🏎️Zermist (noquit) (zermist)

Race #4576

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Official speed 160.38 wpm (64.65 seconds elapsed during race)
Without ending ping 161.38 wpm (251 ms delay sending score to TypeRacer’s server)
Timerless 162.07 wpm (273 ms elapsed before first character typed; 64.12 seconds elapsed during race)
Timerless minus one 161.88 wpm, ignoring the first character typed
Race Start November 29, 2023 5:28:58am UTC
Race Finish November 29, 2023 5:30:03am UTC
Outcome Win (1 of 3)
Accuracy 99.0%
Points 433.02
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 us a is a tool that helps us understand how a chancge 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 wolrld and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous trates of change, and show that they wer care closely related to the slope of a curve at a point P on the curve. We give precise developments of these important concep[ts ts in the next cahhapter, 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.
Timing
Character C a l c u l u s u s a $i -s - -a - s a t o
Milliseconds 273 103 84 55 166 137 73 134 48 314 78 33 88 39 273 0 0 0 0 88 65 91 61 67 44
Character o l t h a t h e l p s u s u n d e r s t a
Milliseconds 103 103 86 44 32 56 48 48 76 28 76 44 62 17 96 71 27 87 41 40 117 35 101 59 67
Character n d h o w a c h a n c -c g e i n o n e
Milliseconds 61 33 66 53 52 43 41 171 70 77 135 68 76 287 179 87 26 31 49 49 52 89 25 80 33
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 148 106 68 76 70 74 67 114 37 103 77 105 87 44 86 67 30 60 85 63 65 49 49 100 49
Character c h a n g e i n a n o t h e r . H o w d o
Milliseconds 87 42 102 51 90 49 12 48 41 69 25 80 16 49 32 77 26 70 67 76 111 91 59 70 74
Character e s t h e s p e e d o f a f a l l i n g
Milliseconds 48 22 48 106 14 49 31 98 109 67 98 100 51 75 63 59 95 65 101 28 48 78 88 25 66
Character o b j e c t c h a n g e a s a f u n c t
Milliseconds 58 45 78 75 78 120 24 67 164 59 109 51 77 44 14 110 72 51 93 75 93 96 42 48 50
Character i o n o f t i m e ? H o w d o e s t h e
Milliseconds 50 35 32 61 88 75 50 78 33 23 79 88 107 49 116 50 59 54 93 51 16 65 126 32 40
Character l e v e l o f w a t e r i n a b a r r
Milliseconds 64 92 106 59 47 76 11 322 54 40 88 68 60 40 32 49 55 41 69 383 130 50 49 125 136
Character e l c h a n g e a s a f u n c t i o n o
Milliseconds 58 96 66 29 103 59 51 55 68 33 104 39 57 71 81 55 87 52 32 16 55 32 40 40 121
Character f t h e a m o u n t o f l i q u i d p o
Milliseconds 61 49 95 24 64 12 88 72 131 49 79 50 55 42 77 27 86 42 117 50 49 101 27 92 207
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 45 77 50 102 80 210 32 57 62 69 66 96 88 342 136 252 67 56 45 111 49 132 10 303 71
Character g e o c c u r r i n g i n n e a r l y e v
Milliseconds 90 42 23 119 79 97 66 70 106 41 22 70 26 86 17 57 113 47 50 16 86 79 18 102 50
Character e r y t h i n g w e o b s e r v e i n t h
Milliseconds 94 33 68 99 42 48 40 39 71 78 44 64 23 127 90 58 32 117 50 22 79 33 40 73 16
Character e w o l -l r l d a n d u n i v e r s e , a
Milliseconds 49 42 107 67 109 197 243 58 76 44 49 83 45 59 98 50 65 64 32 60 105 42 59 62 78
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 56 41 78 42 40 41 32 16 125 59 47 49 109 50 94 120 50 67 62 94 24 67 24 99 43
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 116 73 51 78 68 24 273 45 31 33 60 71 67 38 106 25 119 25 88 32 17 40 50 54 58
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 68 17 64 33 56 50 30 85 95 138 110 80 43 58 54 58 101 50 156 53 74 29 66 130 53
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 56 68 124 32 47 91 54 93 87 68 32 47 102 26 31 40 100 28 128 65 22 79 103 52 51
Character a v e r a g e a n d i n s t a n t a n e o u s
Milliseconds 72 101 84 89 52 101 40 68 98 90 42 32 95 49 84 36 78 96 202 80 56 204 95 45 67
Character t -t r a t e s o f c h a n g e , a n d s
Milliseconds 28 111 231 52 47 94 26 38 34 57 70 51 90 71 70 47 78 17 57 49 60 84 78 58 56
Character h o w t h a t t h e y w e r c $a -e -r - -c r
Milliseconds 80 47 31 41 94 25 41 75 74 59 40 58 221 107 92 41 40 33 118 449 0 0 0 0 192
Character e c l o s e l y r e l a t e d t o t h e
Milliseconds 41 40 110 26 102 42 31 49 104 32 142 390 106 67 39 40 100 18 96 67 32 55 40 32 47
Character s l o p e o f a c u r v e a t a p o i
Milliseconds 49 39 113 48 70 33 50 56 60 191 87 111 63 84 119 28 65 95 48 50 116 17 125 28 32
Character n t P o n t h e c u r v e . W e g i v
Milliseconds 75 94 21 137 159 66 48 32 49 47 23 57 75 72 61 123 36 40 127 82 134 69 82 51 75
Character e p r e c i s e d e v e l o p m e n t s o f
Milliseconds 36 49 67 44 57 118 57 76 29 56 118 96 66 276 106 135 9 157 96 45 79 57 31 87 49
Character t h e s e i m p o r t a n t c o n c e p [ t
Milliseconds 61 94 54 100 77 55 32 150 25 57 57 38 102 52 47 64 32 94 50 23 88 119 271 0 87
Character s - -s -t -[ t s i n t h e n e x t c a h -h
Milliseconds 45 30 199 94 110 108 80 9 48 40 33 49 47 32 47 25 84 61 39 47 67 62 190 9 189
Character -a h a p t e r , b u t f o r n o w w e u
Milliseconds 131 135 42 48 65 73 30 63 58 78 57 56 55 135 65 57 31 49 57 283 81 74 58 50 95
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 45 57 57 107 98 14 416 44 40 80 64 65 47 92 60 65 73 70 115 71 70 31 40 84 52
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 57 60 43 49 48 40 32 64 100 80 51 79 25 104 64 75 13 64 23 94 18 67 63 23 95
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 34 48 65 64 179 60 48 80 63 49 31 87 49 49 101 67 44 60 39 48 33 100 28 94 42
Character i d e a o f t h i s c h a p t e r , t h
Milliseconds 15 127 40 96 50 31 87 26 68 69 30 75 45 49 103 85 79 61 158 41 40 66 50 76 41
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 32 48 47 86 74 74 122 45 100 80 225 59 56 82 62 91 53 39 93 81 30 79 53 66 107
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 90 66 111 25 31 40 64 49 256 55 75 71 87 39 32 95 10 72 56 32 39 48 92 45 83
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 121 88 100 80 56 65 31 103 65 38 57 25 56 47 57 48 83 28 95 83 236 105 50 74 54
WPM Timing
Seconds WPM
1.29 83.53
2.59 88.17
3.88 129.94
5.17 127.62
6.46 133.65
7.76 139.22
9.05 148.5
10.34 153.14
11.64 154.69
12.93 157.78
14.22 160.31
15.52 160.87
16.81 157.07
18.1 160.43
19.39 162.73
20.69 160.68
21.98 157.24
23.27 157.27
24.57 159.25
25.86 159.64
27.15 159.55
28.44 160.73
29.74 161.41
31.03 163.2
32.32 163.35
33.62 164.21
34.91 163.97
36.2 162.09
37.49 163.22
38.79 163.04
40.08 161.07
41.37 160.39
42.67 160.31
43.96 161.06
45.25 161.23
46.55 160.1
47.84 160.54
49.13 159
50.42 158.73
51.72 158.48
53.01 157.78
54.3 157.78
55.6 159.08
56.89 159.47
58.18 160.67
59.47 160.81
60.77 160.74
62.06 160.68
63.35 161.19
64.65 160.38