ABISHIEK A (abishiek_a)

Race #616

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Official speed 105.87 wpm (97.93 seconds elapsed during race)
Without ending ping 106.54 wpm (616 ms delay sending score to TypeRacer’s server)
Timerless 107.06 wpm (470 ms elapsed before first character typed; 96.85 seconds elapsed during race)
Timerless minus one 106.93 wpm, ignoring the first character typed
Race Start October 18, 2023 2:42:36am UTC
Race Finish October 18, 2023 2:44:14am UTC
Outcome No win (2 of 5)
Opponents 1. rng9512 (107.93 wpm)
Accuracy 96.9%
Points 285.86
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 help uss us understand how a change in one quantity is related to a change in another. How does the psespeed of a falling object change as a fuycnction of time? How does the level of water in a tbarrel change as a functxion fotion of the amoun tof t of liquid poured into it? We see change occurring in enearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. IN thisn this seciontionw e in we introduce the dideas of average and instanataneous rate os of change, and show that they are closely related to the slope of a cursve at a point P on the curve. We give precise developments o f these important concepts in the next chapter, but for now uswwe use an informal approach so you will see how they lead naturally to the main doidea of this chapter, the limit. The diidea of a ilmitlimit palys lyays a foundationsl al role throuhgout ghout ghout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 470 126 130 103 147 141 76 54 99 68 25 80 45 98 89 83 111 600 41 84 50 48 47 76 164
Character e l p u s -s -u - s u s u n d e r s t a n d
Milliseconds 88 101 111 153 79 254 165 109 89 75 74 84 65 117 300 148 33 129 0 371 62 32 57 147 68
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 79 24 61 77 80 76 161 34 77 50 62 52 32 42 41 90 83 64 74 96 319 65 95 103 130
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 49 116 74 48 56 70 42 152 40 95 93 42 84 103 78 118 0 85 64 101 136 85 65 42 87
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 54 34 65 51 76 65 79 43 37 71 45 68 34 63 173 350 98 137 80 89 59 37 30 103 68
Character e p s e -e -s -p s p e e d o f a f a l l i n
Milliseconds 49 47 134 0 202 232 91 86 182 50 98 122 102 51 51 64 43 73 68 166 107 39 130 25 46
Character g o b j e c t c h a n g e a s a f u y c
Milliseconds 56 53 88 70 139 52 168 106 112 95 69 34 86 62 60 20 266 95 74 75 120 36 134 22 111
Character -c -y n c t i o n o f t i m e ? H o w d o e
Milliseconds 335 95 186 140 118 30 0 35 139 45 49 97 337 70 39 70 150 766 197 151 79 93 71 54 71
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 27 51 84 33 48 50 87 60 118 61 63 74 81 20 104 226 111 28 94 49 49 47 56 77 0
Character t -t b a r r e l c h a n g e a s a f u n
Milliseconds 135 49 309 53 43 141 116 116 160 45 78 38 73 32 82 38 45 210 73 98 107 82 76 111 123
Character c t x i o n f o -o -f - -n -o -i -x -t t i o n o f
Milliseconds 89 82 0 32 29 37 62 51 28 277 93 103 111 95 115 105 183 549 72 35 50 92 66 51 42
Character t h e a m o u n t o f - -f -o -t - t o f l
Milliseconds 88 35 22 75 228 77 80 45 121 60 35 83 100 55 295 93 104 109 107 71 82 91 72 95 78
Character i q u i d p o u r e d i n t o i t ? W e
Milliseconds 43 151 103 48 125 178 215 123 43 108 93 115 41 35 45 123 63 477 122 84 168 57 190 187 112
Character s e e c h a n g e o c c u r r i n g i n e
Milliseconds 85 39 121 97 140 84 47 47 77 33 61 164 162 101 112 122 110 80 40 66 50 64 22 107 96
Character -e n e a r l y e v e r y t h i n g w e o b s
Milliseconds 274 124 52 36 89 38 48 100 110 103 62 88 47 151 46 73 63 34 85 92 68 123 346 102 286
Character e r v e i n t h e w o r l d a n d u n i
Milliseconds 104 40 167 49 54 38 38 91 32 47 51 49 67 50 122 0 405 101 125 53 70 54 98 124 27
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 72 28 119 76 41 91 50 62 46 43 80 42 44 61 22 60 136 31 63 102 202 61 56 137 65
Character n i n s t r u m e n t s h e l p u s s e e
Milliseconds 132 51 44 90 45 86 130 122 179 124 103 55 123 114 235 101 85 126 108 27 111 52 118 29 146
Character m o r e a n d m o r e . I N t h i s -s -i
Milliseconds 123 26 62 24 46 50 54 59 71 144 38 54 80 56 49 57 105 145 46 62 55 47 85 204 94
Character -h -t - -N n t h i s s e c i o n -n -o -i t i o n w
Milliseconds 105 111 118 76 270 68 69 46 52 86 42 119 22 195 107 16 24 366 89 91 104 58 15 34 90
Character e i n -n -i - -e - -w w e i n t r o d u c e
Milliseconds 26 69 93 127 40 190 93 95 109 108 111 69 67 89 67 122 57 97 125 76 153 111 90 104 97
Character t h e d -d i d e a s o f a v e r a g e a n
Milliseconds 46 61 42 62 135 231 190 56 114 69 186 177 37 89 57 293 97 65 109 107 78 45 88 39 77
Character d i n s t a n a -a t a n e o u s r a t e o -o
Milliseconds 65 93 63 70 146 138 60 423 280 296 76 57 100 104 470 40 99 91 209 95 101 60 106 26 415
Character - s o f c h a n g e , a n d s h o w t h
Milliseconds 103 61 109 27 85 50 167 40 80 42 65 47 42 41 49 50 48 85 167 61 45 68 37 82 22
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 58 75 36 102 21 73 51 40 51 186 29 116 124 61 86 47 37 96 38 76 77 50 73 89 62
Character e d t o t h e s l o p e o f a c u r s
Milliseconds 74 106 47 152 0 51 87 28 22 85 138 85 110 88 51 110 225 43 101 28 120 67 92 66 129
Character -s v e a t a p o i n t P o n t h e c
Milliseconds 215 83 36 106 157 231 118 43 147 128 41 32 40 47 81 250 150 50 112 53 82 58 29 67 164
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 0 132 421 40 127 72 312 146 125 104 293 85 38 79 144 73 40 168 66 96 30 49 108 142 81
Character e l o p m e n t s o - f t h e s e i m p o
Milliseconds 96 50 108 10 193 134 93 100 103 41 43 130 439 48 64 73 45 50 160 31 81 100 156 72 50
Character r t a n t c o n c e p t s i n t h e n e x
Milliseconds 160 156 75 50 125 76 115 123 54 117 144 71 91 402 82 36 34 93 57 55 41 69 96 40 150
Character t c h a p t e r , b u t f o r n o w u s
Milliseconds 97 140 84 85 86 119 120 101 55 53 44 114 27 111 41 130 47 90 38 52 120 211 111 108 131
Character -s w -w -u w e u s e a n i n f o r m a l a p
Milliseconds 244 100 131 108 105 83 27 61 117 37 56 207 55 116 27 98 131 114 430 130 151 113 139 97 112
Character p r o a c h s o y o u w i l l s e e h o
Milliseconds 95 187 50 116 123 53 184 223 92 58 79 48 40 0 84 61 35 98 55 71 37 107 85 33 48
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 33 122 145 53 54 59 47 124 72 53 108 102 104 78 70 95 75 72 24 101 47 63 80 56 71
Character t h e m a i n d o -o -d i d e a o f t h i s
Milliseconds 60 50 0 84 85 59 78 27 107 34 100 263 109 144 22 123 64 150 154 127 71 60 49 32 56
Character c h a p t e r , t h e l i m i t . T h e
Milliseconds 100 114 56 52 47 164 102 56 31 39 123 32 107 154 67 37 123 81 136 72 71 73 50 127 124
Character d i -i -d i d e a o f a i l m i t -t -i -i -l -m l
Milliseconds 106 16 309 100 153 15 116 54 64 50 78 54 74 110 161 0 136 75 111 142 90 83 0 0 174
Character i m i t p a l y s - -s -y -l -a l y -y a y s a
Milliseconds 36 87 102 153 74 57 119 0 105 101 73 217 92 106 98 104 167 68 444 69 104 100 73 98 65
Character f o u n d a t i o n s l - -l -s a l r o l e t
Milliseconds 76 147 42 216 73 80 69 36 10 25 134 212 83 240 95 92 113 100 110 103 37 62 124 34 79
Character h r o u h g o u t - -t -u -o -g g h o u t - -t -u -o
Milliseconds 42 146 0 24 133 0 117 34 109 39 224 84 113 112 96 252 61 124 43 53 90 237 83 99 114
Character -h -g -h g h o u t c a l c u l u s .
Milliseconds 115 130 101 85 106 106 42 91 81 161 163 201 153 241 174 99 147 39
WPM Timing
Seconds WPM
1.96 104.15
3.92 85.77
5.88 85.77
7.83 102.62
9.79 111.51
11.75 117.43
13.71 114.66
15.67 117.94
17.63 115.73
19.59 110.28
21.54 116.41
23.5 115.9
25.46 109.81
27.42 109.41
29.38 107.01
31.34 106.45
33.3 107.04
35.26 108.24
37.21 109.31
39.17 110.89
41.13 112.91
43.09 113.07
45.05 112.15
47.01 110.54
48.97 108.81
50.92 108.4
52.88 108.69
54.84 106.78
56.8 106.9
58.76 109.26
60.72 110.48
62.68 110.47
64.63 110.47
66.59 110.28
68.55 110.11
70.51 110.45
72.47 110.61
74.43 110.44
76.39 109.97
78.35 109.82
80.3 111.33
82.26 111.89
84.22 112.56
86.18 112.23
88.14 111.51
90.1 109.75
92.06 109.11
94.01 108.37
95.97 106.91
97.93 105.87