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mws_com_int_txt_trapcontinous_examples

# mws_com_int_txt_trapcontinous_examples - Chapter 07.02...

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07.02.1 Chapter 07.02 Trapezoidal 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 0 ) ( dx x f I Where,   200 172 , 0 172 30 , 6778 9 10 8487 2 10 7961 2 10 1688 9 30 0 0 1 2 3 3 6 x x . x . x . x . x , x f a) Use single segment Trapezoidal rule to find the value of the integral. b) Find the true error, t E , for part (a). c) Find the absolute relative true error for part (a). Solution a) 2 ) ( ) ( ) ( b f a f a b I , where 0 a 100 b   200 172 , 0 172 30 , 6778 9 10 8487 2 10 7961 2 10 1688 9 30 0 0 1 2 3 3 6 x x . x . x . x .

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