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Assign3 - AMath 250 ASSIGNMENT 3 Fall 2008 Submit all...

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AMath 250 ASSIGNMENT 3 Fall 2008 Submit all problems by Noon on Tuesday, September 30 th in the drop boxes across from MC4066. All solutions must be clearly stated and fully justified . Comment: The Coffee Problem requires some thought, so start thinking about it early. You will probably find this assignment longer and more difficult than usual. From Problem Set 1 in the Course Notes: From Problem Set 1 in the Course Notes: # 4(iv) # 5 # 6 (ii),(iv),(vi),(vii) Hint for (vii): the method of undetermined coefficients does apply; it may take a couple of tries to guess the right trial function. # 8(a) # 9 Note: (a) and (b) have been done in class for the case v (0) = 0. Hint for (d): Use the chain rule: dv dt = dv dy dy dt . # 16 Hint: Use your result from problem 9c) with v 0 = 0 . Note that you don’t need to find the actual value of α . You will get one equation with one unknown, but this does not necessarily imply that there is a solution. For example, the equation α 2 + 1 = 0 does not have a (real) solution.
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