old quiz 4 b - Consider parabolic coordinates u and v. We...

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Math 2401 Quiz #4 April 11 Tom Morley 8:00 am Open Book and Notes. Carefully explain your proceedures and answers. Calculators allowed, but answers mush be exact. Problem 1 (9 points) Ans
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Problem 2 (9 points) Set up (convert to a ordinary integral) F· dr where the curve is the unit circle + = 1, F(x,y) = - y i + j . Now use Greens Theorem and convert to a double integral. Then Change to polar coordinates. Extra (1 point: Evaluate the last integral) Ans
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Problem 3 (4 points)
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Unformatted text preview: Consider parabolic coordinates u and v. We will only condider the case u 0 , v 0 In terms of these x,y are given by: x = (1/2) (- ), y = uv . Convert the integral dx dy into an integral with respect to u and v. Do not set up either the old or new limits. Extra: 2 points: Suppose this integral (with respect to x,y) is over the region defined by y 0 and y and y . What are the limits on u and v? Ans Created by Mathematica (April 10, 2007)...
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old quiz 4 b - Consider parabolic coordinates u and v. We...

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