funny (tesseractbeyond)

Race #8968

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Official speed 130.27 wpm (79.59 seconds elapsed during race)
Without ending ping 130.58 wpm (188 ms delay sending score to TypeRacer’s server)
Timerless 131.08 wpm (302 ms elapsed before first character typed; 79.10 seconds elapsed during race)
Timerless minus one 130.92 wpm, ignoring the first character typed
Race Start May 29, 2023 6:01:19pm UTC
Race Finish May 29, 2023 6:02:39pm UTC
Outcome Win (1 of 4)
Opponents 2. felipe2003 (107.24 wpm)
Accuracy 99.1%
Points 351.72
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 liqiuiuid 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 instantnaneous rates of cahngehange, and show that they are closely related to the slope o f a curve at a point P on the curve. We give precise developments ofg the 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 hcapthapter, 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 302 175 109 107 97 128 160 96 104 93 99 120 120 102 3390 72 127 152 128 72 89 48 78 41 11
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 125 98 135 79 65 71 48 96 73 48 52 123 64 72 113 104 79 96 21 48 59 37 83 80 47
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 113 29 99 49 80 88 51 84 49 48 147 53 119 73 216 87 105 95 110 90 57 169 110 49 63
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 98 102 49 231 15 481 97 111 72 53 48 53 67 92 64 80 52 75 73 79 53 54 61 49 27
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 101 72 79 80 120 64 13 69 182 89 63 125 56 72 72 119 73 59 81 28 83 64 97 76 123
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 125 75 49 28 88 20 112 40 88 98 125 136 53 33 88 75 60 123 81 96 152 103 72 73 71
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 72 81 80 112 63 49 128 48 88 48 111 64 41 168 40 79 21 77 59 54 54 88 52 48 46
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 173 64 280 168 113 103 73 103 37 115 96 53 59 65 49 27 83 136 57 47 89 74 46 95 53
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 115 49 103 39 73 53 53 51 16 90 65 49 143 125 107 74 27 107 88 49 87 80 97 295 136
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 65 111 37 108 56 111 49 30 162 49 102 21 60 93 30 62 56 70 72 49 95 49 112 104 48
Character t o f l i q i u i -i -u -i u i d p o u r e d
Milliseconds 43 72 22 78 48 96 97 76 115 161 151 216 152 152 329 127 97 80 111 176 161 73 79 168 50
Character i n t o i t ? W e s e e c h a n g e o c
Milliseconds 56 48 83 45 60 99 55 183 57 128 167 73 69 146 120 65 103 73 63 97 120 112 74 134 139
Character c u r r i n g i n n e a r l y e v e r y t h
Milliseconds 141 111 104 113 81 45 67 61 48 40 82 80 96 88 71 64 145 48 68 99 21 53 102 65 103
Character i n g w e o b s e r v e i n t h e w o r
Milliseconds 90 49 56 66 92 56 72 87 112 53 107 27 98 71 88 85 59 33 64 84 48 63 64 105 64
Character l d a n d u n i v e r s e , a n d p o w e
Milliseconds 81 81 74 48 56 92 60 308 119 80 58 102 96 98 104 39 28 84 64 79 53 46 35 48 29
Character r f u l m o d e r n i n s t r u m e n t s h
Milliseconds 58 136 67 120 89 82 22 66 142 48 20 29 115 48 68 115 109 71 137 88 96 48 111 89 43
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 124 58 143 49 119 40 119 26 159 111 61 40 48 40 40 100 64 76 76 60 55 48 62 48 110
Character I n t h i s s e c t i o n w e i n t r o
Milliseconds 53 164 108 40 108 52 67 48 89 48 135 104 161 45 63 56 41 39 46 78 55 49 53 53 127
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 94 80 81 52 85 51 44 71 64 48 45 123 145 24 105 32 79 52 76 92 76 64 79 88 88
Character a n d i n s t a n t n -n a n e o u s r a t e
Milliseconds 66 56 103 36 83 57 43 56 120 93 72 88 151 401 103 116 79 110 111 81 73 41 78 96 79
Character s o f c a h n g e -a -h -n -g -e h a n g e , a n
Milliseconds 104 76 33 40 88 91 49 30 153 75 59 644 0 0 0 0 110 65 121 166 96 89 47 82 86
Character d s h o w t h a t t h e y a r e c l o s
Milliseconds 72 61 76 72 43 52 62 55 76 40 96 74 55 67 76 50 17 53 95 72 72 112 77 123 56
Character e l y r e l a t e d t o t h e s l o p e
Milliseconds 56 123 33 124 80 57 58 125 113 76 92 87 96 37 75 48 104 26 67 76 88 143 144 139 0
Character o - f a c u r v e a t a p o i n t P
Milliseconds 53 176 449 72 60 56 91 69 75 84 94 25 113 0 88 84 72 97 135 145 113 71 22 89 136
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 120 169 44 48 72 75 37 83 79 68 117 74 78 136 33 183 152 57 37 147 88 79 73 72 63
Character e c i s e d e v e l o p m e n t s o f g t h
Milliseconds 64 144 96 73 87 96 113 127 112 50 70 136 137 159 42 119 72 111 45 32 108 28 28 88 53
Character e -e -h -t - -g t h e s e i m p o r t a n t c o
Milliseconds 123 192 152 144 152 120 136 89 88 22 117 56 77 48 91 108 128 50 134 104 45 107 88 96 104
Character n c e p t s i n t h e n e x t c h a p t e
Milliseconds 53 45 94 88 72 99 54 56 71 65 20 91 33 79 35 58 124 79 29 92 71 44 120 57 130
Character r , b u t f o r n o w w e u s e a n
Milliseconds 51 24 66 132 43 50 92 79 71 52 97 29 62 25 108 126 174 105 48 59 116 89 29 106 52
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 108 60 93 36 107 80 104 58 51 84 91 132 60 118 49 57 60 52 76 59 49 100 72 29 123
Character w i l l s e e h o w t h e y l e a d n a
Milliseconds 232 75 149 128 35 61 176 124 31 22 43 40 84 60 56 53 58 32 125 35 93 77 62 50 43
Character t u r a l l y t o t h e m a i n i d e a
Milliseconds 112 104 37 123 72 120 49 95 52 84 48 51 57 56 76 57 67 94 39 40 103 36 140 52 100
Character o f t h i s h c a p t -h -a -p -t h a p t e r ,
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Character t h e l i m i t . T h e i d e a o f a
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Character l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 104 119 153 104 88 69 70 181 192 135 90 88 60 84 66 94 95 52 54 57 145 84 96 31 57
Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 104 44 62 95 143 88 81 73 80 66 44 152 44 84 88 64 40 50 158 137 128 80 87 136 144
Character s .
Milliseconds 96 71
WPM Timing
Seconds WPM
1.59 90.47
3.18 52.77
4.78 35.18
6.37 50.89
7.96 75.39
9.55 85.44
11.14 86.16
12.73 97.06
14.33 103.03
15.92 107.8
17.51 111.03
19.1 113.08
20.69 116.56
22.28 119.54
23.88 121.12
25.47 121.56
27.06 117.07
28.65 118.11
30.24 117.84
31.84 120.24
33.43 122.42
35.02 122.68
36.61 125.21
38.2 125.65
39.79 126.95
41.39 128.74
42.98 130.11
44.57 129.51
46.16 129.46
47.75 126.9
49.34 128.65
50.94 129.1
52.53 128.16
54.12 128.38
55.71 128.59
57.3 128.79
58.9 127.55
60.49 126.57
62.08 127.58
63.67 128.54
65.26 128.89
66.85 129.24
68.45 130.09
70.04 131.07
71.63 130.5
73.22 130.29
74.81 130.4
76.4 130.2
78 130.62
79.59 130.27