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hw9 - ASE 311 Engineering computation Fall 2009 Homework 9...

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Unformatted text preview: ASE 311 Engineering computation, Fall 2009, Homework 9 Due: Friday, November 13, 2:00 PM in the lecture room JGB 2.216 Report all work, including any m-files you have written. You may also find the command diary useful in recording your MATLAB session. Please write clearly and be sure to label for which problem each solution is. Please, staple Part I and Part II separately and make sure that your name is written on both parts. Part I 1. [Quadratures] Evaluate the integral uni222B.alt01 4 (1 − u1D452 − 2 u1D465 )d u1D465 (a) analytically (b) with a single application of the trapezoidal rule (c) with a single application of the midpoint rule (d) with a single application of the Simpson’s 1/3 rule Determine the true relative error in percent for each case (b)–(d). 2. [Composite quadratures] Evaluate the previous integral (a) with the composite trapezoidal rule with u1D45B = 2 and u1D45B = 4 (b) with the composite Simpson’s 1/3 rule with u1D45B = 4 Determine the true relative error in percent for each case.Determine the true relative error in percent for each case....
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