mws_com_int_txt_simpson13_examples

mws_com_int_txt_simpson13_examples - 07.03.1 07.03...

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Unformatted text preview: 07.03.1 07.03 Simpson’s 1/3 Rule for Integration-More Examples Computer Engineering Example 1 Human vision has the remarkable ability to infer 3D shapes from 2D images. The intriguing question is: can we replicate some of these abilities on a computer? Yes, it can be done and to do this, integration of vector fields is required. The following integral needs to integrated. 100 ) ( dx x f I where 200 172 , 172 30 , 6778 9 10 8487 2 10 7961 2 10 1688 9 30 ) ( 1 2 3 3 6 x x . x . x . x . x , x f a) Use Simpson’s 1/3 Rule to find the probability. b) Find the true error, t E , for part (a). c) Find the absolute relative true error for part (a). Solution a) ) ( 2 4 ) ( 6 b f b a f a f a b I a 100 b 50 2 b a 200 172 , 172 30 , 6778 9 10 8487 2 10 7961 2 10 1688 9 30 1 2 3 3 6 x x . x . x . x . x , x f 6778 . 9 100 10 8487 . 2 100 10 7961 . 2 100 10 1688 . 9 100 1 2 3 3 6 f 017000 . 6778 . 9 50 10 8487 . 2 50...
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mws_com_int_txt_simpson13_examples - 07.03.1 07.03...

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