how 2 type faster? (not_seggie)

Race #20258

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Official speed 154.48 wpm (67.12 seconds elapsed during race)
Without ending ping 155.32 wpm (210 ms delay sending score to TypeRacer’s server)
Timerless 156.47 wpm (490 ms elapsed before first character typed; 66.42 seconds elapsed during race)
Timerless minus one 156.29 wpm, ignoring the first character typed
Race Start April 7, 2024 9:52:42am UTC
Race Finish April 7, 2024 9:53:49am UTC
Outcome Win (1 of 4)
Opponents 2. gokewhoo (142.35 wpm)
3. kendokazoo (102.69 wpm)
Accuracy 98.2%
Points 417.11
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 dunderstand how a change in one quantity is relateed d to a change in another. How does the speped of a ffallinalling object change as a function of time? How does th e level of water in baa barrel change as a function of the amount of liquid poured into it? We see change occurring in enearly 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 a the curve. We give precise developments of thewese important concepts in the next chapter, but for nowe we uow 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 limia limit plays the 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 490 136 47 87 69 97 62 61 29 99 41 46 73 56 47 64 88 288 77 67 97 37 32 65 81
Character e l p s u s d -d u n d e r s t a n d h o w
Milliseconds 17 69 46 84 18 112 92 59 151 264 130 23 21 32 57 97 46 65 33 95 50 86 25 22 40
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 432 42 128 46 75 55 86 16 27 80 30 56 116 21 56 40 104 86 820 91 109 59 98 27 46
Character i s r e l a t e e d - -d -e d t o a c h a
Milliseconds 73 47 30 67 25 62 96 21 148 87 17 153 222 87 89 32 41 76 17 82 24 89 136 69 76
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 50 74 16 49 82 15 64 38 61 23 52 64 39 23 116 64 157 77 62 40 54 66 64 22 16
Character t h e s p e p -p e d o f a f f a l l i n -f
Milliseconds 75 33 62 61 67 64 80 22 338 176 96 114 151 39 29 61 60 67 149 50 73 93 107 23 270
Character -a -l -l -i -n a l l i n g o b j e c t c h a n g e
Milliseconds 0 0 0 0 0 42 39 76 59 27 21 65 70 48 75 40 31 82 54 103 58 88 32 53 27
Character a s a f u n c t i o n o f t i m e ? H
Milliseconds 55 73 25 63 49 79 47 79 24 33 41 53 16 29 53 352 106 48 77 25 24 89 192 86 122
Character o w d o e s t h - e l e v e l o f w a
Milliseconds 88 38 75 45 90 49 21 33 66 31 145 222 50 54 81 48 32 105 39 128 113 36 43 83 42
Character t e r i n b a -a -b a b a r r e l c h a n g
Milliseconds 65 123 88 70 119 26 103 286 354 33 137 118 66 80 93 91 103 48 34 85 154 64 79 21 51
Character e a s a f u n c t i o n o f t h e a m
Milliseconds 31 55 98 15 74 72 63 41 97 5 42 70 42 29 27 80 64 79 40 88 32 71 24 385 64
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 81 29 33 49 32 48 64 37 114 48 98 96 25 68 60 54 225 61 114 117 53 42 68 17 431
Character o i t ? W e s e e c h a n g e o c c u r
Milliseconds 33 103 114 64 140 184 283 126 39 91 24 95 48 120 54 81 16 65 17 48 87 48 104 72 77
Character r i n g i n e -e n e a r l y e v e r y t h i
Milliseconds 107 142 42 80 30 130 32 54 179 208 109 34 31 26 93 92 22 134 17 89 10 126 110 48 27
Character n g w e o b s e r v e i n t h e w o r l
Milliseconds 22 102 90 186 31 105 15 87 105 24 38 81 90 207 191 26 37 74 39 40 57 80 55 48 81
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 71 33 49 36 91 57 52 17 91 34 37 22 170 10 126 23 49 85 51 58 56 30 32 24 24
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 135 48 21 59 111 16 66 24 72 48 81 46 33 24 64 24 256 192 79 71 58 49 55 120 40
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 24 48 55 113 16 116 106 48 146 54 50 31 33 25 45 48 58 71 56 49 24 55 26 86 83
Character I n t h i s s e c t i o n w e i n t r o d
Milliseconds 103 113 54 48 64 23 42 45 79 26 53 52 70 13 28 59 30 22 106 50 22 87 25 39 81
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 71 41 39 97 32 71 43 70 104 11 32 36 271 82 129 46 34 104 53 200 82 52 92 32 49
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 76 98 57 62 48 32 25 40 80 121 85 196 135 128 103 49 55 58 135 81 63 39 39 74 24
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 80 31 175 89 83 76 81 27 92 43 63 71 50 53 162 70 77 101 65 63 88 48 80 40 136
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 102 48 41 56 81 33 5 65 114 70 64 49 7 73 80 25 84 34 76 21 64 99 45 73 87
Character o t h e s l o p e o f a c u r v e a t
Milliseconds 40 46 59 39 57 72 64 94 72 22 66 53 83 15 59 48 77 139 71 65 39 72 78 67 31
Character a p o i n t P o n a - -a t h e c u r
Milliseconds 64 64 80 66 12 97 26 54 33 151 103 81 33 48 88 64 201 95 56 64 42 39 128 54 55
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 154 62 98 54 58 115 62 88 79 40 47 82 56 47 22 91 125 32 27 48 103 47 80 57 54
Character o p m e n t s o f t h e w e -e -w s e i m p o
Milliseconds 92 0 157 59 70 54 43 38 103 42 39 90 76 83 41 72 302 113 48 39 64 65 38 81 41
Character r t a n t c o n c e p t s i n t h e n e x
Milliseconds 40 38 65 48 70 48 131 16 33 63 23 57 72 33 49 135 22 33 48 64 38 28 135 53 66
Character t c h a p t e r , b u t f o r n o w e w
Milliseconds 67 509 128 62 74 56 87 57 71 81 32 88 95 54 51 81 79 51 45 58 31 31 48 32 77
Character e u -o -w -e - -w -e - -u o w w e u s e a n i
Milliseconds 32 66 65 527 0 0 0 0 0 0 0 24 41 63 104 25 73 93 42 24 63 65 55 75 71
Character n f o r m a l a p p r o a c h s o y o u w
Milliseconds 31 64 63 74 81 78 72 62 128 83 100 81 89 111 17 77 83 55 66 70 48 43 39 56 29
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 75 96 104 49 311 25 144 61 75 22 69 44 103 81 48 38 50 96 33 20 44 70 65 53 50
Character u r a l l y t o t h e m a i n i d e a o
Milliseconds 72 73 22 43 101 40 44 98 20 80 40 43 91 43 49 79 25 32 101 65 48 47 34 22 103
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 50 32 117 77 21 57 40 129 54 80 40 73 71 24 91 53 49 64 56 31 103 34 48 109 51
Character . T h e i d e a o f l i m i $a -i -m -i l i
Milliseconds 105 64 150 55 74 36 74 58 39 27 118 98 63 18 168 36 49 81 325 0 0 0 65 43 31
Character m i t p l a y s t h e $a -h -e - f o u n d a
Milliseconds 23 95 66 40 78 39 43 46 145 32 64 64 113 38 354 0 0 0 88 61 42 33 18 90 59
Character t i o n a l r o l e t h r o u g h o u t c a
Milliseconds 64 46 19 23 87 59 54 38 74 110 65 42 137 36 152 59 23 71 11 190 24 81 21 130 37
Character l c u l u s .
Milliseconds 76 70 86 17 139 60 524
WPM Timing
Seconds WPM
1.34 116.22
2.68 138.57
4.03 137.08
5.37 140.8
6.71 125.16
8.05 122.18
9.4 135.37
10.74 138.57
12.08 132.11
13.42 134.1
14.77 138.97
16.11 140.06
17.45 140.29
18.79 134.74
20.13 137.08
21.48 139.68
22.82 140.93
24.16 138.07
25.5 139.74
26.85 138.57
28.19 139.63
29.53 141.41
30.87 144.2
32.22 145.27
33.56 147.33
34.9 150.6
36.24 151.65
37.58 152.3
38.93 151.36
40.27 151.98
41.61 152.55
42.95 154.21
44.3 155.23
45.64 154.61
46.98 154.79
48.32 155.7
49.67 154.88
51.01 155.98
52.35 155.19
53.69 153.09
55.03 153.72
56.38 154.11
57.72 154.26
59.06 155.43
60.4 156.55
61.75 156.84
63.09 156.54
64.43 155.89
65.77 156.36
67.12 154.48