(ginoo75)

Race #84779

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Official speed 152.93 wpm (67.80 seconds elapsed during race)
Without ending ping 153.68 wpm (333 ms delay sending score to TypeRacer’s server)
Timerless 153.72 wpm (17 ms elapsed before first character typed; 67.45 seconds elapsed during race)
Timerless minus one 153.55 wpm, ignoring the first character typed
Race Start December 30, 2023 11:21:44pm UTC
Race Finish December 30, 2023 11:22:52pm UTC
Outcome No win (4 of 13)
Opponents 1. mth_quitless (159.03 wpm)
2. pastashapes (158.90 wpm)
3. syrupsandwich (155.91 wpm)
5. pokenonquit (152.27 wpm)
6. primalknight (151.15 wpm)
7. keegant (149.00 wpm)
8. hospitalforsouls2 (137.24 wpm)
9. charlieog (135.98 wpm)
10. jlachney (121.19 wpm)
11. zak389 (113.09 wpm)
12. jepslol (112.64 wpm)
Accuracy 98.8%
Points 412.91
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 alcuCalculus is a tool that helps us understand how a change in one quantity is rleatrelated to a change in another. How does the speed of a falling object chang ae 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, ando 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 prceiprecise 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 fo undafouundational role throughout calculus.
Timing
Character a l c u -a -l -c -u C a l c u l u s i s a t o o
Milliseconds 17 51 85 111 296 0 0 0 209 127 46 118 84 92 376 91 124 84 58 85 67 83 63 52 126
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 131 37 90 42 48 79 31 49 83 70 49 73 62 45 63 72 61 46 18 61 89 74 92 59 42
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 85 65 45 33 29 68 83 78 47 33 101 49 71 36 28 73 32 75 101 36 48 35 88 64 104
Character n t i t y i s r l e a t -r -l -e -a -t r e l a t e
Milliseconds 52 109 43 138 9 78 98 59 73 67 24 18 168 66 181 0 0 0 0 68 50 66 84 35 66
Character d t o a c h a n g e i n a n o t h e r .
Milliseconds 92 47 76 17 111 25 105 54 34 79 67 62 65 34 51 29 85 65 35 58 78 40 85 63 35
Character H o w d o e s t h e s p e e d o f a
Milliseconds 81 84 117 41 76 85 66 93 32 48 93 27 48 60 82 40 95 127 32 71 58 91 39 62 92
Character f a l l i n g o b j e c t c h a n g a -a - e
Milliseconds 20 58 43 132 41 26 40 50 98 19 190 77 34 148 50 100 36 66 73 35 108 25 332 111 81
Character a s a f u n c t i o n o f t i m e ? H
Milliseconds 59 73 69 58 77 97 54 99 155 18 160 40 24 125 10 135 39 58 74 49 35 50 151 75 82
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 134 52 80 76 40 86 33 32 85 25 74 41 42 100 58 93 41 74 88 21 100 58 62 83 56
Character r i n a b a r r e l c h a n g e a s a
Milliseconds 84 43 70 37 73 71 100 41 73 78 196 51 72 104 97 68 84 81 21 66 50 89 25 100 76
Character f u n c t i o n o f t h e a m o u n t o
Milliseconds 86 7 101 141 16 168 63 24 120 52 96 79 72 49 8 76 66 69 40 158 25 125 10 100 81
Character f l i q u i d p o u r e d i n t o i t ?
Milliseconds 80 64 35 48 92 91 49 60 86 105 50 41 61 97 92 51 65 34 67 57 88 54 83 153 155
Character W e s e e c h a n g e o c c u r r i n g i
Milliseconds 69 207 74 68 58 125 67 83 42 76 75 33 61 204 127 251 183 131 69 150 85 47 27 75 64
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 33 61 98 36 82 82 46 90 81 59 57 100 20 64 77 41 19 114 37 91 70 84 44 83 32
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 59 127 57 126 47 26 68 56 69 73 32 68 68 91 16 74 69 94 58 67 72 60 56 78 49
Character i v e r s e , a n d o -a -n -d -o - a n d p o w
Milliseconds 130 61 78 111 87 89 29 248 148 59 104 52 26 376 0 0 0 0 155 82 80 58 104 14 56
Character e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 145 39 144 44 46 82 77 74 0 98 77 69 98 66 45 31 33 142 58 133 54 96 36 81 58
Character h e l p u s s e e m o r e a n d m o r e
Milliseconds 93 100 74 52 90 91 119 92 83 65 142 75 36 50 72 20 64 84 60 42 65 84 25 42 48
Character . I n t h i s s e c t i o n w e i n t r
Milliseconds 77 64 112 139 44 65 67 25 41 85 80 176 75 132 59 34 133 41 67 52 59 63 49 44 132
Character o d u c e t h e i d e a s o f a v e r a g
Milliseconds 80 99 75 95 78 48 54 47 53 72 77 43 128 61 43 80 77 52 64 59 83 56 38 114 51
Character e a n d i n s t a n t a n e o u s r a t e s
Milliseconds 53 47 74 67 66 59 65 25 28 82 83 10 123 75 278 166 117 33 76 75 89 75 70 66 132
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 61 50 62 86 74 40 58 100 29 50 92 64 68 50 51 83 50 81 25 62 67 79 34 68 74
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 17 99 38 116 47 59 90 44 47 60 81 78 132 34 57 52 64 86 32 45 50 105 56 68 75
Character t o t h e s l o p e o f a c u r v e
Milliseconds 68 89 21 92 48 50 36 83 42 54 142 135 52 64 75 51 82 50 85 65 59 95 149 58 64
Character a t a p o i n t P o n t h e c u r v e
Milliseconds 67 81 77 50 108 65 43 142 36 43 49 106 149 67 52 72 52 44 51 46 70 71 59 141 38
Character . W e g i v e p r c e i -p -r -c -e -i p r e c i
Milliseconds 73 68 91 147 75 87 65 84 40 56 84 53 150 65 44 388 0 0 0 0 266 44 48 126 118
Character s e d e v e l o p m e n t s o f t h e s e
Milliseconds 66 52 75 67 64 110 49 35 131 25 145 56 107 63 48 40 98 59 67 62 22 37 137 47 53
Character i m p o r t a n t c o n c e p t s i n t h e
Milliseconds 67 41 100 30 41 138 93 16 75 67 85 34 48 52 63 86 66 74 43 74 42 69 32 50 41
Character n e x t c h a p t e r , b u t f o r n o
Milliseconds 59 73 37 163 38 72 140 109 61 109 45 61 90 66 92 93 41 40 59 75 70 68 47 66 25
Character w w e u s e a n i n f o r m a l a p p r
Milliseconds 59 84 75 64 43 109 49 51 54 179 84 92 90 41 42 126 570 112 71 88 103 35 97 127 42
Character o a c h s o y o u w i l l s e e h o w
Milliseconds 83 70 77 61 97 34 85 71 35 95 26 64 65 42 34 109 51 83 67 191 89 93 39 44 51
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 75 31 101 60 9 33 98 58 92 34 87 41 64 118 24 57 152 154 37 91 53 55 84 69 64
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 64 61 48 69 106 22 46 94 48 145 49 34 112 29 98 34 40 26 42 61 55 58 100 69 66
Character e r , t h e l i m i t . T h e i d e a o
Milliseconds 66 92 51 122 60 50 52 68 53 46 140 51 55 119 58 94 75 81 69 39 73 125 64 6 109
Character f a l i m i t p l a y s a f o u n d a
Milliseconds 58 75 72 77 40 45 91 75 66 94 71 36 48 149 53 58 71 102 50 103 22 28 126 25 87
Character -u -n -d -a f o u -f -o -u - u n d a t i o n a l r o l
Milliseconds 226 0 0 0 150 83 18 233 0 0 133 176 149 74 102 101 82 51 41 110 183 76 124 56 133
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 36 74 34 54 87 74 15 62 73 150 24 66 96 90 99 44 105 70 71 137 100 46
WPM Timing
Seconds WPM
1.36 53.1
2.71 88.5
4.07 123.9
5.42 146.03
6.78 136.29
8.14 146.03
9.49 151.72
10.85 157.09
12.2 149.47
13.56 149.57
14.92 152.06
16.27 154.14
17.63 154.54
18.98 156.14
20.34 156.35
21.69 155.43
23.05 153.05
24.41 153.4
25.76 154.64
27.12 156.2
28.47 152.14
29.83 150.85
31.19 151.61
32.54 152.3
33.9 152.58
35.25 153.18
36.61 154.39
37.97 153.93
39.32 154.42
40.68 155.76
42.03 156.73
43.39 156.54
44.75 156.89
46.1 156.96
47.46 153.74
48.81 154.14
50.17 155.24
51.52 155.58
52.88 156.13
54.24 154.66
55.59 154.77
56.95 155.09
58.3 155.39
59.66 156.29
61.02 156.55
62.37 156.99
63.73 155.91
65.08 153.77
66.44 153.7
67.8 152.93