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Sp98exF_soln - Sp 98 EGN 3420 FINAL SOLUTIONS Note There...

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Sp 98 EGN 3420 FINAL SOLUTIONS Note: There are only 3 problems . You must do all 3 problems ! SHOW ALL WORK! Problem 1 35 pts Consider the definite integral I where = 3.1 , = 3.9 and ( ) = = z f x dx a b f x a b x ( ) 1 , 1. Use Simpson's Rule with 8 intervals to approximate I. Fill in the table below with f(x i ) rounded to 8 places after the decimal point. Express your answer to 8 places after the decimal point. i x i f(x i ) 0 3.1 0.32258065 1 3.2 0.31250000 2 3.3 0.30303030 3 3.4 0.29411765 4 3.5 0.28571429 5 3.6 0.27777777 6 3.7 0.27027027 7 3.8 0.26315789 8 3.9 0.25641025 2. Use the Gauss Quadrature two point formula to approximate I. 1. Simpsons Rule: h b a n = - = - = 39 31 8 01 . . . I = + + + + + + + + h f x f x f x f x f x f x f x f x f x 3 4 2 0 1 3 5 7 2 4 6 8 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) m r = 0.22957446
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Problem 2 The following data points were obtained experimentally. i x i y i u i = 1/x i z i = 1/y i u i 2 u i z i 1 1 1.6667 1.0000 0.6000 1.0000 0.6000 2 3 3.7500 0.3333
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Sp98exF_soln - Sp 98 EGN 3420 FINAL SOLUTIONS Note There...

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