albertchris (albertchris)

Race #303

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Official speed 72.02 wpm (143.96 seconds elapsed during race)
Without ending ping 72.11 wpm (185 ms delay sending score to TypeRacer’s server)
Timerless 72.53 wpm (818 ms elapsed before first character typed; 142.96 seconds elapsed during race)
Timerless minus one 72.44 wpm, ignoring the first character typed
Race Start January 11, 2024 3:16:52am UTC
Race Finish January 11, 2024 3:19:16am UTC
Outcome No win (3 of 5)
Opponents 4. mcqueen321 (70.37 wpm)
Accuracy 96.8%
Points 194.45
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 Calculiuus is a tool tahthat thhelops ps us understand how a change in one quantity is reallated to a change in another. How does the speed of a lfalling obheject change as a function of tiemme? How does the level of water ina ab barrel change as a function of the amount of liquid pooured into Iit? We see cahnhange occuringring in nearly evertyything we observe in the world and universe, and powerful modern instruments help us see more and more. In this sectin on we introduce the idedeas of averttaage and instantanoeour s reates of change, and show that they are closely related to the slope of a curve at a point P on the cureve. We give preciese developments of these important concepts in the next chapte,r, but for now we use an informal approach so you will see how they lead naturally to the main idea of thies chapter, the limit. The idea of a limit plays a foundtaational role thorroughout calculus/;.
Timing
Character C a l c u l i u -u -i u s i s a t o o l t a
Milliseconds 818 250 115 211 121 171 132 497 266 188 216 153 43 149 107 188 193 120 122 88 183 178 98 103 127
Character h t -t -h -a h a t t h -h -t h e l o p s - -s -p -o p
Milliseconds 76 163 254 316 160 221 109 92 109 180 164 348 464 250 137 81 204 0 110 83 311 187 182 149 500
Character s u s u n d e r s t a n d h o w a c h a
Milliseconds 86 50 116 163 127 101 184 68 251 89 231 160 146 168 113 131 195 112 79 81 159 99 145 90 150
Character n g e i n o n e q u a n t i t y i s r e
Milliseconds 45 141 77 56 103 151 52 109 115 95 70 308 104 170 115 113 141 160 158 359 139 117 132 181 99
Character a l -l -a l a t e d t o a c h a n g e i n
Milliseconds 129 82 345 158 171 44 139 105 176 57 179 87 107 80 117 131 97 109 83 88 124 63 87 129 94
Character a n o t h e r . H o w d o e s t h e s p e
Milliseconds 76 121 100 75 115 85 143 71 110 150 140 126 87 115 101 105 155 95 132 85 75 133 246 153 119
Character e d o f a l -l f a l l i n g o b h -h e -e j
Milliseconds 180 156 99 65 121 98 176 43 289 470 81 128 91 159 119 112 95 36 110 172 127 414 299 299 208
Character e c t c h a n g e a s a f u n c t i o n
Milliseconds 121 199 219 103 149 136 45 183 92 97 99 156 155 11 193 148 148 134 181 71 225 34 118 79 115
Character o f t i e m -m -e m e ? H o w d o e s t h e
Milliseconds 108 112 84 129 90 190 106 287 122 193 99 314 145 175 282 137 106 122 100 105 142 105 120 87 83
Character l e v e l o f w a t e r i n a - -a a b
Milliseconds 92 78 103 203 95 186 171 129 77 140 127 155 180 201 101 103 88 164 158 50 481 146 101 87 201
Character - -b b a r r e l c h a n g e a s a f u
Milliseconds 19 442 163 113 142 119 241 202 74 114 85 157 118 89 161 118 99 99 171 157 85 139 146 151 101
Character n c t i o n o f t h e a m o u n t o f l
Milliseconds 178 92 219 67 107 93 138 109 140 68 194 78 29 130 130 87 107 377 269 116 116 118 131 73 148
Character i q u i d p o o -o u r e d i n t o I -I i t ?
Milliseconds 92 265 147 192 317 112 168 182 101 444 206 141 316 181 110 126 145 140 76 106 230 455 216 91 347
Character W e s e e c a h n -n -h -a h a n g e o c c u
Milliseconds 226 197 372 136 165 184 170 98 111 127 10 216 237 323 128 184 102 123 235 120 137 108 182 180 71
Character r i n g -g -n -i r i n g i n n e a r l y e v e
Milliseconds 171 73 133 103 263 175 140 116 110 143 86 109 88 149 108 140 67 134 165 49 184 91 95 299 67
Character r t y -y -t y t h i n g w e o b s e r v e i n
Milliseconds 142 198 129 283 159 258 143 78 64 157 69 127 168 75 165 207 190 373 122 315 205 159 79 56 143
Character t h e w o r l d a n d u n i v e r s e ,
Milliseconds 106 142 117 53 197 114 116 109 119 108 96 98 83 125 13 766 172 120 144 144 129 155 157 129 198
Character a n d p o w e r f u l m o d e r n i n s t r
Milliseconds 324 87 120 113 104 102 160 135 129 273 81 161 116 145 109 197 220 133 113 115 46 165 338 273 212
Character u m e n t s h e l p u s s e e m o r e a
Milliseconds 90 184 50 128 81 168 127 122 168 47 223 103 108 97 150 492 116 144 104 115 88 76 77 72 190
Character n d m o r e . I n t h i s s e c t i n -
Milliseconds 86 220 124 171 123 99 84 124 115 164 253 208 204 130 114 120 98 132 142 213 206 45 181 116 340
Character -n o n w e i n t r o d u c e t h e i d -d e
Milliseconds 170 204 123 128 92 101 101 111 135 153 228 106 112 156 174 211 108 133 116 117 136 77 135 303 157
Character -e d e a s o f a v e r t t -t a -a -t a g e a n
Milliseconds 368 117 164 166 172 121 92 96 94 149 185 145 103 179 75 267 110 229 215 138 95 166 78 144 88
Character d i n s t a n t a n o -o e o u r - -r s r e -e
Milliseconds 96 87 146 179 92 204 168 191 176 219 137 392 310 165 61 166 429 144 268 162 64 93 231 84 386
Character a t e s o f c h a n g e , a n d s h o w
Milliseconds 122 123 137 194 118 70 107 90 163 129 176 218 159 107 123 127 87 107 95 99 173 94 84 75 111
Character t h a t t h e y a r e c l o s e l y r e l
Milliseconds 118 98 125 107 92 215 109 89 138 129 113 133 103 105 155 81 171 37 177 124 193 100 143 93 161
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 140 148 261 180 92 94 83 105 88 162 68 115 135 122 177 139 149 55 154 113 79 137 136 85 194
Character r v e a t a p o i n t P o n t h e c
Milliseconds 292 294 142 111 141 143 67 237 156 164 75 94 99 143 131 223 158 103 152 80 141 128 11 158 95
Character u r e -e v e . W e g i v e p r e c i e -e s e
Milliseconds 195 89 175 306 107 97 117 132 339 217 119 200 181 183 122 85 132 133 100 226 127 182 254 73 115
Character d e v e l o p m e n t s o f t h e s e i m
Milliseconds 112 137 179 226 54 104 180 52 296 296 102 94 162 108 84 61 108 90 120 49 120 167 92 117 162
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 206 89 123 192 121 119 90 96 141 90 145 112 182 376 236 170 116 379 157 185 148 106 35 297 180
Character e x t c h a p t e , -, r , b u t f o r n o
Milliseconds 141 204 206 140 191 188 140 104 286 102 246 310 104 117 106 115 93 118 94 153 88 109 157 151 81
Character w w e u s e a n i n f o r m a l a p p r
Milliseconds 76 77 233 125 133 152 125 118 71 219 87 134 151 172 182 143 106 103 115 94 85 143 120 146 119
Character o a c h s o y o u w i l l s e e h o w
Milliseconds 101 474 190 237 129 329 35 109 206 128 74 76 85 71 187 132 96 73 92 169 124 141 88 94 100
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 200 108 54 184 105 110 76 114 162 102 146 73 131 153 147 114 141 145 166 123 230 117 116 126 134
Character e m a i n i d e a o f t h i e -e s c h a
Milliseconds 73 69 175 77 81 125 100 114 103 187 179 122 128 128 100 90 123 377 181 290 206 86 187 205 149
Character p t e r , t h e l i m i t . T h e i d e a
Milliseconds 95 123 129 247 237 171 218 197 96 95 264 189 177 124 80 146 127 165 196 86 141 76 146 236 142
Character o f a l i m i t p l a y s a f o u n d
Milliseconds 116 146 95 130 97 139 93 133 165 129 96 93 109 174 121 130 175 67 170 130 145 173 91 181 136
Character t a -a -t a t i o n a l r o l e t h o r -r -o r o
Milliseconds 262 102 399 141 81 132 73 89 125 181 88 106 141 107 155 77 98 106 125 196 0 373 146 83 132
Character u g h o u t c a l c u l u s / -/ ; -; .
Milliseconds 96 422 129 265 174 124 99 214 62 102 170 148 158 155 87 165 786 290 895 121
WPM Timing
Seconds WPM
2.88 25.01
5.76 41.68
8.64 37.51
11.52 42.72
14.4 54.18
17.28 55.57
20.15 63.71
23.03 67.73
25.91 65.76
28.79 67.1
31.67 67.06
34.55 69.46
37.43 67.01
40.31 68.77
43.19 70.3
46.07 69.29
48.95 68.4
51.83 67.15
54.7 67.12
57.58 67.1
60.46 67.48
63.34 68.01
66.22 68.5
69.1 69.12
71.98 69.85
74.86 69.41
77.74 70.08
80.62 69.36
83.5 69.13
86.38 67.94
89.26 68.43
92.13 69.42
95.01 70.1
97.89 70.36
100.77 70.73
103.65 70.62
106.53 71.08
109.41 71.29
112.29 71.28
115.17 71.48
118.05 71.97
120.93 72.14
123.81 72.79
126.68 73.32
129.56 72.89
132.44 73.03
135.32 73.51
138.2 73.46
141.08 73.06
143.96 72.02