Wayne (minutebeans)

Race #165

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Official speed 62.57 wpm (165.70 seconds elapsed during race)
Without ending ping 62.68 wpm (284 ms delay sending score to TypeRacer’s server)
Timerless 62.82 wpm (363 ms elapsed before first character typed; 165.06 seconds elapsed during race)
Timerless minus one 62.74 wpm, ignoring the first character typed
Race Start November 29, 2023 3:38:23pm UTC
Race Finish November 29, 2023 3:41:08pm UTC
Outcome No win (3 of 3)
Accuracy 94.6%
Points 168.95
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 Clalalculus is a tool that helps us understand how a change ion n one quantity is related to a change in another,er/ . How does the speed of la falling object change as a function of time? hHow does the level of water pina a beaarrel change as a function of the amount of liuquid wpouired into it? We see change occuringring in nearly everytrghhhing we observe iun n the world and universe,. an pwod powerful modern indtstytrrruments help us see moirere and morree. IN n this section weiu intriooduce the ideas of averahege and instantaneous rraates of chgaanghange, and show that they a are closely related to the slop ofe of a curve at ta point P on tthe curve. We give perrecise developmenstts of tgehese importraant convepccepts in the next chapter, but for now we suse an infortmmal approuaceh so yopuy u will see how they leaf d naturally t o the main idea of thsiis chapter.,,, the mkllium,mmuit. The idea of ta limit plays a foundational role throughjhout calculus/.
Timing
Character C l a l -l -a -l a l c u l u s i s a t o o l
Milliseconds 363 195 90 150 216 129 115 51 134 87 189 182 265 152 82 119 73 112 134 109 196 175 127 139 156
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 170 138 54 78 149 410 199 63 94 133 102 160 130 91 239 100 83 74 119 207 114 113 131 84 122
Character h o w a c h a n g e i o n - -n -o n o n e
Milliseconds 180 133 92 67 110 60 118 110 72 99 149 50 106 128 0 43 169 205 123 110 157 174 119 72 130
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 96 470 184 179 132 181 192 185 129 162 118 94 70 206 62 145 142 154 72 103 130 105 109 133 144
Character c h a n g e i n a n o t h e r , -, -r e -e r /
Milliseconds 152 139 108 66 105 142 76 97 121 40 149 77 101 232 228 136 69 92 92 357 262 399 206 112 125
Character - -/ . H o w d o e s t h e s p e e d o
Milliseconds 237 241 107 115 229 174 135 211 134 177 90 89 165 75 185 136 57 100 98 107 103 123 39 173 186
Character f l -l a f a l l i n g o b j e c t c h a n
Milliseconds 213 124 229 189 60 209 168 114 119 95 153 52 149 149 117 114 184 93 180 117 183 148 105 77 148
Character g e a s a f u n c t i o n o f t i m e ?
Milliseconds 171 51 117 60 132 147 35 151 246 94 177 157 182 179 132 120 274 159 115 82 191 63 87 165 235
Character h -h H o w d o e s t h e l e v e l o f
Milliseconds 266 297 261 145 126 112 98 96 93 92 168 47 196 140 63 72 156 58 230 73 203 203 117 85 134
Character w a t e r p -p i n a - - -a a b e -e a -a a
Milliseconds 187 291 167 92 82 104 278 203 157 74 173 15 158 259 107 130 153 130 138 161 107 236 78 36 547
Character r r e l c h a n g e a s a f u n c t i o n
Milliseconds 160 142 176 108 156 148 111 84 112 154 80 101 59 262 155 50 162 177 104 80 153 106 176 111 124
Character o f t h e a m o u n t o f l i u -u q u i
Milliseconds 146 138 79 93 193 352 172 124 63 228 141 108 126 166 151 117 86 108 162 302 432 234 100 124 165
Character d w -w p o u i -i r e d i n t o i t ? W e
Milliseconds 389 537 143 379 113 163 286 0 280 203 353 116 113 94 46 151 97 140 155 386 240 327 346 265 253
Character s e e c h a n g e o c c u r i n g -g -n -i r i n
Milliseconds 130 174 132 78 157 122 47 114 163 52 116 415 127 134 159 153 113 88 174 263 124 120 163 117 74
Character g i n n e a r l y e v e r y t r g h -h -g h -h
Milliseconds 170 162 131 72 151 210 99 79 69 153 227 259 378 171 69 57 83 187 0 160 0 215 125 276 183
Character -r h i n g w e o b s e r v e i u n - -n -u n
Milliseconds 132 159 116 77 166 143 61 70 171 163 146 145 191 67 202 174 407 130 27 41 149 223 119 110 167
Character t h e w o r l d a n d u n i v e r s e , .
Milliseconds 135 160 116 75 67 124 33 142 115 359 244 92 104 59 111 120 87 118 208 96 64 196 182 119 0
Character -. a n p w o -o -w -p - d p o w e r f u l m o
Milliseconds 306 191 107 101 175 113 134 48 190 122 128 428 87 97 138 160 73 180 43 400 75 171 176 135 96
Character d e r n i n d t -t -d s t y t r -r -t r -r -y r u m e
Milliseconds 111 134 74 145 178 218 78 211 87 246 111 30 132 0 139 0 230 122 152 217 123 104 103 175 147
Character n t s h e l p u s s e e m o i r e -e -r -i r
Milliseconds 93 163 114 138 272 108 96 85 163 135 98 97 174 131 147 156 132 112 0 47 83 239 117 120 75
Character e a n d m o r r e -e -r e . I N - -N n t h
Milliseconds 63 106 113 87 96 60 132 91 99 159 164 123 121 102 115 280 861 66 230 254 118 331 165 178 136
Character i s s e c t i o n w e i u -u -i i n t r i o -o
Milliseconds 117 103 58 122 168 110 92 190 186 128 147 112 107 420 18 314 143 197 116 49 239 136 117 147 141
Character -i o d u c e t h e i d e a s o f a v e r a
Milliseconds 165 140 115 159 160 76 133 164 144 77 102 143 120 65 74 228 165 147 155 108 267 151 84 69 201
Character h e -e -h g e a n d i n s t a n t a n e o u s
Milliseconds 103 239 138 126 200 83 103 108 94 84 108 120 77 107 147 63 173 213 135 422 277 219 136 135 138
Character r r a -a -r a t e s o f c h g a -a -g -h a n -n -a g
Milliseconds 436 119 81 377 126 64 157 119 172 113 127 89 119 126 125 0 78 203 122 117 99 125 218 109 239
Character -g h a n g e , a n d s h o w t h a t t h e
Milliseconds 299 205 114 101 159 88 139 204 96 110 70 94 153 82 125 91 72 173 137 92 63 175 169 147 52
Character y a - -a a r e c l o s e l y r e l a t e d
Milliseconds 380 247 106 140 353 103 602 133 88 174 484 120 135 85 215 174 186 199 120 83 131 123 177 70 102
Character t o t h e s l o p o f -f -o - e o f a
Milliseconds 339 95 105 124 164 143 83 63 129 79 156 82 204 140 90 306 118 121 80 121 191 336 111 118 88
Character c u r v e a t t -t a p o i n t P o n t
Milliseconds 91 156 72 256 83 142 152 124 158 197 280 73 113 153 109 227 278 173 145 286 185 160 55 441 217
Character -t t h e c u r v e . W e g i v e p e r -r -e
Milliseconds 313 280 168 99 71 287 138 72 153 187 253 262 191 231 158 184 152 34 30 145 216 124 0 312 124
Character r e c i s e d e v e l o p m e n s t -t -s t s o
Milliseconds 39 79 197 122 320 203 88 148 113 218 138 313 269 211 188 106 190 153 167 252 129 256 123 85 154
Character f t g e -e -g h e s e i m p o r t r a -a -r a n t
Milliseconds 87 105 181 129 77 281 108 166 72 184 169 120 121 92 158 147 116 150 13 133 167 106 207 105 423
Character c o n v e p -p -e c -c -v c e p t s i n t h e
Milliseconds 129 222 56 104 259 122 131 259 124 148 318 112 68 88 126 435 113 124 151 47 213 183 153 86 58
Character n e x t c h a p t e r , b u t f o r n o w
Milliseconds 118 64 248 124 247 271 149 98 134 253 82 63 389 247 250 101 118 158 110 121 125 82 160 115 88
Character w e s -s u s e a n i n f o r t m -m -t m a l
Milliseconds 101 203 83 154 344 236 167 57 175 46 155 92 144 137 50 173 118 92 0 97 260 126 206 95 194
Character a p p r o u -u a c e -e h s o y o p u y - -y
Milliseconds 157 141 244 118 266 121 162 243 94 107 115 223 256 195 121 60 117 215 141 0 51 12 158 185 121
Character -u -p u w i l l s e e h o w t h e y l e a
Milliseconds 132 106 177 162 108 57 148 115 151 90 171 123 116 239 181 83 377 210 132 102 44 144 168 87 11
Character f - -f d n a t u r a l l y t - o t h e
Milliseconds 291 155 364 123 90 117 163 79 122 172 90 208 84 117 207 164 97 200 260 120 166 202 123 121 20
Character m a i n i d e a o f t h s -s i -i i s c h a
Milliseconds 168 88 78 52 155 169 106 117 33 192 187 96 88 191 135 192 247 388 752 306 252 111 131 130 81
Character p t e r . , -, , -, -. , t h e m -m k l -l -k l i u
Milliseconds 100 177 206 57 186 0 249 246 168 121 107 146 186 119 111 26 148 269 333 0 240 164 145 208 0
Character m -m -u , m -m -, m u -u i t . T h e i d e a o f
Milliseconds 154 165 118 385 0 318 118 157 165 442 182 143 379 197 356 184 105 71 137 142 95 18 272 137 80
Character t -t a l i m i t p l a y s a f o u n d a
Milliseconds 140 303 473 101 103 143 187 103 131 157 192 153 66 114 137 164 104 159 100 164 307 94 183 94 76
Character t i o n a l r o l e t h r o u g h j -j -h h o u
Milliseconds 151 196 138 191 347 128 205 153 99 142 139 112 369 142 82 50 89 170 710 0 336 165 569 179 91
Character t c a l c u l u s / -/ .
Milliseconds 181 178 132 186 104 183 143 183 248 105 163 645 174
WPM Timing
Seconds WPM
3.31 54.31
6.63 70.61
9.94 76.04
13.26 76.95
16.57 76.04
19.88 72.42
23.2 73.97
26.51 75.59
29.83 75.24
33.14 74.95
36.45 72.42
39.77 73.63
43.08 72.42
46.4 70.87
49.71 70.49
53.02 69.93
56.34 69.01
59.65 68.6
62.97 69.18
66.28 68.44
69.6 67.42
72.91 67.98
76.22 66.44
79.54 66.38
82.85 66.63
86.17 67.13
89.48 66.52
92.79 65.69
96.11 65.43
99.42 65.66
102.74 65.64
106.05 65.63
109.36 65.29
112.68 65.28
115.99 64.97
119.31 64.67
122.62 64.2
125.93 64.41
129.25 64.9
132.56 64.45
135.88 64.47
139.19 64.49
142.5 64.84
145.82 64.35
149.13 63.65
152.45 62.82
155.76 62.94
159.07 63.22
162.39 62.81
165.7 62.57