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Spring 2012 MATLAB Assignment 9 Work the following problems (NOTE: these are RELATED TO the corresponding page and problem number from Gilat. Do NOT work the problems from the actual Lab Manual, or you will receive NO CREDIT!) 1. g313x02: Determine the positive roots of the equation e−0.2x cos(2x) = 0.15x2 − 1. 2. g315x12: A paper cup shaped as a frustrum of a cone with r2 = 1.3r1 is designed to have a volume of 240 cm3 . Determine r1 and the height of the cup such that the least amount of paper will be used for making the cup. ˆ 3. g316x17: Use MATLAB to calculate 1 4. g319x31: Solve 6 3 + e0.5x dx. 0.3x2 + 2.5x + 1.6 √ dy √ = 0.6x y + 0.5y x for 0 ≤ x ≤ 4 with y(0) = 2.5. Plot the solution. dx 5. Also work s633x23 from the Stewart text. 1