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Question 9 Not yet answered Marked out of 60.00 Flag question Workout Problem (60 points) Question 1 [30 points] a. [15 points] Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) = xy subject to the constraint x2 + 2y = 1 b. [5 points] For each of the extreme value(s) found in part (a) check if it is a maximum or a minimum. justify your response by calculations. c. [10 points] Compute the integral / S ydydx , where 0