Antcode (antcode123)

Race #13

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Official speed 89.91 wpm (115.32 seconds elapsed during race)
Without ending ping 90.11 wpm (262 ms delay sending score to TypeRacer’s server)
Timerless 90.74 wpm (789 ms elapsed before first character typed; 114.26 seconds elapsed during race)
Timerless minus one 90.63 wpm, ignoring the first character typed
Race Start December 3, 2024 5:02:07am UTC
Race Finish December 3, 2024 5:04:02am UTC
Outcome No win (3 of 4)
Opponents 1. aliciamichele (108.84 wpm)
2. screaminserpent (106.83 wpm)
Accuracy 97.4%
Points 242.75
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 up sund 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 liqueid poured into it? We see change cooccurring in nearly everything we observe int he the world and universe, and powerful m ododern instruments help us see more and more. In this section we introduce the ideas of vavergaage and instatntntaneous rate sofs of change, and howshow that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these improtortant concepts int he in the next chapter, but for now we use an informal approach so willyou will see how they lead naturally to the main idea of this chapter, the limint.t. The idea of a limit plays a foundational role throughtouout claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 789 155 128 248 70 161 199 122 91 129 58 115 113 89 153 48 156 162 123 31 73 90 65 41 82
Character e l p s u p - -p s u n d -d -n -u u n d e r s t
Milliseconds 141 66 174 194 183 156 146 159 430 138 104 162 183 73 317 125 151 144 123 175 61 170 36 201 60
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 144 38 98 72 110 42 41 86 102 86 110 54 118 51 72 99 25 65 120 81 67 139 40 99 145
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 57 148 111 211 67 145 172 132 149 81 77 130 66 114 121 62 120 169 56 132 59 94 48 117 144
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 54 134 31 85 146 41 67 132 72 122 74 55 167 92 134 60 153 125 194 158 90 98 108 62 126
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 78 58 100 76 54 66 128 53 175 178 167 63 156 61 73 78 75 168 187 135 162 169 129 25 77
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 164 48 134 117 176 125 110 104 72 117 58 60 116 48 122 198 106 72 102 60 118 186 60 166 30
Character o n o f t i m e / -/ ? H o w d o e s t h
Milliseconds 52 105 48 109 128 60 137 73 147 44 228 546 224 624 213 201 125 91 118 66 102 67 55 109 62
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 48 96 24 103 116 102 71 76 95 73 78 86 133 55 145 56 65 55 158 57 59 103 109 184 165
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 146 129 182 0 103 54 114 51 55 161 66 52 197 85 125 56 758 51 180 18 144 25 49 98 44
Character o f t h e a m o u n t o f l i q u e -e i d
Milliseconds 112 93 61 188 47 78 75 143 106 131 103 165 48 74 107 85 68 102 72 162 110 88 386 189 95
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 116 193 169 92 151 92 199 87 59 129 90 54 138 135 59 238 198 178 133 108 312 101 164 71 113
Character h a n g e c o -o -c o c c u r r i n g i n n e
Milliseconds 19 101 57 81 102 74 193 54 270 120 200 55 169 84 139 170 80 162 56 89 80 105 89 108 37
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 78 68 78 158 114 104 164 104 77 44 471 56 66 128 35 124 97 70 68 206 164 210 100 66 204
Character e i n t h e - -e -h - - -t t h e w o r l
Milliseconds 106 77 17 128 104 7 87 26 104 395 139 144 147 174 255 128 174 102 88 59 86 109 36 55 116
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 42 84 98 95 56 98 95 171 83 81 150 69 135 81 91 137 93 98 52 100 434 170 44 46 68
Character f u l m o d -d -o - o d e r n i n s t r u m e
Milliseconds 168 62 150 154 205 37 68 156 253 116 156 201 55 158 32 88 80 92 108 54 68 156 104 345 117
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 71 90 129 78 127 86 132 188 136 95 104 79 138 140 169 13 170 83 67 88 9 158 6 127 56
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 138 74 55 72 121 167 142 122 66 79 65 50 67 72 139 92 202 137 7 24 127 47 117 72 91
Character i n t r o d u c e t h e i d e a s o f v -v
Milliseconds 204 148 71 183 90 174 120 143 181 59 77 58 78 210 0 66 99 62 241 0 100 115 116 173 269
Character a v e r g a -a -g a g e a n d i n s t a t n t -t
Milliseconds 114 156 149 77 169 255 248 115 44 54 131 81 115 84 93 79 95 134 96 63 169 80 126 212 192
Character -n -t n t a n e o u s r a t e s o f -f -o -s - s
Milliseconds 117 155 220 99 131 567 197 174 92 127 105 112 147 86 126 111 11 143 101 260 115 144 128 136 77
Character o f c h a n g e , a n d h o w -h -o -w s h o w
Milliseconds 128 78 115 120 75 120 49 78 104 87 100 86 55 113 48 146 55 41 360 0 0 227 79 31 139
Character t h a t t h e y a r e c l o s e l y r e
Milliseconds 98 91 61 110 71 30 147 66 115 73 92 72 84 86 126 122 110 142 59 53 120 189 326 535 85
Character l a t e d t o t h e s l o p e o f a c
Milliseconds 156 119 232 129 188 19 278 78 400 96 74 60 97 98 61 544 110 115 101 75 97 91 68 114 157
Character u r v e a t a p o i n t P o n t h e
Milliseconds 103 109 220 114 92 71 97 79 191 119 180 145 37 133 19 109 180 189 150 166 102 43 74 94 74
Character c u r v e . W e g i v e p r e c i s e d e
Milliseconds 163 32 138 214 125 81 225 197 57 145 90 135 84 103 71 133 85 44 188 108 123 125 111 144 169
Character v e l o p m e n t s o f t h e s e i m p r o
Milliseconds 112 101 11 209 166 209 107 130 114 174 64 132 92 97 71 74 47 69 132 54 61 146 94 117 74
Character t -t -o -r o r t a n t c o n c e p t s i n t h
Milliseconds 140 294 116 146 212 0 157 116 103 92 89 122 59 133 116 184 87 101 131 32 83 133 56 12 116
Character e -h -e - -i -n -t - i n t h e n e x t c h a p
Milliseconds 6 136 346 0 0 487 0 0 0 611 147 83 32 88 136 10 122 53 195 173 39 310 74 104 97
Character t e r , b u t f o r n o w w e u s e a
Milliseconds 217 187 65 134 108 130 66 120 62 158 54 104 80 113 66 27 126 174 97 195 352 115 68 101 104
Character n i n f o r m a l a p p r o a c h s o w i
Milliseconds 97 143 45 139 77 76 85 102 102 87 160 116 116 140 138 49 83 189 81 132 187 43 104 162 50
Character l l -w -i -l -l y o u w i l l s e e h o w t h
Milliseconds 177 139 385 0 0 0 323 97 104 55 95 67 164 153 70 75 98 164 89 139 55 47 105 60 102
Character e y l e a d n a t u r a l l y t o t h e
Milliseconds 56 108 98 78 60 79 150 94 271 61 91 145 85 110 99 148 134 120 98 43 120 99 89 91 85
Character m a i n i d e a o f t h i s c h a p t e r
Milliseconds 123 114 91 137 146 358 164 164 85 85 62 120 98 82 87 43 71 109 81 71 102 133 118 169 61
Character , t h e l i m i n t . -. -t -n t . T h e i d
Milliseconds 95 104 184 77 382 121 131 44 171 102 238 132 133 250 137 145 117 115 157 164 120 98 77 397 108
Character e a o f a l i m i t p l a y s a f o u
Milliseconds 174 55 123 90 122 80 42 150 436 49 169 123 161 135 141 173 56 101 159 158 126 114 172 86 102
Character n d a t i o n a l r o l e t h r o u g h t o u
Milliseconds 204 56 192 64 29 55 106 136 109 175 167 34 193 91 91 67 59 118 11 92 84 77 135 73 97
Character -u -o -t o u t c l a -a -l a l c u l u s .
Milliseconds 273 139 150 225 38 102 97 127 212 18 375 110 128 85 126 67 399 142 143 98
WPM Timing
Seconds WPM
2.31 62.44
4.61 80.65
6.92 62.44
9.23 81.95
11.53 85.33
13.84 91.92
16.14 94.4
18.45 95.61
20.76 98.86
23.06 92.62
25.37 96.97
27.68 98.43
29.98 98.46
32.29 97.37
34.59 97.13
36.9 95.61
39.21 97.02
41.51 96.84
43.82 93.38
46.13 94.96
48.43 92.91
50.74 93.66
53.05 94.79
55.35 95.82
57.66 96.15
59.96 95.06
62.27 93.08
64.58 91.61
66.88 91.5
69.19 92.62
71.5 91.64
73.8 91.71
76.11 91.76
78.41 92.13
80.72 92.17
83.03 91.92
85.33 91.69
87.64 90.64
89.95 90.85
92.25 91.18
94.56 90.86
96.86 90.93
99.17 91.48
101.48 91.76
103.78 91.81
106.09 90.83
108.4 90.67
110.7 90.95
113.01 90.68
115.32 89.91