
Accuracy 97.1%
Points 278.40
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 that helps us understand how a change in one quantity uis realatrelated to a change in another . How does the speed of a afalling object chanfge as a function of time? How odoes the level of water ina bin a barrel change adss a function of the amount of liquid poured into it ? We see change occuring inoccurring int nearly everything we observe in the world and unicverse, and powerful modern instruments help us see more and more. IN n this section we introduce the ideas of average iaand instantanseous rates of chagnge, and show that they are colslosely related tot the slope fof 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 se ee hoe w they lead naturally to the main eidea of this chapter, the mllimit. The idea of a limit plays a foundational role throughout clacclaulculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 390 300 129 242 101 157 192 92 1072 372 105 102 114 103 78 88 131 149 67 93 90 70 69 28 73
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 116 85 141 98 44 85 102 60 122 70 64 127 65 112 245 113 137 72 88 70 79 34 57 110 80
Character c h a n g e i n o n e q u a n t i t y u -u
Milliseconds 86 65 95 68 63 62 82 117 27 65 89 61 56 61 215 31 181 72 118 60 107 212 90 159 279
Character i s r e a l a t -r -e -a -l -a -t r e l a t e d t o
Milliseconds 151 41 59 103 71 55 17 135 47 320 0 0 0 0 0 286 77 64 119 72 74 137 32 123 61
Character a c h a n g e i n a n o t h e r - . H
Milliseconds 111 30 118 131 99 58 72 81 69 47 68 30 66 66 73 54 58 66 62 46 168 290 195 56 183
Character o w d o e s t h e s p e e d o f a a -a
Milliseconds 172 96 161 120 149 69 88 109 94 59 69 34 91 46 111 142 147 94 97 65 135 20 90 135 345
Character f a l l i n g o b j e c t c h a n f -f g e a
Milliseconds 69 43 84 137 91 56 56 49 75 90 100 97 98 229 97 168 66 78 71 237 240 67 65 47 87
Character s a f u n c t i o n o f t i m e ? H o w
Milliseconds 140 137 96 99 95 61 58 111 183 61 40 81 54 78 83 62 107 32 66 77 124 127 115 128 60
Character o -o d o e s t h e l e v e l o f w a t e
Milliseconds 97 213 259 70 92 59 81 77 93 53 83 15 109 94 63 108 84 69 85 86 74 90 94 61 107
Character r i n a b -b -i -n -a - - i n a b a r r e l
Milliseconds 65 40 78 33 106 17 165 76 271 133 0 0 0 0 461 53 82 81 92 131 186 61 169 59 58
Character c h a n g e a d s -s -d s a f u n c t i o n
Milliseconds 142 135 57 118 37 91 68 334 102 142 87 272 113 57 94 87 96 104 74 62 75 178 40 47 70
Character o f t h e a m o u n t o f l i q u i d
Milliseconds 62 66 54 82 79 70 66 43 88 102 60 88 141 74 78 124 103 53 114 79 188 66 65 130 75
Character p o u r e d i n t o i t - ? W e s e e
Milliseconds 119 43 173 106 254 209 55 98 39 65 63 102 113 69 325 283 193 144 112 183 74 123 62 157 52
Character c h a n g e o c c u r i n g i n -i -n -o -c -c -u -r
Milliseconds 133 51 98 70 46 75 25 100 64 141 120 133 70 63 71 89 59 64 254 0 109 0 0 0 0
Character -i -n -g - o c c u r r i n g i n t -t n e a r l y
Milliseconds 0 0 0 0 410 120 130 57 121 175 191 66 44 93 107 13 138 268 86 230 158 87 29 79 123
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 311 124 213 147 49 60 123 49 64 91 60 40 120 15 82 142 197 186 113 103 231 69 75 50 60
Character t h e w o r l d a n d u n i c -c v e r s e
Milliseconds 55 49 79 43 62 65 77 68 112 41 79 69 124 27 107 146 53 165 78 279 53 116 80 95 59
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 88 67 57 106 80 41 106 58 68 44 64 138 32 126 81 62 55 44 134 35 70 185 212 83 115
Character t r u m e n t s h e l p u s s e e m o r e
Milliseconds 64 67 84 134 53 82 77 102 65 107 99 54 176 112 104 89 246 199 116 162 92 93 53 53 62
Character a n d m o r e . I N - -N n t h i s s e
Milliseconds 42 65 47 94 21 109 64 33 60 95 89 136 83 196 241 132 160 86 126 78 57 52 63 127 19
Character c t i o n w e i n t r o d u c e t h e i d
Milliseconds 181 170 62 44 68 54 126 76 118 119 20 104 159 39 141 103 96 84 133 59 180 63 72 130 44
Character e a s o f a v e r a g e i a -a -i a n d i n
Milliseconds 155 71 129 99 99 122 135 150 93 140 54 119 110 69 45 123 95 180 113 127 77 59 107 108 49
Character s t a n t a n s -s e o u s r a t e s o f c h
Milliseconds 96 184 73 97 175 134 119 331 241 88 82 75 61 98 88 67 143 50 86 39 157 92 146 167 69
Character a g -g n g e , a n d s h o w t h a t t h e
Milliseconds 68 377 275 139 73 77 117 98 64 72 74 45 107 68 41 103 148 118 77 82 91 56 131 63 93
Character y a r e c o l s -s -l -o l o s e l y r e l a t
Milliseconds 73 103 99 86 169 121 202 69 161 89 220 116 145 125 141 71 60 103 79 93 142 82 63 175 90
Character e d t o t - -t t h e s l o p e f -f o f
Milliseconds 133 227 85 99 82 111 35 345 112 77 101 93 49 63 150 55 146 79 211 117 165 241 122 128 68
Character a c u r v e a t a p o i n t P o n t
Milliseconds 82 83 105 61 128 175 116 92 136 301 95 112 113 165 56 89 50 51 71 156 135 109 53 63 88
Character h e c u r v e . W e g i v e p r e c i s e
Milliseconds 73 66 62 110 95 82 186 85 69 99 128 171 77 132 103 107 71 118 117 80 65 280 122 144 75
Character d e v e l o p m e n t s o f t h e s e i m
Milliseconds 160 207 154 82 125 270 191 72 155 68 91 56 81 60 77 65 82 108 57 90 52 138 65 85 66
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 87 56 68 136 103 33 132 75 186 45 53 117 76 62 144 91 72 81 42 86 65 95 66 60 71
Character e x t c h a p t e r , b u t f o r n o w
Milliseconds 80 193 107 84 158 35 114 17 142 140 16 78 102 128 37 129 68 147 40 83 78 39 31 64 65
Character w e u s e a n i n f o r m a l a p p r o a
Milliseconds 396 25 101 171 107 61 47 87 76 109 93 48 65 125 87 170 126 90 83 169 88 128 104 90 137
Character c h s o y o u w i l l s e e -e - e h o
Milliseconds 100 44 120 81 70 85 58 59 66 55 43 75 157 145 20 59 56 107 128 217 101 49 59 121 30
Character e - -e w t h e y l e a d n a t u r a l l y
Milliseconds 130 118 208 133 99 52 93 64 70 52 117 75 63 53 118 70 62 70 64 99 77 92 69 129 109
Character t o t h e m a i n e -e i d e a o f t h
Milliseconds 55 160 42 77 100 34 93 71 55 91 63 42 99 91 240 99 105 153 64 146 74 85 52 134 7
Character i s c h a p t e r , t h e m l -l -m l i m i t
Milliseconds 44 63 55 125 51 90 27 113 114 54 56 85 79 67 66 53 302 55 320 411 208 192 67 130 61
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 170 70 131 90 99 40 93 70 127 65 134 53 174 160 113 86 96 119 125 105 110 33 96 128 72
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 62 134 76 123 201 97 79 60 144 41 68 62 90 24 77 162 91 65 151 70 157 31 97 99 60
Character r o u g h o u t c l a c -c -c -l -a c l -l a u -u l c
Milliseconds 103 43 57 79 75 110 57 76 67 182 91 19 202 266 140 0 0 180 116 281 214 229 389 175 68
Character u l u s .
Milliseconds 110 119 137 77 120
WPM Timing
Seconds WPM
2.01 47.74
4.02 56.69
6.03 79.56
8.04 98.46
10.06 90.7
12.07 93.48
14.08 95.47
16.09 98.46
18.1 99.45
20.11 100.25
22.12 100.9
24.13 101.94
26.14 99.6
28.15 98.46
30.17 101.84
32.18 102.56
34.19 100.74
36.2 97.13
38.21 96.41
40.22 97.56
42.23 99.45
44.24 100.35
46.25 101.44
48.27 102.19
50.28 102.16
52.29 102.82
54.3 103.21
56.31 102.72
58.32 102.26
60.33 102.04
62.34 101.82
64.35 101.25
66.36 100.72
68.38 100.04
70.39 100.76
72.4 100.78
74.41 100.96
76.42 101.91
78.43 102.82
80.44 103.38
82.45 103.62
84.46 103.85
86.48 104.08
88.49 104.42
90.5 104.89
92.51 104.29
94.52 104.49
96.53 104.92
98.54 104.24
100.55 103.11