OTTOMAN TYPIST (ilkerb)

Race #1899

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Official speed 129.57 wpm (80.02 seconds elapsed during race)
Without ending ping 130.11 wpm (332 ms delay sending score to TypeRacer’s server)
Timerless 130.45 wpm (209 ms elapsed before first character typed; 79.48 seconds elapsed during race)
Timerless minus one 130.30 wpm, ignoring the first character typed
Race Start March 12, 2024 8:55:22pm UTC
Race Finish March 12, 2024 8:56:42pm UTC
Outcome Win (1 of 3)
Opponents 2. exalted777 (111.16 wpm)
3. osama_alkhodairy (83.21 wpm)
Accuracy 97.7%
Points 349.85
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 at tool that helps us understand how a chacnnge in one quanittity is related to a chance gge in another. How does the speed of a falling object change a as s a function of time? How does the level of water in a barrel change as a function of the maouamount of liquid poured into it? We see chanfgege ocucuring inring in nearly everythig ng we observe in the wolrld and unviverse, and powerful modern instruments help us see more and more. In this esection 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 PO on the curve .W. We give precise developments of the ise important concepts in the next chapter, but for now we use an informal approach so you will see how the leay lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughotu caut calculus.
Timing
Character C a l c u l u s i s a t -t t o o l t h a t
Milliseconds 209 58 62 84 235 295 130 48 54 49 74 59 67 73 349 93 62 79 107 115 58 40 90 25 54
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 56 275 103 67 38 85 39 72 80 56 69 59 51 84 56 99 69 7 107 63 60 34 61 15 68
Character a c h a c n -n -c n g e i n o n e q u a n i
Milliseconds 86 114 73 127 47 141 25 296 103 128 77 49 33 60 45 79 103 40 90 56 71 98 130 75 87
Character t -t -i t i t y i s r e l a t e d t o a c
Milliseconds 34 258 94 64 81 83 180 41 92 66 45 114 52 81 57 63 61 102 0 129 35 73 66 103 63
Character h a n c e - -e g -g -c g e i n a n o t h e r .
Milliseconds 62 53 90 40 50 33 182 99 221 81 106 47 43 29 49 49 78 72 43 59 58 77 49 51 70
Character H o w d o e s t h e s p e e d o f a
Milliseconds 61 98 61 66 44 63 65 50 122 43 80 53 50 61 70 72 84 129 74 14 94 62 43 308 76
Character f a l l i n g o b j e c t c h a n g e a a
Milliseconds 58 57 56 122 117 56 41 48 45 91 172 41 46 139 51 114 67 62 75 40 40 69 73 103 108
Character -a s - -s - s a f u n c t i o n o f t i m
Milliseconds 130 83 57 94 104 103 95 65 67 108 26 67 108 50 134 9 88 69 63 67 82 82 58 40 45
Character e ? H o w d o e s t h e l e v e l o f
Milliseconds 41 122 159 125 60 78 45 60 47 69 118 55 70 46 64 56 93 66 48 81 55 69 80 28 99
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 65 60 81 80 78 17 99 28 77 26 131 52 46 71 174 54 91 79 31 76 64 75 50 49 326
Character a s a f u n c t i o n o f t h e m a o u
Milliseconds 79 117 80 74 95 18 76 115 42 140 13 85 66 64 77 95 79 69 53 90 51 65 4 97 77
Character -u -o -a -m a m o u n t o f l i q u i d p o u r
Milliseconds 185 91 94 116 108 53 100 80 116 36 75 55 91 43 64 54 311 72 111 49 57 242 232 83 103
Character e d i n t o i t ? W e s e e c h a n f g
Milliseconds 77 95 8 68 50 93 39 124 72 61 108 232 156 157 58 99 131 122 63 90 70 34 111 74 17
Character e -e -g -f g e o c u -u c u r i n g i n -n -i - -g -n
Milliseconds 15 223 112 368 156 47 33 88 85 111 202 96 83 68 63 44 62 45 48 45 176 85 98 113 111
Character -i r i n g i n n e a r l y e v e r y t h i g
Milliseconds 122 75 74 64 55 45 76 49 71 127 65 27 56 48 133 67 104 77 73 52 153 97 86 40 99
Character - -g n g w e o b s e r v e i n t h e w
Milliseconds 65 162 100 194 55 66 57 49 51 53 71 83 117 69 28 89 40 85 26 78 36 84 52 68 56
Character o l -l r l d a n d u n v -v i v e r s e , a n
Milliseconds 52 190 177 98 76 68 52 87 225 111 32 77 44 99 353 92 64 104 63 105 117 77 54 253 56
Character d p o w e r f u l m o d e r n i n s t r u m
Milliseconds 82 41 65 34 52 595 63 110 47 137 66 113 36 53 107 53 48 94 54 57 31 63 118 32 117
Character e n t s h e l p u s s e e m o r e a n d
Milliseconds 83 45 63 150 51 50 100 72 58 215 119 130 82 111 152 133 70 42 54 59 55 43 132 77 79
Character m o r e . I n t h i s e -e s e c t i o n
Milliseconds 47 74 59 61 52 75 65 78 132 60 55 40 50 60 56 240 251 73 108 107 164 45 79 81 55
Character w e i n t r o d u c e t h e i d e a s o f
Milliseconds 68 91 153 141 39 54 120 61 95 90 88 57 57 94 63 71 64 75 59 65 66 106 48 92 45
Character a v e r a g e a n d i n s t a n t a n e o u
Milliseconds 60 49 109 58 91 59 75 36 49 122 89 62 50 84 29 67 52 63 71 66 262 123 104 151 68
Character s r a t e s o f c h a n g e , a n d s h
Milliseconds 113 95 104 47 112 70 157 71 319 133 126 135 83 89 83 49 48 61 50 56 74 55 34 141 65
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 55 58 37 84 69 29 76 35 80 53 62 83 163 46 52 54 64 109 67 130 26 135 80 102 68
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 89 56 55 56 82 63 96 5 201 39 348 116 83 50 64 104 70 148 74 40 49 97 54 74 19
Character c u r v e a t a p o i n t P O - -O o
Milliseconds 104 111 73 94 150 28 59 113 73 60 72 76 48 37 127 66 10 74 120 0 56 269 108 154 87
Character n t h e c u r v e . W -W -. - . W e g i v
Milliseconds 46 68 53 71 56 50 214 78 73 131 39 93 57 71 195 100 116 119 88 49 133 68 70 99 119
Character e p r e c i s e d e v e l o p m e n t s o f
Milliseconds 151 61 191 78 64 128 105 26 126 49 81 73 79 68 28 123 65 147 81 84 40 133 70 87 69
Character t h e i -i - s e i m p o r t a n t c o n c
Milliseconds 67 87 44 53 47 107 282 104 183 120 68 92 127 88 51 13 116 59 92 60 52 172 51 53 48
Character e p t s i n t h e n e x t c h a p t e r ,
Milliseconds 55 64 66 122 35 71 18 72 60 87 58 56 90 57 140 146 45 99 68 57 91 35 83 78 48
Character b u t f o r n o w w e u s e a n i n
Milliseconds 56 114 68 48 52 86 35 99 46 42 60 54 52 106 142 41 92 66 130 30 79 98 84 74 39
Character f o r m a l a p p r o a c h s o y o u w i
Milliseconds 50 91 70 79 72 346 96 51 62 106 46 102 306 73 87 61 77 62 86 67 48 37 70 56 61
Character l l s e e h o w t h e l e a -a -e -l - y l
Milliseconds 123 94 60 75 159 136 64 32 58 51 72 55 55 67 189 107 72 38 127 86 107 112 106 53 90
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 72 37 68 35 187 83 49 72 74 38 55 96 45 47 102 78 59 59 76 60 59 52 86 41 56
Character i d e a o f t h i s c h a p t e r , t h
Milliseconds 55 105 98 72 64 52 109 63 59 76 27 46 94 23 70 78 63 75 61 82 78 14 97 73 66
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 81 57 11 57 145 48 82 80 63 61 51 78 38 101 72 50 38 78 124 68 73 53 86 88 36
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 176 59 90 54 48 51 55 51 147 56 140 88 125 107 60 108 28 73 84 10 77 65 60 302 135
Character r o l e t h r o u g h o t u c a -a -c - -u -t u t
Milliseconds 53 45 112 40 52 71 65 126 53 72 82 78 55 82 14 60 84 48 143 88 98 114 106 124 76
Character c a l c u l u s .
Milliseconds 20 130 27 67 93 82 125 151 49 78
WPM Timing
Seconds WPM
1.6 97.48
3.2 108.72
4.8 132.47
6.4 123.72
8 121.47
9.6 116.22
11.2 126.4
12.8 128.41
14.4 129.14
16 128.22
17.6 131.56
19.2 134.97
20.8 135.55
22.41 131.76
24.01 131.47
25.61 130.75
27.21 127.47
28.81 123.72
30.41 123.13
32.01 122.6
33.61 123.54
35.21 122.02
36.81 121.28
38.41 123.1
40.01 123.27
41.61 123.43
43.21 123.58
44.81 125.33
46.41 125.66
48.01 124.97
49.61 126.74
51.21 127.47
52.81 127.7
54.41 127.91
56.01 127.04
57.61 126.01
59.21 126.46
60.81 125.69
62.41 126.89
64.01 127.85
65.62 128.38
67.22 128.36
68.82 128.34
70.42 127.81
72.02 128.97
73.62 130.08
75.22 130.98
76.82 130.91
78.42 130.38
80.02 129.57