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Problem 3. Consider the following function f (x, y) = {(x -t)2 + (y-s)?be-+2-> dids, R2 where r and y satisfies the equation + =1.

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Problem 3. Consider the following function f (x, y) = {(x -t)2 + (y-s)?be-+2-> dids, R2 where r and y satisfies the equation + =1. 2 Find the minimum and maximum of f. Hint: The improper integral in R is defined by integrating over a disk of radius R when R- co.Problem 5. Let f be a continuous function. Show the following relation: For the sake of simplicity, assume that r 20, y 20, and z 2 0

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