nikhilsirvi9 (nikhilsirvi66)

Race #3119

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Official speed 62.34 wpm (166.31 seconds elapsed during race)
Without ending ping 62.51 wpm (455 ms delay sending score to TypeRacer’s server)
Timerless 63.57 wpm (2,765 ms elapsed before first character typed; 163.09 seconds elapsed during race)
Timerless minus one 63.50 wpm, ignoring the first character typed
Race Start April 27, 2024 5:39:54pm UTC
Race Finish April 27, 2024 5:42:40pm UTC
Outcome No win (3 of 4)
Opponents 2. agiunderground (78.17 wpm)
Accuracy 94.6%
Points 168.32
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 ins a tool that helps us undersatntand how a change in one queantintty is reallated to a change inano another. How does the speed of a falling object achange suas a fudndction of time? How does the levelo of water in a barre l change sas a function of the mamount of liquied poured into it? We see change aoccuriring in nearly weverythigng we obxserve in the world and univers, es, a, and powerful modern instrunments helps us see omrmore and more. In this esseection we introduce the ideas of average and instantaneous rates of change, wnand hosshow that they are closely reallated to the lsslpeope of a curve at ta a point P on teh cuhe curve. We give preciessel devleelpopments of these important concepts in the next chapetter, but for now we use an informal approach so you will see how htthey lea d naturally oto the aaamain diidaea of this scchapter, the limit. The kidea of a limtiit plays a fountdatinonal romele throughout calculus.
Timing
Character C a l c u l u s i n -n s a t o o l t h a t
Milliseconds 2765 482 288 579 66 150 276 143 105 109 140 276 100 102 104 126 129 83 149 144 168 98 101 15 98
Character h e l p s u s u n d e r s a t n -n -t -a t a n
Milliseconds 58 183 83 87 215 184 125 90 99 112 181 140 246 219 115 491 207 20 136 304 223 150 119 124 57
Character d h o w a c h a n g e i n o n e q u e
Milliseconds 139 109 188 80 72 187 85 108 158 60 106 93 102 180 38 109 104 114 124 101 128 92 199 108 214
Character -e a n t i n t -t -n t y i s r e a l -l -a l a t e
Milliseconds 389 88 125 124 95 94 55 339 162 108 93 132 135 113 34 166 108 96 245 268 124 223 90 84 137
Character d t o a c h a n g e i n a n o -o -n -a a n
Milliseconds 176 65 236 116 131 104 123 142 91 95 70 127 99 230 148 33 205 110 90 372 165 155 151 142 357
Character o t h e r . H o w d o e s t h e s p e e d
Milliseconds 96 139 90 54 105 115 140 177 94 83 137 131 40 149 109 134 28 204 106 162 183 148 190 135 179
Character o f a f a l l i n g o b j e c t a -a c h
Milliseconds 100 81 135 83 147 125 302 141 120 167 94 118 74 93 57 211 264 93 317 211 98 133 290 97 112
Character a n g e s u -u -s a s a f u d -d n d -d c t i o
Milliseconds 73 130 62 112 107 107 17 250 96 115 101 129 102 99 218 149 291 259 192 110 349 104 203 43 50
Character n o f t i m e ? H o w d o e s t h e l
Milliseconds 67 190 80 97 58 150 49 83 111 252 213 217 73 217 241 191 30 158 120 133 88 99 23 126 68
Character e v e l o -o o f w a t e r i n a b a r r
Milliseconds 116 598 199 100 205 366 238 193 86 89 400 192 134 103 106 105 102 99 107 113 135 163 309 293 167
Character e - l c h a n g e s -s a s a f u n c t i
Milliseconds 118 194 336 230 155 150 103 147 100 323 141 89 129 257 61 66 119 102 95 174 82 168 225 218 32
Character o n o f t h e m -m a m o u n t o f l i q
Milliseconds 69 12 184 118 104 64 120 51 62 83 149 270 99 181 240 110 158 140 200 193 115 125 239 151 210
Character u i e -e d p o u r e d i n t o i t ? W e
Milliseconds 136 118 207 261 86 98 169 196 137 410 92 195 72 217 94 197 99 167 236 123 342 274 243 174 140
Character s e e c h a n g e a -a o c c u r i -i r i n g
Milliseconds 76 181 133 130 270 128 73 117 126 123 112 143 284 224 126 123 297 264 91 349 90 123 75 82 102
Character i n n e a r l y w -w e v e r y t h i g -g n g
Milliseconds 81 122 104 237 91 141 120 106 178 113 159 295 102 170 127 98 99 260 124 48 199 338 178 91 102
Character w e o b x -x s e r v e i n t h e w o r l d
Milliseconds 101 129 132 409 421 434 319 83 85 114 222 180 148 118 99 85 74 113 35 93 73 125 70 149 84
Character a n d u n i v e r s , - -, e s , a -a - -, -s
Milliseconds 125 323 123 86 89 342 232 185 96 165 189 142 228 100 283 139 143 145 101 132 61 294 163 117 125
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 507 162 65 96 84 78 148 121 123 73 90 205 124 110 476 215 94 268 216 103 158 138 128 164 95
Character t r u n -n m e n t s h e l p s - -s u s s e
Milliseconds 161 232 95 344 264 178 94 118 113 163 119 286 106 92 122 190 91 304 144 202 134 652 125 134 231
Character e o m r -r -m -o m o r e a n d m o r e . I n
Milliseconds 128 60 186 104 58 187 143 141 207 94 144 40 152 196 98 105 61 67 72 136 88 104 133 164 179
Character t h i s e -e s s e -e -s e c t i o n w e i n
Milliseconds 106 87 76 56 97 136 161 304 36 342 35 534 126 58 210 196 66 69 47 393 227 85 92 134 151
Character t r o d u c e t h e i d e a s o f a v e r
Milliseconds 64 176 90 522 78 169 187 120 93 110 42 120 128 178 263 158 191 222 137 126 62 226 172 144 120
Character a g e a n d i n s t a n t a n e o u s r a t
Milliseconds 343 317 149 89 108 65 137 56 476 382 162 112 120 109 176 175 255 101 478 106 154 128 306 110 118
Character e s o f c h a n g e , w n -n -w a n d h o s
Milliseconds 168 220 144 153 99 105 177 93 87 73 120 132 101 62 83 105 237 144 196 126 78 100 127 72 80
Character -s -o -h s h o w t h a t t h e y a r e c l o
Milliseconds 387 163 134 465 105 65 90 180 97 83 48 57 87 99 73 105 117 189 148 93 52 117 197 274 193
Character s e l y r e a l -l -a l a t e d t o t h e l
Milliseconds 122 85 133 150 97 171 58 92 60 455 148 188 23 165 171 526 119 141 59 100 80 100 52 112 192
Character s -s -l s l p e -e -p o p e o f a c u r v e a
Milliseconds 64 270 135 135 65 195 247 325 134 219 145 514 100 124 90 81 88 111 160 51 132 253 128 119 96
Character t t a - -a -t a p o i n t P o n t e h
Milliseconds 168 50 116 183 54 265 145 148 121 134 128 181 134 172 164 86 264 170 155 81 143 44 159 20 110
Character c u -u -c - -h -e h e c u r v e . W e g i v e
Milliseconds 156 46 199 178 173 145 124 221 102 91 266 68 138 212 156 118 86 489 370 0 291 203 122 141 58
Character p r e c i e s -s -e s e l -l d e v l e -e -l e l p -p
Milliseconds 187 160 103 425 89 139 134 164 114 117 88 105 357 131 242 182 246 147 138 479 146 113 134 196 519
Character o p m e n t s o f t h e s e i m p o r t a n
Milliseconds 238 227 426 86 134 83 104 97 109 79 60 132 17 473 172 774 114 120 592 134 105 218 204 47 90
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 95 129 423 77 103 169 213 71 167 280 146 178 140 109 51 110 31 223 162 166 206 209 79 168 113
Character a p e t -t -e t e r , b u t f o r n o w w e
Milliseconds 61 285 183 226 319 136 217 68 138 56 174 135 86 139 103 154 46 184 48 182 56 294 249 194 328
Character u s e a n i n f o r m a l a p p r o a c h
Milliseconds 428 253 66 90 112 179 121 144 157 331 202 81 119 86 329 293 174 218 99 152 134 62 117 210 395
Character s o y o u w i l l s e e h o w h t -t -h
Milliseconds 180 214 157 80 165 108 124 15 103 89 158 159 100 140 107 193 112 223 120 91 120 188 84 279 120
Character t h e y l e a - d n a t u r a l l y o -o t
Milliseconds 173 25 226 73 172 212 115 161 260 340 108 121 125 119 91 109 200 145 165 100 177 96 140 517 87
Character o t h e a -a a -a a -a m a i n d i -i -d i d a -a
Milliseconds 210 188 48 120 41 86 220 570 278 412 464 644 540 119 105 67 153 165 14 262 154 228 56 132 364
Character e a o f t h i s s c -c -s c h a p t e r , t
Milliseconds 91 113 109 125 108 42 135 56 70 318 176 192 159 276 112 279 141 142 517 144 121 126 49 80 74
Character h e l i m i t . T h e k -k i d e a o f a
Milliseconds 70 47 103 155 121 108 216 185 148 138 262 129 84 97 197 383 187 122 432 128 113 132 74 79 123
Character l i m t i -i -t i t p l a y s a f o u n t -t
Milliseconds 96 650 49 133 135 30 321 133 206 73 100 174 249 112 190 87 146 414 174 187 99 74 170 136 244
Character d a t i n -n o n a l r o m e -e -m l e t h r o u
Milliseconds 101 151 48 83 269 481 211 143 318 136 143 138 68 88 158 334 111 226 100 66 112 100 103 126 52
Character g h o u t c a l c u l u s .
Milliseconds 112 105 169 90 70 127 234 132 71 225 110 262 206 154 120
WPM Timing
Seconds WPM
3.33 7.22
6.65 36.08
9.98 46.9
13.31 57.72
16.63 56.28
19.96 58.92
23.28 61.85
26.61 64.49
29.94 64.54
33.26 64.94
36.59 64.61
39.92 64.64
43.24 65.77
46.57 66.48
49.89 66.38
53.22 66.06
56.55 66.21
59.87 65.74
63.2 66.65
66.53 64.76
69.85 64.94
73.18 65.1
76.5 63.68
79.83 64.49
83.16 64.36
86.48 64.8
89.81 64.67
93.14 65.07
96.46 65.19
99.79 65.18
103.11 64.59
106.44 64.6
109.77 64.06
113.09 64.3
116.42 63.29
119.75 63.13
123.07 62.89
126.4 63.32
129.72 63.36
133.05 63.31
136.38 63.79
139.7 63.65
143.03 63.76
146.36 62.64
149.68 62.37
153.01 62.58
156.33 62.48
159.66 62.38
162.99 61.92
166.31 62.34