(charlieog)

Race #321842

View Pit Stop page for race #321842 by charlieog — Ghost race

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Official speed 135.98 wpm (76.25 seconds elapsed during race)
Without ending ping 136.31 wpm (183 ms delay sending score to TypeRacer’s server)
Timerless 136.58 wpm (150 ms elapsed before first character typed; 75.91 seconds elapsed during race)
Timerless minus one 136.42 wpm, ignoring the first character typed
Race Start December 30, 2023 11:21:44pm UTC
Race Finish December 30, 2023 11:23:00pm UTC
Outcome No win (9 of 13)
Opponents 1. mth_quitless (159.03 wpm)
2. pastashapes (158.90 wpm)
3. syrupsandwich (155.91 wpm)
4. ginoo75 (152.93 wpm)
5. pokenonquit (152.27 wpm)
6. primalknight (151.15 wpm)
7. keegant (149.00 wpm)
8. hospitalforsouls2 (137.24 wpm)
10. jlachney (121.19 wpm)
11. zak389 (113.09 wpm)
12. jepslol (112.64 wpm)
Accuracy 97.9%
Points 367.15
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 qnautuantity 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 eammount of liquor pid poured into it? We see change ocucurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more a. In this section we introduce the idea ofs of eavaavverage and instantaneous rates of change, and show that thehy are chey are closely related to the slop e 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 ifnonformal approach tso you will see how they lead naturally to the man iain idea of this chapter, the limit. The idea of a limit plays a foundational role throughout caculculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 150 42 80 94 105 139 125 137 31 58 178 0 76 56 47 89 105 142 49 58 46 40 56 8 84
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 91 306 383 97 57 46 56 82 102 136 56 144 23 129 39 17 120 55 81 39 42 38 74 63 89
Character c h a n g e i n o n e q n a u t -n -a -u -t u a
Milliseconds 71 55 56 83 94 24 49 46 489 88 98 54 81 67 101 82 103 115 76 553 0 0 0 47 152
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 90 182 96 72 82 62 56 40 64 131 52 49 82 69 41 122 61 123 32 54 56 112 71 74 68
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 101 49 20 85 52 112 0 85 59 64 90 13 80 32 41 33 143 76 83 89 64 71 80 8 48
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 81 15 73 72 104 64 88 144 168 56 42 110 32 42 109 265 194 86 136 136 47 32 82 38 81
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 104 65 126 153 56 128 64 66 86 48 39 48 81 65 39 105 46 72 82 127 23 169 15 25 40
Character o f t i m e ? H o w d o e s t h e l e
Milliseconds 80 48 39 125 149 78 24 57 193 23 168 144 55 97 64 56 87 16 40 67 22 48 31 57 47
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 137 41 65 79 95 32 96 81 6 114 104 38 132 0 60 57 80 48 186 118 89 128 61 49 41
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 60 77 41 50 68 66 79 62 81 31 115 30 83 61 130 60 156 0 29 40 32 80 48 49 71
Character h e e a m -e -m m o u n t o f l i q u o r p
Milliseconds 26 38 40 80 97 136 489 0 64 144 64 119 49 71 31 120 0 89 105 103 121 78 24 121 72
Character -p - -r -o i d p o u r e d i n t o i t ? W e
Milliseconds 467 85 105 111 193 94 65 31 408 65 79 32 121 32 39 40 72 56 49 56 71 179 22 97 143
Character s e e c h a n g e o c u -u c u r r i n g i
Milliseconds 88 55 41 105 79 56 65 55 106 13 32 48 41 121 200 278 49 104 55 121 71 75 21 65 32
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 55 64 104 185 47 26 63 39 49 120 146 143 30 40 112 74 112 31 42 69 72 32 48 89 74
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 142 25 48 143 48 79 32 41 72 55 49 39 118 0 18 9 103 56 80 32 40 81 31 97 139
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 60 57 176 48 167 84 93 56 23 89 39 67 45 145 48 23 24 122 39 47 32 161 88 64 112
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 23 26 54 153 72 80 95 114 71 155 61 80 33 46 65 47 64 104 24 117 60 79 65 63 152
Character e m o r e a n d m o r e a -a - . I n t
Milliseconds 176 250 121 69 40 27 32 78 32 376 65 78 49 31 26 32 54 169 247 176 48 139 206 72 63
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 81 17 38 26 95 39 122 181 25 33 24 65 38 24 56 142 13 46 255 137 126 81 88 49 55
Character t h e i d e a o f -f -o - s o f e a v a a v
Milliseconds 92 4 48 40 64 75 110 24 91 53 294 218 122 117 93 60 63 32 77 83 121 111 330 177 103
Character -e -a -v -a -v v e r a g e a n d i n s t a n t a n
Milliseconds 510 0 0 0 0 125 141 33 69 90 31 48 47 72 80 24 65 57 71 80 71 57 111 137 160
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 200 129 56 95 65 121 63 94 43 8 40 38 71 24 329 48 63 73 56 32 66 38 23 73 55
Character s h o w t h a t t h e h y a r e c -h -e -h
Milliseconds 57 64 73 38 73 39 80 24 81 32 32 142 0 33 81 24 23 24 42 33 37 130 390 0 0
Character -y - -a -r -e - -c h e y a r e c l o s e l y r e
Milliseconds 0 0 0 0 0 0 0 32 49 80 33 16 38 36 37 80 56 112 31 40 73 55 32 40 48
Character l a t e d t o t h e s l o p - e o f a
Milliseconds 49 60 35 25 121 62 80 58 30 16 73 23 59 45 88 153 56 199 297 63 40 72 49 31 65
Character c u r v e a t a p o i n t P o n t h
Milliseconds 72 48 135 34 239 0 48 49 79 32 79 88 266 198 26 7 23 72 138 103 152 39 83 70 48
Character e c u r v e . W e g i v e p r e c i s e
Milliseconds 23 64 105 80 95 145 23 32 41 104 175 65 65 103 64 39 49 47 128 49 128 96 56 47 56
Character d e v e l o p m e n t s o f t h e s e i m p
Milliseconds 90 135 88 65 47 181 3 175 81 79 65 56 42 46 128 112 114 45 32 107 5 106 63 241 158
Character o r t a n t c o n c e p t s i n t h e n e
Milliseconds 64 288 129 56 57 54 72 161 82 78 104 40 48 119 98 97 38 56 56 72 64 48 31 57 80
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 136 236 23 142 47 81 120 102 113 32 71 40 95 66 103 50 95 71 82 47 24 39 35 69 89
Character e u s e a n i f n o -f -n -o n f o r m a l a
Milliseconds 8 88 200 96 32 52 67 51 46 96 97 12 116 519 0 0 56 64 74 79 63 79 281 71 73
Character p p r o a c h t -t s o y o u w i l l s e e
Milliseconds 121 79 96 96 120 120 48 41 154 253 105 73 54 96 97 30 32 62 51 15 89 58 45 32 113
Character h o w t h e y l e a d n a t u r a l l y
Milliseconds 47 48 32 16 73 56 56 56 63 41 106 37 57 89 46 50 63 64 72 56 48 40 138 54 40
Character t o t h e m a n i -a -n - -i a i n i d e a
Milliseconds 57 80 40 65 55 23 57 298 30 210 127 111 448 0 0 0 114 37 41 57 87 151 146 38 104
Character o f t h i s c h a p t e r , t h e l i m i
Milliseconds 41 67 85 72 32 23 73 40 80 32 105 103 63 89 39 72 65 121 58 36 57 64 64 136 127
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 72 81 32 82 78 47 78 45 38 136 96 72 91 93 64 64 85 28 71 131 117 49 86 41 107
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 110 95 88 48 76 36 100 63 28 141 20 80 32 50 21 16 49 98 54 47 82 279 121 82 77
Character h r o u g h o u t c a c u -u -c l c u l u s .
Milliseconds 73 78 41 39 106 47 111 49 39 74 87 104 281 216 239 91 150 39 120 111 137 113 54
WPM Timing
Seconds WPM
1.52 133.78
3.05 125.91
4.57 139.02
6.1 127.87
7.62 118.04
9.15 125.91
10.67 134.9
12.2 131.81
13.72 133.78
15.25 137.71
16.77 140.22
18.3 140.99
19.82 144.67
21.35 141.08
22.87 135.88
24.4 134.27
25.92 136.09
27.45 135.09
28.97 136.26
30.5 139.29
32.02 140.15
33.55 141.29
35.07 140.96
36.6 138.04
38.12 139.13
39.65 138.32
41.17 134.94
42.7 133.5
44.22 132.96
45.75 135.09
47.27 134.28
48.8 136.48
50.32 135.92
51.85 136.09
53.37 136.47
54.9 136.84
56.42 136.12
57.95 136.88
59.47 136.8
61 136.92
62.52 135.7
64.05 135.46
65.57 137.25
67.1 136.1
68.62 136.05
70.15 136.51
71.67 137.13
73.2 137.88
74.72 137.63
76.25 135.98