lahmacun (lahmacun228)

Race #34031

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Official speed 119.71 wpm (86.61 seconds elapsed during race)
Without ending ping 119.87 wpm (115 ms delay sending score to TypeRacer’s server)
Timerless 120.73 wpm (618 ms elapsed before first character typed; 85.88 seconds elapsed during race)
Timerless minus one 120.59 wpm, ignoring the first character typed
Race Start March 3, 2024 4:05:06am UTC
Race Finish March 3, 2024 4:06:32am UTC
Outcome Win (1 of 4)
Opponents 2. waterismagnificent (113.97 wpm)
Accuracy 96.9%
Points 323.22
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 calCalculus i as a too l that helps us suunderstand how a change in one quantity is related to a change in another. How does the speed of a falling objcect 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 an d instangtaeneous trrates of change, and show that they are closely related to the slope of a cruve urve at a point P on the curve. We give erprecise developments of these important concepts in the next chpatapter, but for now we use an informal appraocoach so you will see how they lead anonnaturally to the main ide aof a of htis this chapter, the limit. The idea of a limit plasy ys a foundational role thoruhroughout claualculus.
Timing
Character c a l -l -a -c C a l c u l u s i a -a - s a t
Milliseconds 618 93 136 239 117 128 84 96 138 204 109 272 56 43 108 52 116 98 260 111 52 65 95 85 34
Character o o - l t h a t h e l p s u s s u -u -s u
Milliseconds 62 138 201 293 179 107 73 30 102 65 48 55 88 77 76 55 110 47 87 103 89 37 288 109 115
Character n d e r s t a n d h o w a c h a n g e i n
Milliseconds 147 79 128 77 104 84 87 61 112 115 81 51 73 34 133 105 96 75 83 28 59 55 13 72 39
Character o n e q u a n t i t y i s r e l a t e d
Milliseconds 69 163 35 35 69 97 47 107 16 187 31 131 70 117 98 227 96 190 60 69 83 54 39 129 42
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 57 26 100 85 85 35 105 18 83 51 40 35 73 48 69 100 87 49 78 52 83 23 26 85 102
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 88 104 96 70 47 84 26 41 89 59 74 78 54 67 93 118 116 35 69 80 68 25 120 47 79
Character l l i n g o b j c -c e c t c h a n g e a s
Milliseconds 97 156 59 31 41 80 29 76 58 171 277 57 133 84 96 81 75 87 26 42 41 63 101 67 68
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 107 69 40 76 95 64 65 56 9 43 89 93 132 60 100 48 21 58 135 136 56 127 62 86 92
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 52 72 52 31 85 36 89 44 17 104 94 69 187 147 103 74 55 180 101 51 75 80 26 106 57
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 59 88 80 72 110 84 212 120 37 326 191 103 16 100 52 60 43 93 56 80 137 184 125 83 113
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 72 93 11 24 59 95 25 99 72 85 71 0 108 69 99 123 63 144 70 56 82 105 54 115 56
Character q u i d p o u r e d i n t o i t ! - -! ?
Milliseconds 162 59 60 103 109 269 27 66 67 64 109 98 25 52 63 66 98 103 44 284 153 291 100 185 92
Character W e s e e c h a n g e o c c u r r i n g i
Milliseconds 124 111 104 88 116 149 59 112 45 73 88 4 68 46 167 115 131 64 70 144 97 43 43 74 56
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 28 76 100 80 34 14 84 68 108 96 87 98 35 73 72 88 100 84 71 80 82 39 99 93 117
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 201 42 39 125 68 100 80 39 54 71 64 17 83 59 69 75 39 82 83 121 84 60 86 77 120
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 0 54 82 80 71 40 24 150 27 105 64 80 184 32 77 30 35 134 48 46 66 105 32 63 91
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 80 58 93 227 8 101 65 137 44 109 56 79 85 86 101 43 103 40 69 84 80 68 78 250 65
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 120 48 117 33 63 51 57 55 85 59 73 56 37 76 38 60 77 172 228 98 66 49 39 77 54
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 100 43 145 64 42 62 20 112 310 83 72 320 72 68 135 44 116 104 70 110 68 149 26 69 47
Character i d e a s o f a v e r a g e a n - d i n
Milliseconds 71 77 149 42 49 60 81 79 77 147 98 105 57 90 86 88 99 167 100 179 334 79 65 79 61
Character s t a n g -g t a e -e n e o u s t r -r -t r a t e s
Milliseconds 51 72 81 63 102 295 81 75 81 303 117 69 141 80 107 107 198 175 163 118 34 94 73 65 57
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 60 77 59 68 69 50 86 48 25 69 66 68 68 75 67 75 100 70 56 48 61 65 42 91 61
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 64 75 48 76 52 34 98 61 36 91 146 17 136 43 13 142 122 190 148 37 102 121 50 40 109
Character t o t h e s l o p e o f a c r u v e
Milliseconds 105 51 30 120 47 17 75 59 110 60 145 72 67 55 57 61 63 64 88 97 140 12 144 69 98
Character - -e -v -u -r u r v e a t a p o i n t P o n
Milliseconds 162 128 136 141 126 83 58 91 141 111 100 171 334 113 76 164 16 49 51 28 40 151 169 229 55
Character t h e c u r v e . W e g i v e e r -r -e p
Milliseconds 56 52 61 37 57 105 42 104 162 59 62 121 140 84 92 93 54 94 55 85 142 47 234 128 136
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 38 50 156 53 111 58 107 190 152 84 83 78 147 59 133 91 72 64 113 45 53 89 76 81 41
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 44 90 99 38 91 92 13 65 35 172 12 67 160 170 314 29 53 65 114 68 83 81 67 76 68
Character t h e n e x t c h p a t -t -a -p a p t e r ,
Milliseconds 45 91 71 25 72 579 68 115 108 85 83 25 164 0 174 240 112 127 59 89 81 92 46 38 58
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 94 51 97 27 146 45 99 21 78 52 86 63 141 46 86 71 63 47 78 80 96 85 77 74 56
Character o r m a l a p p r a o c -c -o -a o a c h s o y
Milliseconds 515 115 63 161 51 114 92 22 120 62 101 5 210 157 127 132 140 25 113 119 115 208 68 64 98
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 65 73 45 31 62 14 95 64 63 59 132 65 49 37 55 66 45 45 55 32 65 114 68 71 92
Character a n o -o -n -a n -n n a t u r a l l y t o t h e
Milliseconds 47 121 13 60 317 127 143 116 281 247 96 64 41 80 46 39 138 29 65 82 24 83 77 45 61
Character m a i n i d e a o f - -f -o -a - a o f h
Milliseconds 56 26 98 55 60 38 100 50 116 60 0 77 78 68 236 124 142 141 140 49 59 77 91 69 84
Character t i s - -s -i -t -h t h i s c h a p t e r , t h
Milliseconds 0 40 72 63 260 136 139 144 129 56 84 34 50 61 104 14 131 65 118 72 68 45 58 65 58
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 34 65 139 68 76 63 107 89 134 278 52 63 54 61 62 118 46 30 87 72 58 41 116 70 71
Character m i t p l a s y - -y -s y s a f o u n d a t
Milliseconds 92 81 96 59 101 55 113 76 4 160 213 131 132 132 51 61 93 107 65 67 17 125 46 64 70
Character i o n a l r o l e t h o r u h -h -u -r -o r o u g
Milliseconds 41 20 51 166 275 121 141 76 110 25 72 86 44 142 0 55 158 225 126 140 164 62 159 68 64
Character h o u t c l a u -u -a -l a l c u l u s .
Milliseconds 83 94 81 32 85 112 75 8 239 187 129 129 76 93 114 81 393 32 95 71
WPM Timing
Seconds WPM
1.73 20.78
3.46 51.96
5.2 69.28
6.93 74.47
8.66 92.83
10.39 99.3
12.13 109.85
13.86 116.9
15.59 118.54
17.32 122.62
19.05 125.33
20.79 124.7
22.52 124.7
24.25 127.17
25.98 127.47
27.71 123.4
29.45 125.11
31.18 126.24
32.91 128.34
34.64 130.59
36.38 131.3
38.11 132.26
39.84 131.93
41.57 131.63
43.3 130.79
45.04 128.43
46.77 127.26
48.5 129.15
50.23 129.48
51.97 130.01
53.7 127.38
55.43 127.3
57.16 126.59
58.89 126.12
60.63 127.07
62.36 126.81
64.09 124.89
65.82 126.16
67.56 125.59
69.29 124.18
71.02 125.54
72.75 123.71
74.48 123.73
76.22 121.71
77.95 122.39
79.68 122.89
81.41 122.19
83.14 122.1
84.88 121.02
86.61 119.71