mohit (madara989)

Race #18979

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Official speed 80.95 wpm (128.08 seconds elapsed during race)
Without ending ping 81.17 wpm (354 ms delay sending score to TypeRacer’s server)
Timerless 83.78 wpm (3,978 ms elapsed before first character typed; 123.75 seconds elapsed during race)
Timerless minus one 83.69 wpm, ignoring the first character typed
Race Start March 11, 2024 7:48:50am UTC
Race Finish March 11, 2024 7:50:58am UTC
Outcome No win (2 of 5)
Opponents 1. kedalg (81.62 wpm)
Accuracy 96.3%
Points 218.57
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 t hat hththat hlehelps us understand how a chang ein change in one quantityu isqunatquantity is realereleatedreleaated to a change in another. How does the speed of a falling object change as a fucntionfunction of time? How does the level of water in a bnabarrel change as a function of the amount of luiquid poured into it? We see change occuringoccurrting occurring thin nearly everything we observe in the world and universe, and powerful modern instrument hes help us see koremore and more. In this section we introduce the dieasideas of a verage and instantaneous trates of hcachange, and show that they are closely releate d to the soloslope of a ducurve at a point P on the curve. We give precise develompments of thsethese important concepts in the next chatpechapter, but for new wenow we use a infoan informaol l approach so you will see ghow how they lead naturally to the mainin ikdea idea of this chapter, the limit. The diidea of a limit plays a foundational rolse tee ththroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t
Milliseconds 3978 87 116 454 167 144 195 148 42 80 87 18 146 21 254 113 114 125 87 82 21 37 65 46 22
Character h -h -h -a -t - t h -h -t -t - t h a t h l e -e -h -l h e
Milliseconds 127 274 123 0 0 0 420 37 219 153 129 0 199 24 127 18 150 140 181 159 352 112 0 156 94
Character l p s u s u n d e r s t a n d h o w a c
Milliseconds 87 135 114 37 155 25 76 305 137 39 129 85 186 34 130 0 109 60 124 55 51 88 100 59 165
Character h a n g e i n -e -i -n - -c -h -a -n -g - c h a n g e
Milliseconds 35 105 44 127 0 43 82 45 71 315 0 0 0 111 0 0 0 0 0 200 60 84 43 87 40
Character i n o n e q u a n t i t y u i s -i -s -q -u -a
Milliseconds 0 111 42 69 368 38 63 59 151 83 111 48 849 111 96 68 0 59 122 68 234 0 135 0 0
Character -n -t -i -t -y -u - q u n a t -q -u -n -a -t q u a n t i t y
Milliseconds 0 0 0 0 0 0 0 292 85 154 18 197 295 0 0 0 0 223 59 166 25 136 176 136 87
Character i s r e a l e -r -e -a -l -e r e l e a t e d -r -e -l
Milliseconds 61 122 39 41 130 40 89 20 176 298 0 0 0 0 183 33 67 88 94 32 93 62 309 0 0
Character -e -a -t -e -d r e l e a -a -e a t e d t o a c h a
Milliseconds 0 0 0 0 0 239 31 96 97 89 377 125 103 40 90 59 118 95 57 73 350 86 162 60 83
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 35 62 54 35 87 39 89 23 136 121 60 85 65 44 60 42 180 84 84 39 152 61 86 39 39
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 129 59 48 36 129 87 105 112 107 116 96 58 39 135 57 120 85 21 116 63 59 71 39 128 105
Character j e c t c h a n g e a s a f u c n t i o n
Milliseconds 120 15 185 78 73 108 91 81 90 23 56 137 119 88 59 310 222 105 84 123 33 69 34 27 60
Character -f -u -c -n -t -i -o -n f u n c t i o n o f t i m e ?
Milliseconds 315 0 0 0 0 0 0 0 159 39 145 64 137 0 22 41 121 90 65 70 124 75 46 67 200
Character H o w d o e s t h e l e v e l o f w a
Milliseconds 282 220 33 134 32 168 61 84 71 32 120 48 69 16 166 39 86 91 86 446 149 83 64 186 81
Character t e r i n a b n a -b -n -a b a r r e l c h a
Milliseconds 16 88 129 22 107 60 48 61 67 100 0 130 379 0 0 213 108 151 160 128 144 58 86 86 123
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 0 54 70 0 220 71 279 121 59 106 91 120 18 63 106 0 60 345 119 39 65 295 71 42 40
Character a m o u n t o f l u -u i q u i d p o u r e d
Milliseconds 148 69 136 17 124 695 88 102 60 65 281 81 409 194 115 105 161 87 62 354 160 160 179 88 84
Character i n t o i t ? W e s e e c h a n g e o
Milliseconds 58 112 40 121 40 83 164 60 211 113 184 159 104 122 158 144 88 88 63 168 34 45 43 118 120
Character c c u r i n g -o -c -c -u -r -i -n -g o c c u r r t i n g
Milliseconds 64 482 143 80 121 41 66 355 0 0 0 0 0 0 0 240 101 124 81 142 120 23 77 44 42
Character -o -c -c -u -r -r -t -i -n -g - o c c u r r i n g t h -t
Milliseconds 113 278 0 0 0 0 0 0 0 0 0 0 207 194 160 279 122 155 172 58 63 86 296 40 248
Character -h i n n e a r l y e v e r y t h i n g w e
Milliseconds 0 185 32 72 136 128 86 0 89 97 88 120 88 87 86 88 97 88 107 90 17 84 127 45 87
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 308 63 138 87 47 176 40 90 81 37 92 78 39 68 69 84 90 57 71 97 62 153 15 58 25
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 147 147 161 34 48 127 67 108 110 91 118 42 83 47 215 164 57 47 41 112 88 119 121 171 168
Character d e r n i n s t r u m e n t h e -e -h - s h e
Milliseconds 110 103 61 268 123 103 56 150 39 123 70 119 81 79 70 88 162 103 231 123 160 89 43 115 88
Character l p u s s e e k o r e -k -o -r -e m o r e a n
Milliseconds 88 117 110 141 60 70 139 163 140 60 127 99 45 34 265 0 0 0 191 97 68 42 21 121 0
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 114 20 121 125 39 40 89 29 186 54 118 102 60 47 108 41 144 108 161 91 55 19 26 124 108
Character e i n t r o d u c e t h e d i e a s -d -i -e -a
Milliseconds 41 107 167 20 83 127 39 144 83 81 140 48 145 12 69 39 140 0 132 106 111 193 0 0 0
Character -s i d e a s o f a - v e r a g e a n d i
Milliseconds 0 192 63 114 91 467 111 196 38 66 107 60 520 141 60 189 122 85 63 123 69 59 21 107 123
Character n s t a n t a n e o u s t -t r a t e s o f h
Milliseconds 43 546 64 108 141 90 397 239 256 202 64 83 149 220 370 104 56 113 62 72 38 98 66 23 183
Character c a -h -c -a c h a n g e , a n d s h o w t h a
Milliseconds 20 166 283 0 0 188 58 86 33 71 40 66 87 77 42 18 136 141 41 111 528 108 118 81 65
Character t t h e y a r e c l o s e l y r e l e -e a
Milliseconds 47 509 97 55 73 78 69 125 359 80 131 99 91 119 57 47 70 140 78 51 67 82 112 436 105
Character t e - d t o t h e s o l o -s -o -l -o s l o p
Milliseconds 62 70 195 270 128 38 120 40 90 94 40 41 69 165 112 0 149 394 0 0 0 160 58 167 126
Character e o f a d u -d -u c u r v e a t a p o i
Milliseconds 107 38 86 59 44 128 81 335 100 304 0 142 64 86 154 41 120 117 37 92 121 63 98 20 18
Character n t P o n t h e c u r v e . W e g i v
Milliseconds 40 66 93 226 239 146 37 57 137 37 42 66 349 106 89 134 36 94 40 167 161 86 104 93 69
Character e p r e c i s e d e v e l o m -m p m e n t s
Milliseconds 40 82 180 113 198 482 107 263 55 111 155 127 107 67 87 161 254 387 277 177 105 62 90 175 112
Character o f t h s e -t -h -s -e t h e s e i m p o r t a n
Milliseconds 98 44 82 98 89 107 60 303 0 0 0 159 60 44 111 41 127 122 106 126 59 104 147 128 35
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 122 91 209 121 57 94 145 104 102 99 64 106 38 94 82 33 45 66 110 90 132 107 106 94 108
Character a t p e -c -h -a -t -p -e c h a p t e r , b u t f o
Milliseconds 89 65 89 176 287 0 0 0 0 0 387 111 77 132 87 100 64 45 71 103 79 84 90 122 58
Character r n e w w e -w -e -n -e -w - n o w w e u s e
Milliseconds 88 0 125 116 30 45 176 47 238 0 102 0 0 0 209 56 50 80 102 90 43 162 90 33 45
Character a i n f o -i -n -f -o -a - a n i n f o r m a o l
Milliseconds 104 62 179 40 41 151 200 0 0 0 102 0 245 65 125 120 31 95 102 59 112 79 208 0 163
Character - -l -o l a p p r o a c h s o y o u w i l l
Milliseconds 350 137 161 241 108 53 109 127 129 87 119 457 135 83 198 37 90 134 85 63 14 106 63 168 112
Character s e e g h o w -g -h -o -w - h o w t h e y l
Milliseconds 71 82 159 143 90 146 0 43 112 65 321 0 0 0 0 258 87 23 83 109 60 68 83 68 104
Character e a d n a t u r a l l y t o t h e m a i -i
Milliseconds 39 57 121 57 201 126 87 157 67 104 88 115 133 89 90 44 67 108 63 163 106 102 88 138 358
Character n -n i n i k d e a -i -k -d -e -a - i d e a o f
Milliseconds 226 313 197 36 113 162 0 121 123 44 84 234 0 0 0 0 0 292 88 119 39 114 76 60 47
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 104 38 42 91 17 245 82 82 91 129 88 79 42 71 136 63 57 72 257 104 137 133 90 97 66
Character T h e d i -d -i i d e a o f a l i m i t p
Milliseconds 252 337 87 81 122 143 340 0 178 71 135 60 30 97 67 37 135 19 121 93 144 128 82 41 125
Character l a y s a f o u n d a t i o n a l r o l s e
Milliseconds 105 55 137 96 134 75 92 137 83 20 672 145 152 60 63 22 38 146 156 109 73 87 594 270 63
Character t -t - -e e -e -s e t h -t -h t h r o u g h o u t
Milliseconds 141 163 249 134 160 185 335 120 336 186 308 140 510 0 183 64 104 98 132 98 113 217 60 132 104
Character c a l c u l u s .
Milliseconds 144 227 437 159 81 165 176 105 108
WPM Timing
Seconds WPM
2.56 0
5.12 14.05
7.68 29.67
10.25 35.13
12.81 46.85
15.37 49.97
17.93 42.83
20.49 44.5
23.05 46.85
25.62 58.09
28.18 65.58
30.74 66.37
33.3 70.27
35.86 71.27
38.42 74.33
40.99 74.95
43.55 75.5
46.11 75.99
48.67 72.24
51.23 72.61
53.79 75.18
56.35 77.93
58.92 79.43
61.48 79.05
64.04 80.58
66.6 81.62
69.16 81.2
71.72 80.98
74.29 80.77
76.85 81.51
79.41 81.91
81.97 81.54
84.53 82.19
87.09 83.08
89.66 82.58
92.22 82.11
94.78 83.18
97.34 82.84
99.9 83.12
102.46 82.21
105.02 82.04
107.59 82.32
110.15 83.02
112.71 81.87
115.27 82.87
117.83 82.9
120.39 83.33
122.96 82.18
125.52 81.26
128.08 80.95