lewis Holm (sparky12312)

Race #19

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Official speed 74.14 wpm (139.84 seconds elapsed during race)
Without ending ping 74.21 wpm (125 ms delay sending score to TypeRacer’s server)
Timerless 74.22 wpm (25 ms elapsed before first character typed; 139.69 seconds elapsed during race)
Timerless minus one 74.13 wpm, ignoring the first character typed
Race Start September 1, 2023 5:35:54pm UTC
Race Finish September 1, 2023 5:38:14pm UTC
Outcome No win (3 of 5)
Opponents 1. dunkmasta (98.75 wpm)
Accuracy 96.4%
Points 200.17
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 undrerstand how a change in one quantity is relate to d to a change in another. How does the pespeed of a afalling iobject change as a function of time? Hwo ow does the level of water in a barrwl el change aa s a cfunction of the mamoutnt of liquid poured into it? We se e change occuring rring in nearly everything we boobserve in the world and universe, nand powerful modern instruments hlpelp us see more and more. In this section we introduce the ideas of taverage and instantaneous ratres of change, and show that they are closely related to the lsslope of a curgeve at a point P on the curve. We give precise developments of thsesese importana t concepts in the next chatpepter, but for now ewwe use an informal apporraooach so you will see how they lead naturally tot t hhe main idea of this chapter , the limit. The idea of a limit plays a foundational role thoruroughout claalcuallus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 25 262 132 288 670 160 305 92 105 126 71 108 162 172 185 81 185 151 82 108 85 71 65 49 144
Character e l p s u s u n d r -r e r s t a n d h o w
Milliseconds 169 98 168 82 114 173 239 110 202 52 136 210 464 50 97 106 152 102 120 75 84 112 103 99 55
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 107 80 123 67 101 78 125 106 64 151 56 59 264 62 113 85 265 106 184 132 355 135 417 139 341
Character i s r e l a t e t o - -o -t - d t o a c
Milliseconds 192 96 83 110 113 212 202 105 129 207 149 52 76 253 141 167 120 93 123 90 80 71 57 122 101
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 114 71 110 125 142 126 134 60 55 186 80 82 74 99 63 52 99 96 161 135 92 70 140 63 134
Character s t h e p e -e -p s p e e d o f a a -a f a
Milliseconds 74 87 105 85 77 90 102 185 308 149 98 136 94 94 388 110 143 84 78 90 70 529 451 194 71
Character l l i n g i -i o b j e c t c h a n g e a s
Milliseconds 91 152 130 87 74 77 166 399 219 137 197 94 130 204 124 220 102 21 149 82 107 131 93 109 106
Character a f u n c t i o n o f t i m e ? H w o -
Milliseconds 72 92 144 94 71 320 219 44 60 38 119 147 98 52 142 72 45 61 242 362 240 233 19 155 321
Character -o -w o w d o e s t h e l e v e l o f w a
Milliseconds 136 130 206 90 79 126 94 98 93 69 124 88 79 57 115 90 99 124 95 132 170 101 77 164 158
Character t e r i n a b a r r w l - -l -w e l c h a
Milliseconds 113 118 108 87 287 54 51 135 77 174 111 158 150 148 108 137 279 138 133 101 156 104 180 122 40
Character n g e a a - -a s a c -c f u n c t i o n o
Milliseconds 135 81 108 106 105 151 141 327 134 74 105 40 133 384 465 143 98 63 57 252 85 88 26 125 140
Character f t h e m -m a m o u t -t n t o f l i q u i
Milliseconds 96 70 199 60 124 0 154 338 66 131 68 151 106 396 215 103 61 124 97 55 149 127 196 242 194
Character d p o u r e d i n t o i t ? W e s e -
Milliseconds 131 145 300 322 84 160 199 106 93 118 49 105 114 71 189 121 192 277 186 201 111 103 143 213 474
Character e c h a n g e o c c u r i n g - -g -n r -r -i r
Milliseconds 59 138 181 78 60 121 33 148 110 240 127 165 164 111 136 56 62 101 542 155 164 194 203 137 90
Character i n g i n n e a r l y e v e r y t h i n g
Milliseconds 123 56 106 51 192 67 81 290 90 137 95 127 272 128 245 136 131 66 75 115 78 135 61 46 227
Character w e b o -o -b o b s e r v e i n t h e w o r
Milliseconds 161 122 96 582 220 240 135 197 137 260 147 136 272 154 128 139 90 47 140 111 59 85 116 32 182
Character l d a n d u n i v e r s e , n -n a n d p o
Milliseconds 92 112 125 156 102 133 49 143 63 305 253 172 56 115 153 244 44 273 395 97 127 86 82 97 129
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 174 89 150 240 95 134 110 161 169 117 177 71 102 71 109 55 230 187 163 209 187 214 111 86 134
Character h l p -p -l e l p u s s e e m o r e a n d
Milliseconds 135 281 217 185 311 139 80 130 175 139 262 211 60 230 156 154 45 158 122 5 71 128 95 431 106
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 72 151 93 57 88 130 90 166 195 102 77 147 319 96 73 170 136 126 206 55 39 63 67 108 132
Character i n t r o d u c e t h e i d e a s o f t
Milliseconds 125 166 70 487 209 134 204 134 113 127 105 201 73 82 89 161 102 164 100 130 146 188 75 96 114
Character -t a v e r a g e a n d i n s t a n t a n e o u
Milliseconds 443 264 307 204 63 116 188 126 85 200 110 123 97 111 40 270 186 345 146 165 455 118 279 303 109
Character s r a t r -r e s o f c h a n g e , a n d
Milliseconds 115 193 199 144 161 18 392 193 212 151 131 112 120 126 109 19 177 73 170 222 69 112 89 93 69
Character s h o w t h a t t h e y a r e c l o s e l
Milliseconds 133 72 77 105 73 168 110 35 79 64 119 57 105 78 68 52 103 94 62 232 89 176 65 175 108
Character y r e l a t e d t o t h e l s -s -l s l o p
Milliseconds 181 70 92 135 107 134 126 127 102 119 141 56 53 78 99 69 96 115 178 335 130 102 140 315 165
Character e o f a c u r g e -e -g v e a t a p o i
Milliseconds 271 108 117 93 85 110 282 181 122 130 258 174 286 137 94 104 93 471 170 106 37 113 87 123 208
Character n t P o n t h e c u r v e . W e g i v
Milliseconds 86 72 279 213 207 143 77 86 75 99 71 130 99 116 112 208 144 94 87 253 162 111 206 116 98
Character e p r e c i s e d e v e l o p m e n t s o f
Milliseconds 119 72 138 101 412 218 216 269 155 111 336 176 169 175 384 271 232 388 112 113 109 227 114 136 95
Character t h s e s -s -e -s e s e i m p o r t a n a - -a
Milliseconds 101 121 94 144 138 133 267 150 134 80 227 479 160 191 75 105 146 128 164 80 102 141 128 358 122
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 58 144 102 85 76 309 180 123 138 117 72 127 69 38 109 108 48 114 131 69 197 176 74 195 116
Character a t p e -e -p -t p t e r , b u t f o r n o w
Milliseconds 76 155 97 147 214 140 132 195 137 124 70 92 90 165 143 85 115 137 100 89 85 128 79 128 124
Character e w -w -e w e u s e a n i n f o r m a l a p
Milliseconds 183 211 238 137 50 70 122 145 105 119 145 100 106 82 134 63 459 273 371 142 80 98 103 400 85
Character p o r -r -o r a o -o -a o a c h s o y o u w i l
Milliseconds 160 174 529 9 203 253 178 156 364 136 202 102 118 108 97 134 120 77 225 102 33 68 128 98 132
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 154 55 94 129 171 12 158 61 81 94 167 87 72 107 61 202 65 106 138 132 175 93 192 215 437
Character a l l y t o t - - -t t h -h - h e m a i
Milliseconds 149 136 134 197 66 85 122 89 0 247 271 149 131 35 121 113 174 357 128 206 114 64 155 100 91
Character n i d e a o f t h i s c h a p t e r - ,
Milliseconds 46 94 187 141 182 31 147 173 85 112 107 96 304 101 103 188 101 53 148 147 130 87 73 322 255
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 48 103 91 70 76 165 152 90 144 99 128 111 289 159 111 93 273 150 174 55 155 180 78 118 49
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 90 216 154 88 158 115 94 133 178 114 133 124 107 83 90 186 117 74 55 101 181 231 121 32 81
Character a l r o l e t h o r u -u -r -o r o u g h o u t
Milliseconds 273 165 107 210 125 169 65 133 139 91 20 104 126 321 148 120 76 127 68 106 119 228 61 78 124
Character c l a -a -l a l c u a l -l -a l u s .
Milliseconds 198 136 181 343 107 54 181 144 119 155 46 365 126 209 146 88 130
WPM Timing
Seconds WPM
2.8 60.07
5.59 77.23
8.39 85.81
11.19 79.37
13.98 75.51
16.78 82.95
19.58 80.91
22.37 76.69
25.17 79.61
27.97 76.8
30.77 79.96
33.56 78.66
36.36 76.9
39.16 76.31
41.95 76.37
44.75 75.89
47.55 74.96
50.34 74.37
53.14 73.62
55.94 74.44
58.73 74.16
61.53 75.08
64.33 74.06
67.12 74.73
69.92 75.51
72.72 75.58
75.52 75.16
78.31 74.62
81.11 74.57
83.91 76.09
86.7 76.4
89.5 75.75
92.3 75.67
95.09 76.35
97.89 75.51
100.69 74.96
103.48 74.45
106.28 75.08
109.08 74.92
111.87 74.76
114.67 73.99
117.47 73.86
120.27 74.54
123.06 73.82
125.86 73.99
128.66 74.34
131.45 74.49
134.25 74.99
137.05 74.87
139.84 74.14