mws_ind_int_txt_trapcontinous_examples

mws_ind_int_txt_trapcontinous_examples - Chapter 07.02...

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07.02.1 Chapter 07.02 Trapezoidal Rule for Integration-More Examples Industrial Engineering Example 1 A company advertises that every roll of toilet paper has at least 250 sheets. The probability that there are 250 or more sheets in the toilet paper is given by 250 ) 2 . 252 ( 3881 . 0 2 3515 . 0 ) 250 ( dy e y P y Approximating the above integral as 270 250 ) 2 . 252 ( 3881 . 0 2 3515 . 0 ) 250 ( dy e y P y a) Use single segment Trapezoidal rule to find the probability that there are 250 or more sheets. 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 250 a 270 b  2 2 . 252 3881 . 0 3515 . 0 y e y f 2 2 . 252 250 3881 . 0 3515 . 0 250 e f 053721 . 0 2 2 . 252 270 3881 . 0 3515 . 0 270 e f 54 10 3888 . 1 2 10 3888 . 1 053721 . 0 250 270 54 I 53721 . 0 b) The exact value of the above integral cannot be found. For calculating the true error and
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida.

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mws_ind_int_txt_trapcontinous_examples - Chapter 07.02...

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