Piyush (piyush41y08h)

Race #6142

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Official speed 88.54 wpm (117.10 seconds elapsed during race)
Without ending ping 88.74 wpm (268 ms delay sending score to TypeRacer’s server)
Timerless 89.02 wpm (366 ms elapsed before first character typed; 116.47 seconds elapsed during race)
Timerless minus one 88.92 wpm, ignoring the first character typed
Race Start August 20, 2023 4:28:03pm UTC
Race Finish August 20, 2023 4:30:00pm UTC
Outcome No win (3 of 5)
Opponents 1. ralphwinson (97.85 wpm)
2. smallchicken (95.79 wpm)
Accuracy 97.8%
Points 239.06
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 i s a tool that helps us understand how a change in one quantity is related to chaa change in another. How does the espeed of a sfalling object change as a function of time? How does the level of weaater in a barrel change as a function of the amount of liquid poured into it? We see change occuring occurring in rnearly everything we sobserve 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 srates of cahhange, and show that they are closely related to the slope of a curve at a opintpoint P on the curve. We give precise developments of these important conecepts in the next chapter, but for now we suse an informal approah ch so you will see how they lead naturally to the main idea of this chapter, the mlimit. The idea of a mlimit playes s a funoundational rote le throughout calculus.
Timing
Character C a l c u l u s i - s a t o o l t h a t
Milliseconds 366 202 101 140 106 166 208 91 67 77 132 403 193 85 105 102 79 99 216 310 129 179 82 56 92
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 37 115 110 133 187 68 82 112 77 86 243 203 66 184 66 236 179 75 35 117 30 137 71 21 87
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 117 69 123 66 102 81 71 62 50 81 70 66 181 167 74 61 242 101 79 108 79 102 125 113 76
Character i s r e l a t e d t o c h a -c -h -a a c h a
Milliseconds 198 76 107 162 49 127 79 132 126 260 209 127 91 46 105 90 45 477 0 0 297 90 303 81 83
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 90 84 40 55 77 76 88 72 109 11 151 106 66 69 85 81 187 200 80 86 175 146 68 140 116
Character t h e e -e s p e e d o f a s -s f a l l i n
Milliseconds 149 124 291 139 129 319 78 107 135 178 270 91 125 73 79 90 75 123 323 35 51 117 215 11 90
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 34 83 88 101 178 62 181 192 43 135 87 67 148 74 41 95 93 88 116 104 87 83 380 179 71
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 179 18 85 18 97 105 35 72 135 67 40 90 244 160 231 192 65 82 142 302 110 171 77 133 79
Character e l e v e l o f w e a -a -e a t e r i n a
Milliseconds 46 76 106 34 244 53 75 101 223 76 60 137 116 34 379 128 112 278 94 96 80 63 48 106 105
Character b a r r e l c h a n g e a s a f u n c t
Milliseconds 77 133 68 153 156 65 76 129 103 83 71 101 90 38 49 257 97 109 110 68 97 101 177 61 219
Character i o n o f t h e a m o u n t o f l i q u
Milliseconds 40 67 44 80 106 84 50 419 87 71 40 305 65 97 116 182 75 57 56 92 39 102 74 313 91
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 61 188 86 324 114 226 187 218 202 94 91 58 121 63 81 202 66 342 263 172 286 91 639 91 152
Character c h a n g e o c c u r i n g -o -c -c -u -r -i -n -g
Milliseconds 49 173 56 52 115 71 35 52 227 119 154 153 246 58 102 72 102 347 0 0 0 0 0 0 0
Character - o c c u r r i n g i n r -r n e a r l y e v
Milliseconds 0 271 103 171 188 221 255 157 109 110 112 72 65 72 156 320 150 27 82 117 71 134 96 109 236
Character e r y t h i n g w e s -s o b s e r v e i n
Milliseconds 51 595 68 158 67 48 107 89 82 83 87 52 288 280 199 117 406 48 97 189 59 86 73 76 85
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 107 69 57 84 127 84 111 123 88 61 149 77 117 35 175 257 95 134 77 123 193 464 152 74 133
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 65 81 85 110 78 23 78 87 177 63 181 51 441 140 212 220 81 73 83 100 62 136 164 179 76
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 186 77 102 138 222 81 339 86 121 202 122 153 65 81 202 42 163 167 67 81 41 56 44 137 51
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 104 30 99 45 51 65 113 94 189 179 71 119 91 47 46 67 223 66 209 216 39 41 56 78 80
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 73 86 320 90 133 166 50 161 60 116 70 73 162 76 61 60 115 116 168 99 380 213 135 76 71
Character a v e r a g e a n d i n s t a n t a n e o u s
Milliseconds 345 167 69 218 69 128 59 58 126 158 70 102 106 102 109 163 79 101 209 407 136 270 678 118 134
Character s -s r a t e s o f c a h -h -a h a n g e , a
Milliseconds 77 150 315 80 82 134 61 179 126 139 72 80 161 122 75 405 111 187 50 124 44 61 95 79 95
Character n d s h o w t h a t t h e y a r e c l o
Milliseconds 89 41 106 467 77 61 62 65 141 76 108 287 93 127 66 119 41 48 90 70 73 22 502 52 165
Character s e l y r e l a t e d t o t h e s l o p e
Milliseconds 30 65 94 160 197 114 48 134 91 156 81 165 66 121 50 68 132 51 100 26 122 66 217 122 185
Character o f a c u r v e a t a o p i n t -o -p -i
Milliseconds 28 91 96 40 190 18 612 107 125 209 58 59 129 114 77 148 106 187 13 113 77 129 271 0 0
Character -n -t p o i n t P o n t h e c u r v e . W
Milliseconds 0 0 369 36 72 117 88 94 436 152 202 108 52 66 110 20 96 148 99 110 178 61 101 221 318
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 193 94 117 76 109 55 51 114 203 74 195 113 169 61 101 211 132 117 66 60 178 106 236 85 101
Character t s o f t h e s e i m p o r t a n t c o n
Milliseconds 66 150 53 85 82 51 167 73 101 181 82 118 89 119 104 40 112 159 60 73 92 76 193 76 76
Character e -e c e p t s i n t h e n e x t c h a p t
Milliseconds 193 301 75 39 262 113 187 241 91 74 82 86 93 85 36 94 43 208 198 62 166 60 187 246 213
Character e r , b u t f o r n o w w e s -s u s e
Milliseconds 88 96 112 99 359 102 86 46 321 73 108 25 427 84 36 95 140 65 97 218 388 178 15 71 88
Character a n i n f o r m a l a p p r o a h - -h c h
Milliseconds 231 87 75 97 90 133 132 48 110 97 136 70 146 89 138 157 104 75 271 67 344 126 75 111 60
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 206 40 86 119 53 91 82 146 66 226 681 166 121 80 166 107 124 83 13 93 340 59 96 69 52
Character l e a d n a t u r a l l y t o t h e m a i
Milliseconds 116 82 80 161 127 152 85 128 81 104 87 40 139 115 80 121 72 88 278 80 103 74 117 111 72
Character n i d e a o f t h i s c h a p t e r , t
Milliseconds 91 66 130 88 144 86 114 99 71 75 138 66 39 69 72 127 155 108 117 105 101 67 110 119 155
Character h e m -m l i m i t . T h e i d e a o f a
Milliseconds 15 118 24 57 413 170 52 219 80 85 183 95 203 97 66 73 71 125 143 82 101 102 46 91 137
Character m -m l i m i t p l a y e s - -s -e s a f u
Milliseconds 85 99 337 171 48 188 55 67 117 51 145 67 118 60 134 95 444 153 139 56 115 68 81 121 97
Character n -n -u o u n d a t i o n a l r o t e - -e -t l e
Milliseconds 175 382 136 185 81 193 35 67 146 62 41 55 722 93 79 159 86 137 72 116 517 138 148 237 51
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 86 126 93 238 76 65 86 86 213 66 46 90 205 110 75 217 82 209 598 103 85
WPM Timing
Seconds WPM
2.34 61.49
4.68 79.42
7.03 90.52
9.37 96.07
11.71 89.15
14.05 93.94
16.39 90.77
18.74 91.59
21.08 92.8
23.42 93.77
25.76 93.16
28.1 94.36
30.45 95.38
32.79 95.89
35.13 94.62
37.47 93.51
39.81 89.22
42.16 89.1
44.5 87.91
46.84 88.9
49.18 88.81
51.52 89.2
53.87 88.89
56.21 90.52
58.55 91.2
60.89 91.05
63.23 91.28
65.58 89.67
67.92 89.4
70.26 90.18
72.6 90.41
74.94 90.47
77.29 89.74
79.63 89.67
81.97 89.74
84.31 90.38
86.65 90.15
89 90.48
91.34 90.39
93.68 90.31
96.02 89.98
98.36 89.55
100.71 90.08
103.05 90.95
105.39 90.86
107.73 91
110.07 90.16
112.42 89.67
114.76 88.99
117.1 88.54