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APSC 607: Project 2 Submit date, time and method: 09/27/17 5pm (EST) electronically (i.e. email) You need to submit a report (pdf format) and the individual matlab files. Please compress all the matlab files into one file before you send them. Important general comments: 1) Be careful to make sure that when you use material you didn’t generate yourself to include references. Failure to do so is consider plagiarism and will result in a reduction of the final grade by 50% !!! 2) Do not use “breaks” in your MATLAB functions. These are bad coding practices that make code illegible and I will subtract half the points on the MATLAB component if you use “breaks” or other ways to terminate a loop before exiting the loop. Task Write in Matlab functions to calculate the integral of the following functions using the composite midpoint rule, trapezoidal rule and Simpson’s rule. 2 a) ∫ e 2 x sin(3 x)dx 0 2 b) ∫ x+1 4 dx 0 Choose h and n carefully. What h and n do you need to use for the final result to approximate the analytic solution to within 10-4, 10-8. What is the best tolerance level I can reach? What h and n were needed to reach this tolerance level? What happens if I make h smaller? Would an adaptive scheme be useful for either of these integrals? What if integral boundaries were moved? BONUS points: Implement adaptive composite Simpson’s rule and repeat prior questions. What to turn in Turn in all the MATLAB code that you wrote to reach the final solution. Also turn in a report describing the methods, your results and discuss your findings.
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