Jon (firesforsale)

Race #106

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Official speed 66.59 wpm (155.70 seconds elapsed during race)
Without ending ping 66.72 wpm (298 ms delay sending score to TypeRacer’s server)
Timerless 66.94 wpm (526 ms elapsed before first character typed; 154.88 seconds elapsed during race)
Timerless minus one 66.87 wpm, ignoring the first character typed
Race Start October 15, 2023 8:28:47pm UTC
Race Finish October 15, 2023 8:31:23pm UTC
Outcome No win (3 of 5)
Opponents 2. candlelearner (68.12 wpm)
4. bbstarfish (63.87 wpm)
Accuracy 96.1%
Points 179.81
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 Calculauus is a tool that helps us understand how a change in one quatitnittity is realalated to ca change in another. How does the speed of a falling object change as a funcittiction of time? How does the level of water in a vabarrel hancchange as a function of the amount of liquid poured into it? We wsee change occuring ring in nearly eveyrrythig weng we observe in the world and universe ,, and powerful modern instruments hekp lp us mesee more and more. In this ecsecittion we introducte the idesaas of eaverage and instantaneous rates of change, and hshow that they are closely related to the slope of a curve at a poinat t pP poon the curver. . We give perrecise developments of thseese important concepts in the next chanpter, but for now e we use an informal appraooach so you will see how they leasd naturally to the main idead of of this chapter, the ilinimit. tThe idead of of a limit pplalays a foundational role throughout aclaalculaus.
Timing
Character C a l c u l a u -u -a u s i s a t o o l t h
Milliseconds 526 147 141 167 448 204 138 206 225 154 164 92 103 305 173 123 54 130 233 121 156 153 71 109 108
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 70 130 83 97 101 190 241 112 79 114 119 110 127 170 66 189 70 131 124 84 138 90 89 122 86
Character w a c h a n g e i n o n e q u a t i t -t
Milliseconds 89 74 123 93 14 174 92 104 132 180 76 118 111 105 171 108 80 84 201 105 145 229 142 138 282
Character -i -t n i t -t -i t i t y i s r e a l a -a -l -a l a
Milliseconds 168 136 229 138 162 456 163 150 295 150 164 201 98 80 98 115 122 70 64 149 311 171 146 209 64
Character t e d t o c -c a c h a n g e i n a n o t
Milliseconds 71 171 194 109 134 92 99 91 380 77 68 265 122 91 104 106 168 53 52 107 97 55 130 48 104
Character h e r . H o w d o e s t h e s p e e d o
Milliseconds 112 136 86 73 144 195 89 101 78 152 85 82 78 56 97 108 78 69 200 150 92 159 175 87 51
Character f a f a l l i n g o b j e c t c h a n g e
Milliseconds 187 115 145 498 148 125 113 136 170 106 53 62 228 164 480 148 209 205 75 211 177 153 83 114 350
Character a s a f u n c i t -t -i -c t i -i -t c t i o n
Milliseconds 246 147 225 129 119 447 177 95 181 72 207 48 493 158 114 91 122 323 162 156 188 71 114 63 86
Character o f t i m e ? H o w d o e s t h e l e v
Milliseconds 122 74 92 112 99 69 166 554 236 256 114 152 127 155 114 58 77 42 140 116 52 76 105 56 168
Character e l o f w a t e r i n a v a -a -v b a r r
Milliseconds 156 125 100 151 98 82 170 113 131 135 95 32 149 106 85 129 137 427 253 227 143 84 78 151 189
Character e l h a n -n -a c -c -h c h a n g e a s a f u
Milliseconds 95 201 180 253 10 232 230 166 170 410 164 170 156 25 214 138 169 93 102 154 120 136 142 175 113
Character n c t i o n o f t h e a m o u n t o f l
Milliseconds 165 68 209 36 104 82 92 152 97 97 201 115 80 60 91 130 115 148 188 98 85 123 129 110 117
Character i q u i d p o u r e d i n t o i t ? W e
Milliseconds 195 405 170 113 141 129 328 144 156 146 336 206 118 117 108 118 114 128 123 104 273 150 252 202 87
Character w -w s e e c h a n g e o c c u r i n g - -g -n
Milliseconds 278 422 82 85 144 111 119 121 66 119 219 220 119 228 219 182 119 126 134 91 129 79 301 166 136
Character -i r i n g i n n e a r l y e v e y r -r -y r y
Milliseconds 145 179 257 94 132 93 122 137 147 161 57 88 88 162 213 111 75 145 180 182 193 308 160 111 128
Character t h i g w e -e -w - -g n g w e o b s e r v e
Milliseconds 200 95 64 222 57 132 77 254 184 167 116 228 95 84 142 142 289 152 137 294 138 160 270 156 70
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 115 103 102 94 119 106 100 102 140 180 168 165 146 128 152 52 74 130 171 113 181 274 237 158 111
Character , -, - , a n d p o w e r f u l m o d e r n
Milliseconds 286 101 316 137 207 85 71 214 167 112 149 140 131 43 156 192 92 199 142 98 119 179 164 65 173
Character i n s t r u m e n t s h e k p - -p -k l p u
Milliseconds 157 139 168 129 241 177 653 220 203 127 168 124 111 190 291 143 204 137 241 152 159 271 205 237 230
Character s m e -e -m s e e m o r e a n d m o r e .
Milliseconds 86 122 76 127 188 174 89 100 153 118 95 109 73 69 58 52 122 69 64 106 105 58 76 208 131
Character I n t h i s e c -c -e s e c i t -t -i t i o n w
Milliseconds 201 126 72 151 45 71 105 57 89 229 370 174 185 53 226 279 236 215 164 121 101 80 16 219 113
Character e i n t r o d u c t -t e t h e i d e s a -a -s
Milliseconds 135 138 103 131 97 149 136 366 109 113 250 529 85 96 130 82 108 108 233 47 203 78 128 258 185
Character a s o f e -e a v e r a g e a n d i n s t a
Milliseconds 118 154 214 203 192 150 149 301 78 87 184 97 140 99 160 92 512 121 89 90 126 130 112 179 39
Character n t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 223 176 167 148 312 249 164 142 157 336 185 127 120 104 68 118 74 88 128 150 105 120 140 198 248
Character a n d h -h s h o w t h a t t h e y a r e
Milliseconds 138 91 135 73 102 115 393 98 103 99 105 52 114 123 16 116 149 168 125 111 117 121 124 83 101
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 130 266 128 149 62 129 284 238 88 178 85 95 106 95 148 188 115 86 110 79 104 136 70 55 140
Character l o p e o f a c u r v e a t a p o i n
Milliseconds 90 154 179 328 168 220 95 88 57 147 196 104 119 214 173 94 99 131 120 137 125 119 106 164 119
Character a t - -t -a t p -p P p o -o -p o n t h e c u
Milliseconds 112 109 79 286 169 140 57 93 190 334 266 179 331 150 319 139 168 85 130 113 86 91 88 97 108
Character r v e r . - -. -r . W e g i v e p e r -r -e r
Milliseconds 122 206 209 106 164 82 323 187 112 281 104 171 197 75 150 146 114 194 118 116 149 102 469 157 50
Character e c i s e d e v e l o p m e n t s o f t h s
Milliseconds 67 310 144 127 180 341 370 185 746 236 261 312 167 506 126 111 80 84 115 88 124 88 183 77 181
Character e -e -s e s e i m p o r t a n t c o n c e p t s
Milliseconds 120 378 141 65 76 178 130 158 181 169 128 188 156 125 155 98 349 233 142 99 287 111 187 168 126
Character i n t h e n e x t c h a n -n p t e r , b
Milliseconds 130 150 138 57 112 118 87 95 129 70 583 248 105 180 115 106 277 373 215 169 134 95 212 146 354
Character u t f o r n o w e - -e w e u s e a n
Milliseconds 82 350 94 171 155 114 84 114 126 18 78 124 157 352 164 113 124 82 233 90 65 129 148 160 139
Character i n f o r m a l a p p r a o -o -a o a c h s o
Milliseconds 129 140 156 132 114 99 85 134 143 107 138 128 202 440 136 296 378 252 105 164 235 112 198 66 80
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 117 105 62 89 63 125 191 136 117 167 138 158 102 143 88 112 72 103 82 90 122 98 109 82 45
Character s -s d n a t u r a l l y t o t h e m a i n
Milliseconds 321 418 90 86 134 89 117 139 113 130 117 157 181 78 138 64 125 78 77 103 80 46 132 97 115
Character i d e a d o f - -f -o - -d o f t h i s c
Milliseconds 66 229 184 182 67 172 74 79 97 111 237 171 161 150 142 125 143 72 101 130 89 100 55 107 135
Character h a p t e r , t h e i -i l i n i -i -n m i t .
Milliseconds 122 125 117 125 126 109 147 110 147 135 60 50 99 295 232 152 145 257 261 154 244 142 216 48 503
Character t -t T h e i d e a d o f -f -o - -d o f a l
Milliseconds 190 389 132 99 100 57 120 101 182 77 152 78 107 87 280 163 170 138 86 173 75 89 56 105 107
Character i m i t p p l a -a -l -p l a y s a f o u n d a
Milliseconds 175 140 156 106 117 242 175 67 163 265 167 153 198 99 152 128 108 107 138 101 115 105 164 105 179
Character t i o n a l r o l e t h r o u g h o u t a -a
Milliseconds 112 153 110 71 113 139 124 139 132 176 85 103 130 135 137 161 129 133 135 152 136 96 93 322 317
Character c l a -a -l a l c u l a -a u s .
Milliseconds 111 131 90 514 143 81 200 287 338 343 208 366 178 92 159
WPM Timing
Seconds WPM
3.11 38.54
6.23 67.44
9.34 82.21
12.46 67.44
15.57 67.05
18.68 71.93
21.8 74.32
24.91 73.7
28.03 69.36
31.14 69.36
34.25 72.87
37.37 69.69
40.48 69.66
43.6 71.02
46.71 71.42
49.82 70.81
52.94 69.82
56.05 68.51
59.17 68.35
62.28 69.17
65.39 68.81
68.51 68.66
71.62 67.19
74.74 68.72
77.85 67.82
80.96 67.59
84.08 67.08
87.19 67.16
90.31 67.64
93.42 68.59
96.53 69.24
99.65 69.48
102.76 68.66
105.88 68.12
108.99 67.49
112.1 67.33
115.22 66.97
118.33 67.13
121.45 66.89
124.56 67.15
127.67 66.73
130.79 67.53
133.9 67.93
137.02 67.7
140.13 67.91
143.24 67.52
146.36 67.15
149.47 67.36
152.59 67.32
155.7 66.59