HW_09-10-F - ChE 348 Homework # 9 _Due: Thursday, 11...

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ChE 348 Homework # 9 ___________________________________________Due: Thursday, 11 November 2010 1. Evaluate by hand the following double integral: ( ) ∫∫ + 1 1 2 0 3 2 2 2 dxdy xy y x (a) analytically; (b) using a multiple application trapezoidal rule, with n = 1; (c) using single applications of Simpson’s rule. For (b) and (c), compute the percent relative error. 2. Evaluate by hand the following triple integral: ( ) dz dxdy xy x ∫∫∫ −− 2 2 2 0 1 3 3 3 (a) analytically; (b) using a multiple application trapezoidal rule, with n = 2; (c) using single applications of Simpson’s rule. For (b) and (c), compute the percent relative error. 3. Prepare a program for the trapezoidal rule. With it, prepare a table of values of T n (f) for n = 2, 4, 8 for the following integrals.
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This note was uploaded on 11/28/2010 for the course CHE 348 taught by Professor Chelikowsky during the Spring '08 term at University of Texas at Austin.

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