tipsyPLC (tipsyplc)

Race #23462

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Official speed 122.91 wpm (84.35 seconds elapsed during race)
Without ending ping 123.36 wpm (309 ms delay sending score to TypeRacer’s server)
Timerless 123.74 wpm (258 ms elapsed before first character typed; 83.79 seconds elapsed during race)
Timerless minus one 123.60 wpm, ignoring the first character typed
Race Start April 3, 2024 1:08:23am UTC
Race Finish April 3, 2024 1:09:48am UTC
Outcome No win (2 of 4)
Opponents 1. tshiknn (132.18 wpm)
3. portiz121803 (87.00 wpm)
Accuracy 99.3%
Points 331.85
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 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 instantaenneous rates of change, and show that they are closely related to the slop of a e orf f a ccruurve 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 informa apl 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 258 117 215 134 106 109 100 136 90 75 66 101 68 73 45 96 122 181 19 45 71 61 51 23 67
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 81 55 72 89 52 47 102 168 86 143 79 143 44 116 114 370 152 78 52 124 46 95 52 100 96
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 37 150 16 117 39 43 52 49 66 67 108 100 216 86 142 132 50 116 102 31 158 90 102 87 73
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 74 166 55 80 87 71 83 127 67 66 133 155 98 114 99 116 57 48 97 51 65 33 65 84 72
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 79 67 82 68 36 86 118 60 124 176 84 71 129 32 117 38 48 68 47 87 30 262 119 69 131
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 137 47 53 81 31 72 80 18 82 81 142 60 41 41 50 82 93 74 74 166 128 64 121 129 76
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 51 125 39 113 81 100 70 64 91 59 70 166 119 202 27 49 20 87 73 96 56 76 54 43 36
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 208 175 126 149 109 94 121 73 73 46 67 87 67 81 51 89 59 133 55 61 104 81 199 84 57
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 84 75 121 48 41 115 41 42 127 85 104 127 83 150 288 132 82 139 92 98 51 39 44 71 119
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 64 90 82 58 74 112 200 98 109 65 29 21 68 94 99 68 85 28 54 69 62 98 41 128 163
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 75 74 67 118 44 75 64 152 89 68 96 114 168 82 99 67 58 127 48 91 43 84 49 83 130
Character t ? W e s e e c h a n g e o c c u r r i n
Milliseconds 119 153 73 150 149 66 98 48 130 66 171 79 58 94 58 42 80 162 158 298 143 140 160 129 64
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 37 76 70 39 84 96 50 45 27 77 83 52 54 112 101 48 46 151 37 49 123 43 66 83 33
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 106 111 215 138 83 49 150 54 115 86 47 66 64 68 73 76 36 79 85 67 71 32 102 97 33
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 70 67 147 30 53 113 65 102 23 140 56 80 89 103 47 152 41 76 44 46 134 50 49 78 89
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 67 117 144 24 97 58 130 41 97 74 123 28 168 100 67 59 59 55 186 124 49 66 136 187 135
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 86 180 44 148 85 32 338 116 64 24 101 138 36 50 92 26 35 30 119 19 190 145 81 67 88
Character i s s e c t i o n w e i n t r o d u c e t
Milliseconds 44 101 86 129 56 149 164 66 85 21 84 60 71 132 165 65 100 147 54 131 108 97 146 131 235
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 65 103 32 47 217 157 62 65 52 70 98 49 83 113 155 101 354 126 65 68 333 88 45 66 69
Character n s t a n t a e n -n -e n e o u s r a t e s o f
Milliseconds 47 53 69 111 68 65 292 318 92 247 122 115 57 98 61 55 95 118 122 91 59 62 15 91 58
Character c h a n g e , a n d s h o w t h a t t h
Milliseconds 51 125 108 53 98 21 62 97 40 63 89 103 66 142 112 63 33 76 65 70 56 74 68 66 67
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 83 86 29 75 68 45 48 149 34 140 74 23 332 199 63 175 79 55 347 112 57 128 67 66 68
Character t h e s l o p o f a - -a - -f -o - e o r
Milliseconds 65 67 20 86 49 108 87 166 102 99 150 99 39 64 114 134 219 129 138 151 159 86 107 91 99
Character f - -f -r f a c c r u -u -r -c u r v e a t a
Milliseconds 0 50 326 124 142 50 30 82 68 84 46 131 124 209 125 295 192 22 166 39 88 199 108 87 36
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 95 113 59 45 63 37 82 170 298 220 80 67 83 87 162 104 101 114 52 149 40 60 62 159 96
Character g i v e p r e c i s e d e v e l o p m e n t
Milliseconds 65 125 162 63 18 82 67 72 45 187 48 100 33 66 138 181 147 65 87 166 48 118 82 114 37
Character s o f t h e s e i m p o r t a n t c o n c
Milliseconds 35 80 86 97 72 80 116 35 145 61 47 133 101 45 85 114 117 80 52 65 86 140 92 65 56
Character e p t s i n t h e n e x t c h a p t e r ,
Milliseconds 145 134 115 136 33 265 60 65 45 47 121 67 94 52 205 110 85 138 108 73 121 75 105 62 73
Character b u t f o r n o w w e u s e a n i n
Milliseconds 62 66 68 106 43 126 148 98 92 43 47 78 91 100 63 69 111 55 48 69 160 115 58 149 62
Character f o r m a a p -p -a - l a p p r o a c h s o
Milliseconds 121 77 118 86 91 140 107 126 371 164 167 189 125 91 117 127 118 105 110 88 95 65 188 135 138
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 79 97 99 86 16 50 69 112 57 76 51 148 26 90 53 33 66 68 48 119 32 85 147 71 65
Character d n a t u r a l l y t o t h e m a i n i
Milliseconds 90 48 48 100 47 169 101 95 17 132 57 66 79 97 82 19 90 59 68 52 98 51 66 40 115
Character d e a o f t h i s c h a p t e r , t h e
Milliseconds 94 127 79 30 232 114 71 80 68 88 78 91 126 66 154 136 76 103 66 49 66 101 51 66 82
Character l i m i t . T h e i d e a o f a l i m i
Milliseconds 50 103 52 99 101 135 75 135 85 61 87 49 120 165 57 32 96 97 48 57 96 131 103 119 101
Character t p l a y s a f o u n d a t i o n a l r o
Milliseconds 604 110 129 20 74 74 103 31 73 97 98 70 48 131 52 65 51 48 33 37 315 136 55 145 95
Character l e t h r o u g h o u t c a l c u l u s .
Milliseconds 178 74 51 66 67 103 32 65 59 73 107 79 49 103 163 55 96 333 130 86 80 176 110
WPM Timing
Seconds WPM
1.69 99.58
3.37 124.47
5.06 120.92
6.75 124.47
8.44 123.76
10.12 129.22
11.81 129.05
13.5 131.59
15.18 132.77
16.87 132.3
18.56 133.2
20.25 131.59
21.93 132.96
23.62 133.11
25.31 132.3
26.99 131.14
28.68 132.63
30.37 132.38
32.05 134.4
33.74 135.14
35.43 134.81
37.12 133.53
38.8 133.91
40.49 133.07
42.18 132.58
43.86 131.59
45.55 129.09
47.24 130.32
48.93 130.73
50.61 130.4
52.3 127.34
53.99 125.14
55.67 122.64
57.36 122.59
59.05 122.75
60.74 122.89
62.42 123.42
64.11 123.35
65.8 123.47
67.48 123.94
69.17 121.79
70.86 121.43
72.54 122.41
74.23 123.18
75.92 123.29
77.61 123.7
79.29 123.49
80.98 123.88
82.67 123.82
84.35 122.91