Free Palestine! - Mufat (mufattm_)

Race #2066

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Official speed 125.76 wpm (82.44 seconds elapsed during race)
Without ending ping 125.95 wpm (125 ms delay sending score to TypeRacer’s server)
Timerless 125.96 wpm (7 ms elapsed before first character typed; 82.31 seconds elapsed during race)
Timerless minus one 125.82 wpm, ignoring the first character typed
Race Start April 5, 2024 6:51:15am UTC
Race Finish April 5, 2024 6:52:37am UTC
Outcome Win (1 of 2)
Accuracy 97.4%
Points 339.55
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 herlplps us understgand hand how a change in one quantity is reallated to a change in anortherther. How does the speed of a failllling object cxhnhange as a function of time? How does the level of wataer er in a barrel change as a function of thea amount of liquid poured into jt?it? We see chansge ge occurring in nearly everything we obsreerve in thse world and univerxes,se,se, and poweerrful modern instruments help us see more and more. In thiis section we introduce the ideas of average and insatanteaneous rates of change, and show that they are clioselyosely relateed to d to the slope of a curve at a point P on the curve. We giver p precise decelvelopments of these important concepts in the next xhchapterr, , but for now we use an informal approach so you will see hwo theow they lead naturally to the main idea of this chapter, hthe limit. The idea of a limit plays a foundational 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 7 109 90 68 90 132 126 56 62 110 65 52 55 74 70 83 97 111 66 60 76 55 26 90 94
Character e r l p -p -l -r l p s u s u n d e r s t g a n d
Milliseconds 41 16 43 133 183 108 92 111 128 47 47 90 43 55 53 92 66 50 109 77 123 0 42 48 85
Character h -h - -d -n -a -g a n d h o w a c h a n g e
Milliseconds 42 44 202 105 115 109 114 86 69 70 59 52 66 133 82 52 101 17 106 77 49 71 27 60 43
Character i n o n e q u a n t i t y i s r e a l -l -a
Milliseconds 83 118 30 191 111 68 23 132 84 101 58 91 85 48 91 85 91 67 66 84 27 106 109 199 77
Character l a t e d t o a c h a n g e i n a n o r
Milliseconds 122 52 25 41 117 66 86 42 90 108 26 151 72 84 49 62 64 42 100 111 22 89 59 116 86
Character t h e r -r -e -h -t -r t h e r . H o w d o e s t
Milliseconds 0 69 81 36 256 92 114 110 109 114 43 67 44 45 88 67 125 49 50 65 66 84 50 43 109
Character h e s p e e d o f a f a i l l -l -l -i l l i
Milliseconds 64 43 51 77 57 90 93 43 66 66 67 47 60 67 90 21 51 127 95 242 82 109 138 90 137
Character n g o b j e c t c x h n -n -h -x h a n g e a s
Milliseconds 101 41 51 92 132 115 67 10 49 93 83 9 44 122 200 98 103 133 66 44 49 24 108 52 41
Character a f u n c t i o n o f t i m e ? H o w
Milliseconds 67 67 42 86 71 108 32 34 68 108 116 42 135 22 92 49 42 105 62 159 314 104 219 73 67
Character d o e s t h e l e v e l o f w a t a e r
Milliseconds 48 67 67 41 60 74 67 47 67 94 59 91 35 48 49 85 49 66 84 66 26 69 58 30 50
Character - -r -e -a e r i n a b a r r e l c h a n g e
Milliseconds 285 108 110 149 273 43 91 51 124 25 42 66 116 60 49 132 154 114 65 47 80 50 44 48 42
Character a s a f u n c t i o n o f t h e a -a a
Milliseconds 92 50 39 62 67 50 84 65 93 50 45 62 92 123 51 93 42 65 49 59 60 184 312 111 41
Character m o u n t o f l i q u i d p o u r e d i n
Milliseconds 76 168 156 91 67 42 111 73 40 85 132 152 32 125 68 50 125 118 162 85 67 84 75 57 93
Character t o j t ? -? -t -j i t ? W e s e e c h a n s
Milliseconds 66 68 60 73 24 176 174 91 109 135 66 132 177 85 137 94 41 136 112 44 67 58 94 0 22
Character g e - -e -g -s g e o c c u r r i n g i n n e
Milliseconds 24 61 48 177 116 107 94 64 19 49 91 92 126 64 110 158 108 118 43 65 41 111 40 74 40
Character a r l y e v e r y t h i n g w e o b s r e -e
Milliseconds 29 105 92 60 77 82 49 50 24 61 57 68 110 89 31 67 68 42 48 102 117 66 523 26 241
Character -r e r v e i n t h s -s e w o r l d a n d
Milliseconds 92 48 30 99 26 49 47 120 49 49 84 130 185 68 66 67 41 66 26 86 41 73 34 52 63
Character u n i v e r x e s , -, -s -e s e , -, -e -s -x s e , a
Milliseconds 49 86 112 63 49 43 183 20 0 65 206 103 97 84 24 63 196 92 124 103 47 33 52 82 26
Character n d p o w e e r -r -e r f u l m o d e r n i n
Milliseconds 51 59 24 127 95 67 4 150 0 315 84 49 127 23 134 49 94 106 64 68 60 53 40 93 103
Character s t r u m e n t s h e l p u s s e e m o r
Milliseconds 53 151 39 43 114 52 58 52 401 112 85 20 31 125 200 150 66 51 156 137 101 33 82 116 42
Character e a n d m o r e . I n t h i -i i s s e c
Milliseconds 24 67 69 56 52 41 66 133 50 33 34 89 88 124 25 51 64 117 257 250 66 66 67 133 0
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 62 75 89 104 45 44 25 74 76 92 67 26 87 69 85 65 41 76 58 52 57 33 66 78 117
Character a s o f a v e r a g e a n d i n s a -a t a
Milliseconds 23 60 124 83 67 60 49 108 53 122 50 133 238 96 49 59 51 68 82 107 208 219 288 67 20
Character n t e -e a n e o u s r a t e s o f c h a n g
Milliseconds 47 91 132 442 85 116 118 214 110 45 65 72 43 108 41 27 68 114 60 68 64 65 94 0 48
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 60 93 66 26 82 66 67 43 49 141 35 67 66 43 65 49 17 75 34 52 65 66 44 47 36
Character c l i o s e l y -y -l -e -s -o -i o s e l y r e l a
Milliseconds 48 93 30 110 0 42 19 82 99 109 91 130 128 92 133 248 60 26 66 92 65 94 38 45 107
Character t e e d t o - -o -t - -d -e d t o t h e s l
Milliseconds 48 28 107 0 67 86 34 33 238 102 108 108 116 107 44 93 76 30 68 41 73 37 90 44 72
Character o p e o f a c u r v e a t a p o i n t
Milliseconds 109 108 184 0 165 77 65 86 48 108 92 86 130 25 68 68 39 52 124 69 114 107 93 106 48
Character P o n t h e c u r v e . W e g i v e r
Milliseconds 69 134 86 66 133 24 60 48 75 44 100 91 49 154 70 69 84 67 139 61 82 51 66 50 41
Character p -p - -r p r e c i s e d e c e l -l -e -c v e l
Milliseconds 0 108 200 110 90 93 80 27 59 76 130 383 38 73 110 37 114 47 67 284 114 87 66 24 25
Character o p m e n t s o f t h e s e i m p o r t a n
Milliseconds 130 87 140 60 48 65 45 67 67 40 74 67 40 45 157 25 60 66 108 136 72 109 117 84 25
Character t c o n c e p t s i n t h e n e x t x h
Milliseconds 40 106 47 63 110 51 47 66 61 66 50 84 141 60 0 92 23 91 167 52 133 23 125 161 50
Character -h -x c h a p t e r r , - -, -r , b u t f o r
Milliseconds 262 87 96 45 66 60 67 67 25 49 107 43 236 96 110 91 23 176 110 49 43 83 100 16 39
Character n o w w e u s e a n i n f o r m a l a p
Milliseconds 92 126 45 73 109 18 73 156 77 27 56 58 52 66 82 99 102 47 87 73 44 146 96 65 72
Character p r o a c h s o y o u w i l l s e e h w
Milliseconds 103 68 108 66 25 91 23 85 68 42 91 61 47 67 53 45 127 91 40 44 135 92 23 108 140
Character o t h e -e -h -t - -o -w o w t h e y l e a d n
Milliseconds 0 62 65 53 16 264 108 111 114 109 93 131 51 41 66 43 42 69 26 104 66 26 92 17 66
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 51 41 67 66 23 62 90 63 113 154 54 83 110 65 51 66 41 26 117 99 51 155 61 116 23
Character o f t h i s c h a p t e r , h -h t h e l
Milliseconds 43 84 48 44 73 48 123 22 45 88 44 67 82 75 67 90 43 69 130 289 87 67 47 44 86
Character i m i t . T h e i d e a o f a l i m i t
Milliseconds 114 110 132 67 96 61 67 86 49 65 84 25 132 42 26 91 67 44 41 67 90 126 98 133 51
Character p l a y s a f o u n d a t i o n a l r o l
Milliseconds 58 91 85 67 107 51 58 73 61 76 57 115 92 43 73 68 64 103 116 92 42 66 67 91 125
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 50 42 114 0 111 19 114 66 41 134 109 23 87 66 26 33 105 46 129 110 60 53
WPM Timing
Seconds WPM
1.65 145.56
3.3 131
4.95 109.17
6.6 118.26
8.24 119.36
9.89 123.72
11.54 117.48
13.19 121.9
14.84 119.68
16.49 120.08
18.14 119.75
19.79 122.51
21.44 119.8
23.08 123.72
24.73 122.27
26.38 123.27
28.03 119.87
29.68 119.27
31.33 121.42
32.98 119.72
34.63 121.64
36.27 118.1
37.92 117.71
39.57 118.57
41.22 119.06
42.87 119.24
44.52 121.57
46.17 122.42
47.82 120.71
49.47 120.81
51.11 123.72
52.76 121.45
54.41 119.75
56.06 120.73
57.71 121.43
59.36 121.7
61.01 120.58
62.66 120.85
64.31 121.86
65.95 121.36
67.6 121.06
69.25 121.82
70.9 122.88
72.55 121.24
74.2 122.59
75.85 123.72
77.5 123.57
79.14 124.48
80.79 125.06
82.44 125.76