bbdbd (bbdbendan)

Race #28

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Official speed 62.93 wpm (164.75 seconds elapsed during race)
Without ending ping 62.83 wpm (-252 ms delay sending score to TypeRacer’s server)
Timerless 63.04 wpm (544 ms elapsed before first character typed; 164.46 seconds elapsed during race)
Timerless minus one 62.97 wpm, ignoring the first character typed
Race Start October 5, 2023 1:24:09pm UTC
Race Finish October 5, 2023 1:26:54pm UTC
Outcome No win (3 of 5)
Opponents 1. mette1337 (90.67 wpm)
Accuracy 95.6%
Points 169.92
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 Calcaulus is a tool that helps us understand how a change in on e que quantity is related to ca change in another.. HO How does the speed of a falling object change as a chanfucntnction of time? Hopw w does the level of water in a barrel change as a cfucnnction of theamount amount of liquid poruured into it? W ee see change poccurring in nearly everything we observe in the wortld rld anduniver universe, and powerfulmodern modern instruments helop lo uypyusu us see more and more. In this sectin we ion we introoduecdduce the ideas of average and instatnntaenneou s rates of change, and show that they are closely rellatedated to the slope of a scure at ve at apoint= point P on the urvecurve. We give precise developments of these importantcone ccoonceponcepts in the next chapter, but for now we use an informal paapprach oach s yuo o yu wioyou will see how they lead naturally to themain main idea f of this chapter, the limit. The idea of a limit plays a foundatin linal oonalnal role throughout caclculuucuuslysus.
Timing
Character C a l c a -a u l u s i s a t o o l t h a t
Milliseconds 544 135 44 119 154 296 179 192 87 95 78 223 121 82 125 76 207 29 193 114 92 90 49 70 93
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 65 126 69 99 152 73 118 83 97 50 166 94 65 82 127 112 105 81 153 45 122 62 49 65 92
Character a c h a n g e i n o n e q u -u -q - -e - e
Milliseconds 146 7 464 96 73 54 88 85 67 89 66 81 234 92 92 60 136 106 75 193 147 153 162 165 150
Character q u a n t i t y i s r e l a t e d t o c
Milliseconds 202 249 75 123 34 150 383 135 123 428 164 114 47 146 41 137 64 122 88 146 99 110 58 43 118
Character -c a c h a n g e i n a n o t h e r . . H O
Milliseconds 269 95 108 86 106 50 162 0 86 114 161 105 50 161 79 73 75 68 103 130 62 46 66 205 89
Character -O -H - -. H o w d o e s t h e s p e e d o
Milliseconds 272 135 179 170 83 234 166 62 255 142 102 55 117 51 131 47 100 58 235 73 131 133 134 82 95
Character f a f a l l i n g o b j e c t c h a n g e
Milliseconds 117 78 130 76 401 89 75 150 91 53 100 72 119 116 169 92 87 188 56 139 43 101 55 42 72
Character a s a c h a n -n -a -h -c f u c n t -t -n -c n c t
Milliseconds 90 105 124 125 129 144 135 103 118 75 216 138 151 173 102 76 116 73 158 149 166 141 154 86 159
Character i o n o f t i m e ? H o p w - -w -p w d o
Milliseconds 54 32 117 35 147 112 59 110 60 87 90 224 203 270 215 5 132 118 345 134 157 314 114 461 72
Character e s t h e l e v e l o f w a t e r i n
Milliseconds 64 123 68 122 58 89 97 85 94 153 110 74 45 167 121 75 106 66 131 136 101 86 72 97 56
Character a b a r r e l c h a n g e a s a c -c f u
Milliseconds 93 82 375 162 138 143 167 69 85 162 87 57 53 85 67 102 181 176 126 134 148 124 305 161 35
Character c n -n -c n c t i o n o f t h e a m o u n t -
Milliseconds 162 9 306 178 238 157 203 75 45 129 43 122 95 146 250 73 92 179 54 80 91 54 104 77 204
Character -t -n -u -o -m -a a m o u n t o f l i q u i d p
Milliseconds 149 166 140 170 166 203 210 255 118 64 92 77 67 117 130 92 78 148 65 115 102 100 124 116 234
Character o r u -u -r u r e d i n t o i t ? W e -e - e
Milliseconds 99 137 76 248 125 167 91 193 112 106 218 64 171 88 45 174 131 207 247 248 244 102 170 136 169
Character s e e c h a n g e p -p o c c u r r i n g i
Milliseconds 85 273 159 113 166 137 74 93 56 80 90 54 284 294 190 136 166 104 112 178 165 95 112 91 325
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 67 180 212 82 114 104 74 168 68 125 111 84 131 148 92 87 50 129 114 104 233 147 102 144 79
Character s e r v e i n t h e w o r t l d - -d -l -t -r
Milliseconds 113 131 70 156 161 52 101 66 44 106 78 63 130 75 139 113 27 81 134 128 203 149 155 151 174
Character r l d a n d u n i v e r -r -e -v -i -n -u u n i v e
Milliseconds 345 117 108 78 163 75 91 218 111 103 63 79 85 208 161 160 128 168 330 373 157 77 128 36 89
Character r s e , a n d p o w e r f u l m o d e r n -
Milliseconds 103 140 149 79 88 156 77 109 85 313 167 82 101 101 142 71 137 234 57 127 41 150 51 68 159
Character -n -r -e -d -o -m m o d e r n i n s t r u m e n t s
Milliseconds 158 157 159 201 139 161 253 260 76 179 65 138 88 44 115 117 96 127 179 100 115 121 102 33 125
Character h e l o p - -p -o -l l o u y -y -u - -o p y u s -s
Milliseconds 104 199 139 59 143 11 151 294 160 165 137 722 203 187 151 17 195 152 171 161 372 292 10 107 244
Character -u -y u -u u s s e e m o r e a n d m o r e
Milliseconds 131 180 657 429 164 159 160 128 298 189 128 86 103 45 95 73 29 204 9 108 87 102 69 46 75
Character . I n t h i s s e c t i n w e - -e -w - -n
Milliseconds 81 166 307 167 79 170 102 66 78 115 269 205 127 173 22 160 150 22 135 76 235 156 160 186 161
Character -i i o n w e i n t r o o d u e -e -u -d -o c d -d -c
Milliseconds 159 351 137 98 91 202 135 187 193 42 238 158 54 30 130 90 230 154 153 148 197 504 314 148 145
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 124 102 64 125 111 149 114 87 93 111 166 104 66 147 101 181 74 67 122 124 132 125 114 94 90
Character a n d i n s t a t n -n -t n t a e n -n -e n e o u
Milliseconds 104 54 135 45 126 100 116 95 118 89 125 101 382 152 217 160 113 640 85 166 132 156 66 103 90
Character - s r a t e s o f c h a n g e , a n d
Milliseconds 213 405 554 148 151 158 125 116 126 127 100 92 123 90 81 37 110 51 117 103 136 321 130 73 94
Character s h o w t h a t t h e y a r e c l o s e l
Milliseconds 73 92 80 63 94 75 105 158 171 181 99 53 158 58 55 91 110 106 66 138 102 148 23 176 53
Character y r e l l a t e d -d -e -t -a -l a t e d t o t h
Milliseconds 147 89 103 330 162 42 101 118 90 152 101 189 159 177 201 125 166 115 152 57 124 84 42 76 103
Character e s l o p e o f a s -s c u r e a t - -t
Milliseconds 81 91 99 107 202 55 171 73 188 59 58 102 113 130 265 100 89 91 283 65 103 136 129 140 158
Character -a - -e v e a t a p o i n t -t -n -i -o -p = - -=
Milliseconds 154 194 155 340 159 125 37 365 273 42 408 83 147 55 79 229 147 168 157 305 29 137 271 169 169
Character p o i n t P o n t h e u r v e -e -v -r -u c u
Milliseconds 406 89 116 16 127 131 184 181 205 45 28 127 76 92 79 165 78 196 90 199 162 136 187 190 54
Character r v e . W e g i v e p r e c i s e d e v e
Milliseconds 93 136 148 162 67 254 189 143 179 65 107 120 98 111 116 107 196 52 82 145 108 128 128 129 138
Character l o p m e n t s o f t h e s e i m p o r t a
Milliseconds 38 284 0 162 78 107 65 149 71 185 85 84 119 79 53 151 134 104 194 114 141 114 102 130 94
Character n t c o n e -e -n -o -c c c o o n c e p -p -e -c -n -o -o
Milliseconds 38 104 204 77 44 225 235 129 179 167 286 212 31 83 39 18 159 46 116 211 140 188 150 177 168
Character -c o n c e p t s i n t h e n e x t c h a p
Milliseconds 181 239 45 167 64 106 245 250 124 393 90 127 48 79 104 83 167 87 136 169 115 144 101 28 139
Character t e r , b u t f o r n o w w e u s e a
Milliseconds 68 137 126 97 101 351 65 96 96 160 76 91 88 110 89 93 92 167 149 105 133 101 124 116 144
Character n i n f o r m a l p a -a -p a p p r a c h - -h
Milliseconds 100 60 194 128 136 125 60 84 100 112 47 215 98 181 139 94 115 158 160 189 176 71 134 147 166
Character -c -a o a c h s y u o - -o -u -y - o y u w i
Milliseconds 161 158 448 105 195 97 134 413 239 112 248 9 93 175 140 164 161 158 416 167 215 293 90 167 69
Character -i -w - -u -y o -o y o u w i l l s e e h o w t
Milliseconds 203 158 152 163 201 316 245 172 193 16 128 145 91 191 114 89 93 167 131 104 112 99 64 80 200
Character h e y l e a d n a t u r a l l y t o t h e
Milliseconds 97 82 80 101 109 71 124 126 73 133 54 137 141 91 157 108 134 187 134 246 124 33 99 127 73
Character m a i n - -n -i -a -m m a i n i d e a f - -f
Milliseconds 241 98 112 99 54 193 168 164 162 218 109 562 161 77 128 86 169 145 78 69 129 267 89 393 181
Character o f t h i s c h a p t e r , t h e l i m i
Milliseconds 384 61 114 165 92 36 125 104 258 80 104 94 102 150 84 104 89 411 64 124 70 189 42 128 100
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 89 169 132 298 122 113 109 215 111 69 78 105 169 120 92 191 105 395 70 174 65 91 100 149 159
Character a y s a f o u n d a t i n l -l - -n -i i n a l
Milliseconds 74 108 108 55 206 190 431 56 61 24 63 151 112 118 109 223 7 231 168 182 179 752 226 113 169
Character - -l -a -n o o n a l -l -a -n -o n a l r o l e t h
Milliseconds 16 266 149 177 155 304 47 121 138 122 294 147 179 385 211 146 160 98 167 260 319 49 129 74 81
Character r o u g h o u t c a c l -l -c c u -u -c l u u -u -u c
Milliseconds 91 128 48 152 102 209 46 146 122 606 68 5 100 499 158 436 6 388 158 247 508 235 304 193 222
Character u u s -s -u l y s -s -y u s .
Milliseconds 164 489 134 349 157 782 613 351 256 161 583 188 285
WPM Timing
Seconds WPM
3.3 72.84
6.59 94.69
9.89 83.76
13.18 83.76
16.48 81.58
19.77 85.58
23.07 83.76
26.36 81.48
29.66 81.74
32.95 83.4
36.25 80.78
39.54 79.21
42.84 78.16
46.13 76.74
49.43 78.18
52.72 78.07
56.02 74.98
59.31 75.47
62.61 74.37
65.9 72.11
69.2 69.02
72.49 70.68
75.79 69.04
79.08 67.37
82.38 69.05
85.67 68.07
88.97 68.11
92.26 69.84
95.56 69.45
98.85 68.59
102.15 67.2
105.44 66.92
108.74 67.43
112.03 68.66
115.33 67.01
118.62 67.27
121.92 68.31
125.21 67.85
128.51 66.67
131.8 65.64
135.1 66.71
138.39 65.99
141.69 66.06
144.98 66.63
148.28 67.01
151.57 66.03
154.87 65.16
158.16 65.02
161.46 63.92
164.75 62.86