Tariq (taekwz)

Race #46

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Official speed 106.08 wpm (97.74 seconds elapsed during race)
Without ending ping 106.22 wpm (125 ms delay sending score to TypeRacer’s server)
Timerless 106.66 wpm (408 ms elapsed before first character typed; 97.21 seconds elapsed during race)
Timerless minus one 106.54 wpm, ignoring the first character typed
Race Start September 21, 2023 1:20:13am UTC
Race Finish September 21, 2023 1:21:51am UTC
Outcome Win (1 of 4)
Opponents 3. 43243264 (103.18 wpm)
4. happypianoman (86.12 wpm)
Accuracy 97.2%
Points 286.42
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 uuss understand how a chanageige in one quantity is related to a change in another. How does the speed of faa falling object change a ss a function of time? hHow does the level of water in a barrel change as ta function of the maamount off lquliquid poured into it? We see change occuringring in nearly everything we observe in the world and unniverse, and piwer=owerful modern intsstruments help us see more and more. In this section we introduce the ideas of average and instantaan=neous ratews s of change, and show that they aree closely related to the slope of a curve at a pioint P ionon the curve. We gfivive preceiise devlelopments of these important concepts in hthethe nexctt chapter, but for now we use an informal approach yso you will see how they lead naturally to htthe main idea of this chapter, the limit. The iidea of a limit plays a foundatiuoonal role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 408 128 84 179 171 103 254 110 83 260 60 79 85 87 86 46 138 131 62 61 82 42 64 42 39
Character e l p s u u s -s -u s u n d e r s t a n d h o
Milliseconds 93 100 52 45 111 143 75 105 185 108 75 71 85 83 7 112 98 109 86 76 64 77 59 54 35
Character w a c h a n a g e i -i -e -g -a g e i n o n e
Milliseconds 33 118 82 86 54 62 105 62 84 36 71 96 221 124 120 126 87 38 44 68 72 41 270 64 53
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 79 123 76 111 73 91 98 62 172 48 142 97 85 105 99 48 78 118 83 102 89 98 55 35 90
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 89 118 113 61 129 157 52 98 153 97 39 108 76 54 53 86 35 78 85 123 231 267 76 92 69
Character o e s t h e s p e e d o f f a -a -f a f a
Milliseconds 100 76 54 71 80 55 72 62 129 45 138 117 47 52 85 63 73 107 60 132 118 80 45 179 93
Character l l i n g o b j e c t c h a n g e a s -s -
Milliseconds 60 115 156 33 30 74 38 80 184 59 46 106 13 117 65 107 64 85 81 92 88 121 77 136 111
Character s a f u n c t i o n o f t i m e ? h -h H
Milliseconds 87 54 90 84 100 64 66 48 98 70 25 114 44 95 70 54 102 28 75 82 165 105 207 459 151
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 113 61 61 80 87 78 43 53 77 49 97 46 48 97 54 78 23 74 91 115 123 193 63 105 103
Character r i n a b a r r e l c h a n g e a s t
Milliseconds 81 42 46 43 69 129 92 89 111 135 160 64 59 100 191 51 83 84 66 55 93 100 67 62 94
Character -t a f u n c t i o n o f t h e m a -a -m a m
Milliseconds 223 66 73 170 45 58 83 83 31 56 130 26 94 69 76 110 60 92 57 34 96 252 115 139 50
Character o u n t o f -f f l q u -u -q -l l i q u i d p o
Milliseconds 66 92 138 48 43 60 92 227 262 85 71 99 85 280 123 130 416 106 130 95 84 95 78 456 220
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 89 78 59 110 73 52 52 61 74 54 108 47 178 135 220 172 88 64 99 132 62 86 72 89 81
Character g e o c c u r i n g -g -n -i r i n g i n n e a
Milliseconds 65 51 71 63 102 145 172 115 64 76 98 252 118 134 114 77 50 62 73 135 88 234 108 92 55
Character r l y e v e r y t h i n g w e o b s e r v e
Milliseconds 71 57 101 66 102 77 92 58 0 135 56 49 74 56 83 51 89 55 157 64 59 78 78 63 116
Character i n t h e w o r l d a n d u n -n n i v e
Milliseconds 200 203 58 41 59 87 52 89 54 75 105 69 81 69 111 74 77 51 55 53 215 549 149 55 72
Character r s e , a n d p i w e r -r -e -w = -= -i o w e r f
Milliseconds 118 124 79 104 98 65 89 68 127 137 99 6 68 55 118 140 127 171 313 137 148 42 31 47 189
Character u l m o d e r n i n t s -s -t s t r u m e n t s
Milliseconds 47 45 77 110 45 34 87 99 72 73 93 41 78 181 135 138 62 51 81 69 202 86 83 79 51
Character h e l p u s s e e m o r e a n d m o r
Milliseconds 103 157 108 76 30 106 111 87 93 126 82 141 67 47 54 58 32 105 107 92 75 102 81 45 124
Character e . I n t h i s s e c t i o n w e i n t
Milliseconds 97 196 303 239 188 102 89 66 61 100 70 130 61 315 62 109 54 110 15 96 65 81 92 44 52
Character r o d u c e t h e i d e a s o f a v e r a
Milliseconds 57 63 102 116 84 73 134 130 71 82 89 45 71 61 80 74 135 84 134 126 111 128 96 72 102
Character g e a n d i n s t a n t a a n = -= -n -a n e o u
Milliseconds 77 51 62 93 83 93 65 51 54 41 71 98 53 114 90 138 436 127 128 141 135 165 93 49 75
Character s r a t e w s - -s -w s o f c h a n g e ,
Milliseconds 86 79 483 98 108 54 101 33 0 235 141 128 95 68 65 59 90 122 89 86 91 100 61 43 96
Character a n d s h o w t h a t t h e y a r e -e e
Milliseconds 87 99 97 54 152 196 81 74 85 144 53 55 75 56 158 50 151 44 116 38 158 104 146 273 100
Character c l o s e l y r e l a t e d t o t h e s l
Milliseconds 124 88 136 52 54 95 77 76 121 56 134 72 78 77 124 101 84 56 39 92 59 76 55 114 51
Character o p e o f a c u r v e a t a p i -i o i
Milliseconds 176 44 92 68 253 69 95 49 101 40 120 96 64 112 73 97 69 73 145 62 197 278 354 153 182
Character n t P i o n -n -o -i o n t h e c u r v e .
Milliseconds 59 68 57 143 106 200 0 54 253 132 113 152 47 76 84 92 83 72 75 85 96 121 101 143 136
Character W e g f i v -v -i -f i v e p r e c e i -i -e i s e
Milliseconds 144 224 174 130 7 85 68 224 148 123 283 70 66 89 42 106 64 106 130 44 190 113 223 39 84
Character d e v l -l e l o p m e n t s o f t h e s e
Milliseconds 158 226 93 123 10 365 228 113 228 74 165 83 75 71 62 45 72 71 100 50 87 71 60 126 75
Character i m p o r t a n t c o n c e p t s i n h t -t
Milliseconds 58 90 154 57 0 85 73 78 81 84 93 54 53 83 65 72 88 61 87 40 93 29 175 0 279
Character -h h e -e -h t h e n e x c t -t -c t c h a p t e r
Milliseconds 129 194 75 202 108 93 84 109 31 139 48 148 0 28 317 122 185 85 135 72 124 13 173 72 91
Character , b u t f o r n o w w e u s e a n i
Milliseconds 59 1164 118 65 69 95 249 60 88 43 76 43 30 113 106 78 95 57 62 49 152 114 100 90 81
Character n f o r m a l a p p r o a c h y -y s o y o u
Milliseconds 84 71 73 85 63 362 81 90 165 64 141 108 84 62 53 56 130 90 193 61 138 50 99 61 40
Character w i l l s e e h o w t h e y l e a d n
Milliseconds 40 81 61 62 152 57 71 104 119 91 88 41 61 95 76 57 82 228 74 83 93 75 86 91 87
Character a t u r a l l y t o h t -t -h t h e m a i n
Milliseconds 63 82 257 107 64 210 132 58 96 105 48 59 157 99 167 122 228 77 92 71 115 147 62 40 77
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 103 67 74 94 155 278 57 141 85 34 36 81 60 104 64 95 58 101 58 96 47 69 86 86 66
Character l i m i t . T h e i i -i d e a o f a l
Milliseconds 89 484 169 80 110 43 149 89 121 95 96 105 6 91 426 141 58 94 81 55 92 93 69 93 67
Character i m i t p l a y s a f o u n d a t i u o -o -u
Milliseconds 201 65 103 81 63 71 76 19 64 96 102 90 81 80 67 67 179 95 66 107 65 11 23 285 133
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 256 97 126 55 99 52 58 174 77 61 89 65 103 21 72 79 55 68 90 23 127 66 79 31 106
Character u l u s .
Milliseconds 126 158 144 127 97
WPM Timing
Seconds WPM
1.95 73.67
3.91 95.15
5.86 110.5
7.82 105.9
9.77 110.5
11.73 111.52
13.68 114.01
15.64 116.64
17.59 118
19.55 115.41
21.5 117.75
23.46 117.15
25.41 117.11
27.37 111.82
29.32 110.5
31.28 111.27
33.23 109.06
35.19 111.18
37.14 112.76
39.1 111.42
41.05 108.16
43 108.27
44.96 109.7
46.91 109.22
48.87 110.25
50.82 110.97
52.78 109.59
54.73 107.87
56.69 108.81
58.64 108.45
60.6 109.51
62.55 109.92
64.51 108.08
66.46 107.79
68.42 106.47
70.37 104.87
72.33 105.85
74.28 105.82
76.24 104.83
78.19 103.75
80.14 104.51
82.1 104.36
84.05 105.22
86.01 105.48
87.96 105.04
89.92 105.56
91.87 105.01
93.83 105.9
95.78 105.49
97.74 106.08