Helloween (tranduclocbkmail1)

Race #3330

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Official speed 79.97 wpm (129.65 seconds elapsed during race)
Without ending ping 80.08 wpm (173 ms delay sending score to TypeRacer’s server)
Timerless 80.14 wpm (99 ms elapsed before first character typed; 129.38 seconds elapsed during race)
Timerless minus one 80.05 wpm, ignoring the first character typed
Race Start January 5, 2024 2:15:18am UTC
Race Finish January 5, 2024 2:17:27am UTC
Outcome No win (2 of 3)
Opponents 1. noremac5 (86.31 wpm)
Accuracy 97.6%
Points 215.93
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 if s related to a change in another. How does the speed of a falling ojbebject 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 instarumruemtnsments help us see more and more. In this section we introduce th e ideas of average and instantaneous rates of change, and hoshow that they are closely related tot the slope of a curve at a point P on the curve. We give precise developments of these important concept sin s in the next chaper, ter, but for now uwe use an informal apporaroach so wyou will se how e how they lead naturally to the main idea of this caphapter, the limit. The idea of a limit plays a foundational role troughhhroughout aclaalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 99 364 397 190 65 203 139 102 78 207 133 99 166 115 123 66 142 157 64 93 270 96 40 92 113
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 118 89 183 85 105 108 76 98 163 174 17 192 80 277 98 98 105 139 50 151 97 63 98 108 84
Character c h a n g e i n o n e q u a n t i t y i f
Milliseconds 127 77 251 111 115 111 95 107 122 52 133 109 64 102 381 140 160 42 185 19 673 87 165 99 141
Character - -f s r e l a t e d t o a c h a n g e
Milliseconds 63 526 132 83 113 142 57 104 113 113 77 147 90 127 46 105 52 122 160 82 104 81 65 97 82
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 101 85 32 243 87 81 88 69 65 91 57 49 385 117 118 77 128 53 220 69 74 85 71 84 44
Character s p e e d o f a f a l l i n g o j b e -e -b
Milliseconds 244 138 145 147 140 140 54 161 72 84 105 274 359 175 134 76 102 37 89 331 230 216 175 224 153
Character -j b j e c t c h a n g e a s a f u n c t i
Milliseconds 134 244 138 110 157 112 13 169 145 87 105 53 94 102 98 120 130 106 100 144 88 139 284 184 40
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 103 44 50 161 109 48 150 72 78 61 218 103 242 119 120 72 133 140 100 63 49 100 79 75 41
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 303 157 170 79 116 64 134 104 85 244 149 157 149 60 65 231 151 125 200 114 148 163 199 155 100
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 125 69 311 81 29 163 36 92 110 397 87 100 97 56 243 84 156 79 115 40 100 0 126 113 83
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 102 148 72 145 34 175 119 121 70 154 47 79 79 115 113 86 77 225 89 53 144 97 771 220 94
Character r e d i n t o i t ? W e s e e c h a n g
Milliseconds 116 148 164 99 108 58 141 73 164 470 97 424 135 203 191 119 92 147 153 86 152 168 119 52 107
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 95 107 348 151 147 102 74 480 226 148 63 85 149 142 40 477 225 0 121 148 118 106 232 156 95
Character r y t h i n g w e o b s e r v e i n t h e
Milliseconds 78 41 198 101 159 128 68 119 186 83 127 230 262 450 201 87 165 109 126 33 92 57 52 120 66
Character w o r l d a n d u n i v e r s e , a n d
Milliseconds 53 154 25 208 97 152 82 100 82 116 56 163 218 51 186 213 56 231 55 80 93 148 83 62 90
Character p o w e r f u l m o d e r n i n s t a r u m -m
Milliseconds 130 118 121 88 106 157 42 96 113 287 99 200 195 80 70 57 163 80 171 122 139 27 123 171 259
Character -u -r -a r u e m t n s -s -n -t -m -e m e n t s h e l p
Milliseconds 156 111 172 160 98 113 89 160 21 109 245 150 149 140 135 179 88 134 113 135 130 409 110 70 133
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 136 116 79 97 189 166 138 87 135 67 51 46 61 157 67 136 103 151 41 81 45 136 65 217 147
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 137 116 71 75 41 88 326 145 178 119 30 74 47 84 153 80 128 99 95 210 173 86 176 117 102
Character e t h - e i d e a s o f a v e r a g e
Milliseconds 167 56 122 39 205 421 99 100 260 126 167 63 135 165 189 389 188 155 169 166 43 154 144 86 95
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 164 50 124 33 175 103 58 150 118 157 485 82 477 147 306 37 192 141 276 50 128 70 40 128 103
Character f c h a n g e , a n d h o -o -h s h o w t h
Milliseconds 91 110 180 118 35 137 0 67 96 42 104 72 55 113 165 110 263 216 151 87 34 70 86 149 61
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 65 165 102 472 88 115 71 70 131 80 59 91 359 64 153 35 57 135 119 76 248 58 166 145 104
Character e d t o t - -t t h e s l o p e o f a
Milliseconds 53 165 89 119 61 145 24 523 110 152 62 86 80 80 122 149 191 181 110 48 120 107 148 369 376
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 269 329 106 188 113 125 107 135 82 124 126 224 133 54 127 52 99 252 122 198 109 96 111 121 103
Character c u r v e . W e g i v e p r e c i s e d
Milliseconds 24 182 94 84 204 71 79 90 379 180 139 155 144 182 60 82 144 196 74 263 104 134 46 86 345
Character e v e l o p m e n t s o f t h e s e i m p o
Milliseconds 647 247 150 37 182 149 156 235 112 60 44 107 118 115 90 105 56 119 144 73 70 206 391 198 59
Character r t a n t c o n c e p t s i n - -n -i -s - s
Milliseconds 70 156 171 178 180 135 333 340 91 199 167 87 100 94 0 184 128 21 249 161 147 122 142 122 132
Character i n t h e n e x t c h a p e r , - -, -r -e t
Milliseconds 98 71 116 0 147 73 66 125 56 211 52 83 232 142 132 48 235 61 87 80 406 166 156 135 59
Character e r , b u t f o r n o w u -u w e u s e
Milliseconds 132 47 26 69 143 84 106 57 190 82 99 36 167 62 109 133 483 300 75 104 125 169 61 57 87
Character a n i n f o r m a l a p p o r a -a -r -o r o a c
Milliseconds 218 125 169 72 142 256 134 96 163 117 126 104 311 204 154 52 129 183 270 147 135 53 152 143 139
Character h s o w -w y o u w i l l s e h o w - -w
Milliseconds 71 93 183 65 113 260 358 166 83 81 94 148 65 178 156 132 96 56 118 174 90 76 95 320 155
Character -o -h - e h o w t h e y l e a d n a t u r a
Milliseconds 131 142 122 302 607 219 78 457 178 140 52 148 79 69 245 58 45 143 118 206 110 116 98 96 51
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 82 162 70 95 143 61 98 166 124 135 43 139 85 227 52 127 277 103 162 78 144 88 140 102 137
Character h i s c a p -p -a h a p t e r , t h e l i m i
Milliseconds 121 77 58 125 205 101 188 521 365 180 110 112 81 135 52 63 81 136 45 102 37 94 85 184 72
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 54 149 79 225 178 67 123 207 159 181 54 149 63 121 80 96 157 293 81 174 128 33 230 188 210
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 100 129 112 59 170 55 199 78 30 154 48 195 128 61 80 44 116 160 102 254 84 161 90 58 286
Character r o u g h -h -g -u -o h -h -r h r o u g h o u t a -a c
Milliseconds 178 31 51 147 53 313 168 143 143 167 338 135 159 145 80 38 101 85 337 46 72 87 193 394 95
Character l a -a -l a l c u l u s .
Milliseconds 110 0 533 162 253 188 147 80 205 44 280 304
WPM Timing
Seconds WPM
2.59 74.05
5.19 87.93
7.78 94.1
10.37 85.62
12.96 87.93
15.56 92.56
18.15 91.24
20.74 85.62
23.34 87.93
25.93 89.32
28.52 89.19
31.12 89.47
33.71 91.85
36.3 90.57
38.89 89.16
41.49 88.22
44.08 88.2
46.67 88.19
49.27 88.9
51.86 89.09
54.45 85.29
57.05 85.2
59.64 86.52
62.23 86.97
64.82 85.89
67.42 85.79
70.01 86.22
72.6 85.78
75.2 86.49
77.79 86.08
80.38 85.39
82.98 85.76
85.57 85.69
88.16 85.07
90.75 85.02
93.35 83.69
95.94 83.55
98.53 83.42
101.13 83.42
103.72 82.72
106.31 82.06
108.9 80.77
111.5 81.36
114.09 81.83
116.68 81.35
119.28 81.69
121.87 81.92
124.46 81.47
127.06 80.75
129.65 79.97