Raju (rajubuddharaju)

Race #531

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Official speed 75.78 wpm (136.82 seconds elapsed during race)
Without ending ping 75.94 wpm (284 ms delay sending score to TypeRacer’s server)
Timerless 76.21 wpm (479 ms elapsed before first character typed; 136.05 seconds elapsed during race)
Timerless minus one 76.12 wpm, ignoring the first character typed
Race Start October 11, 2023 8:56:03am UTC
Race Finish October 11, 2023 8:58:19am UTC
Outcome No win (2 of 3)
Opponents 1. lonesome13 (80.48 wpm)
Accuracy 95.8%
Points 204.60
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 understand ohow a change in one quantity is related to a change in another. hHow does the speed of a falling object change as a fuctnction of time? How does the level of water in a barrel change as fa fuctnction of the amount of liquid poured into it? We asseee cha chnagnge occuring ring in nearly everything we observe in the world and universe, and powerful moder inn sininstruments help us see more and more. In this section we introduce the ideas of average and instnantaneuoous rates of change,a and nshow that they are sclosely related to the slope of a curve at the a point P ont the curve. We give precise developments of these important concepts in the next chapter, but for now we suse use a infn fiinformal saapporaroach so you wllil ll se e e how they lead naturally to the main idea of this chapter, the limit. The idea of thea limit spallayes as a founcdational role thourroughtout clacalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 479 223 117 84 133 169 185 110 90 154 83 89 112 64 205 55 130 190 74 98 123 34 64 60 145
Character e l p s u s u n d e r s t a n d o -o h o w
Milliseconds 98 64 199 104 92 93 140 68 179 164 84 140 74 161 82 110 121 62 127 173 363 553 114 125 39
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 160 51 195 80 87 96 98 143 80 105 106 37 212 64 116 82 271 91 124 139 195 79 183 122 123
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 180 112 108 121 62 105 123 77 79 182 96 118 35 75 150 505 123 117 74 101 113 116 108 93 56
Character a n o t h e r . h -h H o w d o e s t h e
Milliseconds 72 76 86 71 108 84 81 53 115 85 252 267 176 116 223 113 130 68 80 121 93 138 96 79 76
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 108 89 88 138 151 148 139 105 85 197 63 121 78 104 241 177 51 72 87 161 150 161 66 190 181
Character c h a n g e a s a f u c t -t -c n c t i o n
Milliseconds 116 95 109 61 107 62 90 129 126 122 123 91 114 121 126 89 236 264 113 193 96 189 43 62 181
Character o f t i m e ? H o w d o e s t h e l e
Milliseconds 47 138 92 73 152 61 55 80 263 115 422 105 154 107 112 87 92 105 154 210 94 85 49 125 87
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 135 109 218 181 137 92 53 116 101 148 156 63 107 183 79 60 96 80 122 91 170 135 103 131 87
Character c h a n g e a s f -f a f u c t -t -c n c t i o
Milliseconds 232 142 56 141 91 100 207 58 138 101 214 295 88 98 222 130 72 208 275 141 268 82 162 123 84
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 160 35 131 90 83 466 81 73 87 89 92 84 116 173 72 97 99 102 84 60 247 240 106 84 274
Character p o u r e d i n t o i t ? W e a s -s -a s
Milliseconds 185 287 187 137 110 229 468 207 127 75 118 90 159 128 93 315 103 276 66 189 81 217 262 116 58
Character e e e c h a -a -h -c - -e c h n -n a g -g n g e o
Milliseconds 67 152 157 52 154 88 70 189 102 93 125 123 166 385 122 193 272 113 114 490 154 73 135 109 326
Character c c u r i n g - -g -n -i r i n g i n n e a r l
Milliseconds 165 139 102 103 78 67 71 91 224 115 92 116 176 76 46 89 98 89 56 103 133 76 107 117 247
Character y e v e r y t h i n g w e o b s e r v e i
Milliseconds 196 68 185 178 138 104 106 259 91 53 88 84 123 91 64 108 312 119 546 63 159 211 120 99 171
Character n t h e w o r l d a n d u n i v e r s e ,
Milliseconds 72 72 60 123 46 109 89 101 83 88 95 136 119 88 65 106 110 159 96 116 149 67 168 84 180
Character a n d p o w e r f u l m o d e r i n -n -i -
Milliseconds 76 143 88 56 70 140 86 97 61 62 291 83 186 98 164 107 102 154 132 236 131 61 290 86 295
Character n s i n -n -i -s i n s t r u m e n t s h e l p
Milliseconds 168 55 138 122 105 233 106 294 182 76 76 168 139 30 209 97 87 60 268 181 132 69 114 134 115
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 160 76 120 148 90 168 141 123 73 47 31 117 110 87 74 133 55 82 37 71 178 78 219 364 82
Character t h i s s e c t i o n w e i n t r o d u c e
Milliseconds 94 94 66 81 104 149 84 207 189 17 71 169 0 118 56 165 286 49 261 160 82 142 257 100 159
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 107 115 46 105 64 55 118 123 91 108 145 126 113 59 339 189 163 69 207 164 38 189 31 141 32
Character i n s t n -n a n t a n e u o -o -u o u s r a t e
Milliseconds 125 43 72 61 168 224 248 131 98 137 503 167 320 364 90 369 148 273 67 92 98 177 281 124 99
Character s o f c h a n g e , a - -a a n d n -n s h
Milliseconds 145 158 133 92 91 112 109 66 115 31 141 247 509 23 413 95 130 194 96 77 95 143 276 282 104
Character o w t h a t t h e y a r e s -s c l o s e l
Milliseconds 69 105 100 240 97 73 60 57 115 89 68 62 60 47 103 60 96 149 245 288 386 162 96 61 274
Character y r e l a t e d t o t h e s l o p e o f
Milliseconds 189 56 209 76 104 111 67 128 134 129 86 72 60 109 97 78 80 156 96 189 192 143 134 166 80
Character a c u r v e a t t h e - -e -h -t a p o i
Milliseconds 112 242 109 122 101 72 208 137 89 163 79 77 162 42 122 29 326 101 113 129 167 41 230 21 362
Character n t P o n t - -t t h e c u r v e . W e
Milliseconds 65 105 121 232 88 313 87 133 126 260 103 204 198 57 265 126 193 115 92 190 109 210 46 480 166
Character g i v e p r e c i s e d e v e l o p m e n t
Milliseconds 174 162 70 123 101 102 139 36 50 209 100 204 65 153 172 191 188 106 92 181 151 194 108 90 72
Character s o f t h e s e i m p o r t a n t c o n c
Milliseconds 216 143 111 101 61 109 38 131 133 51 75 148 162 270 78 138 227 73 133 37 171 207 163 106 116
Character e p t s i n t h e n e x t c h a p t e r ,
Milliseconds 140 117 116 170 145 97 79 76 46 118 59 89 102 54 203 183 72 153 117 55 194 201 145 46 208
Character b u t f o r n o w w e s u s e - -e -s -u
Milliseconds 58 134 92 71 66 163 68 98 44 89 78 26 111 119 124 120 122 76 94 67 103 197 102 95 123
Character -s u s e a i n f -f -n -i - n f i -i -f i n f o r
Milliseconds 124 342 126 36 77 122 92 148 83 60 232 109 400 151 209 93 200 112 245 110 207 40 103 93 83
Character m a l s a -a -s a p p o r a -a -r -o r o a c h s o
Milliseconds 14 317 125 93 151 126 272 94 100 124 162 162 66 170 229 106 144 192 124 107 186 180 77 256 86
Character y o u w l l -l -l i l l -l - l s e - -e e
Milliseconds 111 174 93 110 39 110 127 188 253 104 204 185 219 91 559 288 218 86 158 61 113 259 111 74 120
Character - e h o w t h e y l e a d n a t u r a l l
Milliseconds 360 95 197 165 67 62 82 303 71 101 63 42 150 14 91 108 113 174 34 161 128 73 122 106 190
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 271 37 171 44 91 117 65 108 49 163 132 70 49 86 327 98 161 96 121 137 110 52 110 56 34
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 116 58 172 130 55 116 136 181 71 234 71 264 109 104 188 167 180 77 134 118 200 126 325 137 45
Character i d e a o f t h e -e -h -t a l i m i t s -s
Milliseconds 48 147 72 154 85 168 156 143 13 197 40 202 227 104 118 153 45 241 124 133 175 105 116 157 345
Character p a l -l -a l a y e s a -a - -s -e s a f o u n c
Milliseconds 185 190 93 339 103 198 116 124 130 158 100 140 191 114 123 138 82 153 152 132 83 181 89 199 127
Character -c d a t i o n a l r o l e t h o u r -r -u -o r o
Milliseconds 360 115 86 126 54 77 160 79 56 85 243 96 160 94 133 147 68 126 93 91 290 100 155 129 112
Character u g h t -t o u t c l a c -c -a -l a l c u l u s .
Milliseconds 82 95 109 36 521 189 70 98 106 135 198 7 207 235 97 114 160 137 124 415 160 195 204 166
WPM Timing
Seconds WPM
2.74 78.94
5.47 96.48
8.21 87.71
10.95 89.9
13.68 93.85
16.42 92.09
19.15 92.72
21.89 91
24.63 91.12
27.36 92.97
30.1 91.3
32.84 89.17
35.57 89.06
38.31 87.71
41.05 83.32
43.78 81.4
46.52 80.74
49.25 80.64
51.99 82.4
54.73 83.1
57.46 80.61
60.2 81.53
62.94 82.56
65.67 83.14
68.41 83.85
71.14 81.64
73.88 81.86
76.62 80.5
79.35 80.6
82.09 81.28
84.83 80.78
87.56 79.9
90.3 79.73
93.04 80.1
95.77 80.57
98.51 81.25
101.24 81.55
103.98 79.98
106.72 79.39
109.45 78.83
112.19 77.55
114.93 77.37
117.66 78.02
120.4 78.44
123.14 78.65
125.87 77.98
128.61 76.88
131.34 77.02
134.08 76.52
136.82 75.78