someonefast (someonefast123)

Race #10

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Official speed 129.99 wpm (79.76 seconds elapsed during race)
Without ending ping 130.47 wpm (294 ms delay sending score to TypeRacer’s server)
Timerless 131.31 wpm (508 ms elapsed before first character typed; 78.96 seconds elapsed during race)
Timerless minus one 131.16 wpm, ignoring the first character typed
Race Start May 1, 2024 5:09:15pm UTC
Race Finish May 1, 2024 5:10:35pm UTC
Outcome Win (1 of 5)
Opponents 4. shourya_goddesh (88.77 wpm)
5. jayvng (85.62 wpm)
Accuracy 99.2%
Points 350.97
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 liquid poured into it? We see change occurring in ennearly everything we observer in tobserve in the world an dd universe, and powerful modern instruments help us see mroe ore 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 chaperter, but for now we use an informal approch ach 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 i s a t o o l t h a t h
Milliseconds 508 156 79 107 93 91 97 68 126 31 92 82 50 91 116 65 124 160 80 74 54 44 77 42 44
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 90 55 60 123 71 74 91 68 53 133 80 128 56 84 138 86 47 91 80 68 66 96 333 92 85
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 87 77 90 33 85 47 48 67 85 50 61 61 80 53 137 99 91 62 122 59 115 413 80 62 66
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 85 109 85 55 155 160 72 134 60 92 70 64 60 86 96 59 74 62 33 62 48 36 79 74 44
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 79 54 61 92 52 75 34 79 147 124 89 125 85 54 99 74 79 78 90 32 59 109 51 103 121
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 140 52 112 71 74 35 114 57 47 110 117 60 96 68 36 66 103 45 113 134 127 20 128 36 95
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 45 46 45 59 84 51 107 50 99 64 72 139 16 132 77 50 56 43 78 53 78 81 61 58 75
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 157 86 169 274 42 147 65 92 55 70 81 73 72 56 91 37 52 122 51 78 88 85 39 90 129
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 109 90 79 72 51 72 86 64 12 99 133 91 122 137 104 74 90 37 68 58 51 43 48 188 111
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 83 96 74 72 98 54 139 37 123 72 41 70 45 80 25 97 83 69 42 67 177 132 111 54 138
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 55 38 78 80 42 84 47 98 128 44 96 98 89 50 104 236 103 120 38 47 62 55 68 59 54
Character t ? W e s e e c h a n g e o c c u r r i n
Milliseconds 78 186 124 200 225 111 46 86 117 125 86 57 71 50 54 55 41 71 82 102 105 89 141 97 84
Character g i n e n -n -e n e a r l y e v e r y t h i n
Milliseconds 49 95 38 53 74 75 145 230 135 120 60 44 70 15 73 66 103 250 133 52 87 101 62 48 81
Character g w e o b s e r v e r i n t -t -i -n - -o -b -s
Milliseconds 42 97 73 48 65 108 44 206 52 59 177 133 61 48 59 62 71 51 508 154 0 0 149 0 0
Character -e -r -v -e -r - o b s e r v e i n t h e w o r l
Milliseconds 0 0 0 0 0 0 604 120 256 71 45 197 82 82 51 73 89 37 114 32 85 92 73 66 74
Character d a n d -d - d u n i v e r s e , a n d p
Milliseconds 54 71 123 12 231 24 414 143 75 47 61 135 48 119 112 84 96 67 86 79 42 64 70 61 18
Character o w e r f u l m o d e r n i n s t r u m e n t
Milliseconds 35 55 48 61 138 51 65 81 116 73 70 129 32 95 47 51 67 78 172 114 79 149 71 95 48
Character s h e l p u s s e e m r o e - -e -o -r o r
Milliseconds 78 74 55 94 44 45 60 97 83 74 78 128 134 97 55 92 0 81 87 288 151 155 140 154 49
Character e a n d m o r e . I n t h i s s e c t i
Milliseconds 71 97 73 62 79 60 47 81 59 68 66 83 131 121 80 96 43 22 117 9 151 102 173 106 72
Character o n w e i n t r o d u c e t h e i d e a s
Milliseconds 36 37 49 79 48 60 62 70 55 117 48 132 62 98 147 45 103 75 121 68 65 74 163 72 63
Character o f a v e r a g e a n d i n s t a n t a n
Milliseconds 151 55 83 79 49 103 132 64 97 97 47 79 57 64 68 49 60 74 43 133 101 147 200 238 505
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 128 125 69 52 137 55 97 91 77 91 62 77 73 79 93 30 98 29 31 53 81 78 43 53 78
Character s h o w t h a t t h e y a r e c l o s e
Milliseconds 69 83 100 46 68 104 70 57 66 55 65 103 44 114 25 102 57 53 45 72 109 71 121 88 54
Character l y r e l a t e d t o t h e s l o p e o
Milliseconds 35 96 56 60 62 73 78 85 62 128 72 83 102 56 38 97 49 96 67 86 140 46 94 48 85
Character f a c u r v e a t a p o i n t P o n
Milliseconds 61 72 60 85 109 123 84 196 84 61 102 85 68 58 88 121 45 27 74 47 92 133 71 116 68
Character t h e c u r v e . W e g i v e p r e c i
Milliseconds 61 79 97 48 55 116 54 73 169 67 77 81 138 181 95 86 95 71 66 70 30 115 66 164 67
Character s e d e v e l o p m e n t s o f t h e s e
Milliseconds 109 73 56 116 156 86 60 62 131 31 171 83 85 62 133 25 103 96 135 86 65 49 280 91 132
Character i m p o r t a n t c o n c e p t s i n t h e
Milliseconds 55 158 0 43 84 183 80 79 41 115 73 49 55 90 159 55 84 84 42 57 71 87 24 120 103
Character n e x t c h a p e r -r -e t e r , b u t f o
Milliseconds 90 54 63 158 127 85 92 48 104 64 163 98 251 145 102 73 75 196 40 134 60 104 47 123 59
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 93 47 97 55 77 101 131 86 86 97 65 50 54 97 68 60 61 119 57 113 86 74 78 92 92
Character a p p r o c h - -h -c a c h s o y o u w i l
Milliseconds 41 84 146 92 73 124 82 94 219 141 134 59 116 86 85 73 72 87 100 21 72 66 120 43 129
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 133 62 80 89 141 115 103 37 95 50 138 66 85 50 97 54 55 84 63 37 76 79 74 72 111
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 73 23 110 121 25 149 76 115 42 84 69 59 55 68 78 74 72 46 105 122 66 85 67 67 85
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 152 65 46 79 33 165 131 98 75 106 83 71 62 83 90 70 69 63 49 48 142 70 142 101 68
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 157 158 92 70 51 95 149 77 84 86 60 73 56 91 83 44 144 93 50 85 29 42 73 93 103
Character a f o u n d a t i o n a l r o l e t h r o
Milliseconds 42 71 80 281 95 35 116 67 79 91 55 25 72 74 66 100 69 67 126 134 214 125 82 78 36
Character u g h o u t c a l c u l u s .
Milliseconds 56 91 30 96 56 77 78 93 43 67 230 91 115 86 54 120
WPM Timing
Seconds WPM
1.6 97.79
3.19 124.12
4.79 120.36
6.38 129.76
7.98 123.37
9.57 134.15
11.17 134.33
12.76 135.41
14.36 138.75
15.95 137.66
17.55 138.83
19.14 139.79
20.74 141.19
22.33 140.78
23.93 139.42
25.52 139.64
27.12 137.62
28.71 136.24
30.31 129.07
31.9 126
33.5 125.02
35.09 126.17
36.69 126.58
38.28 127.26
39.88 124.87
41.48 125.57
43.07 126.77
44.67 127.35
46.26 125.29
47.86 126.63
49.45 128.13
51.05 129.06
52.64 129.25
54.24 130.1
55.83 130.03
57.43 129.97
59.02 129.71
60.62 130.26
62.21 128.85
63.81 129.01
65.4 129.53
67 128.24
68.59 128.41
70.19 129.08
71.78 129.72
73.38 130.01
74.97 129.96
76.57 130.08
78.16 130.34
79.76 129.99