Problem 3. Use the method of Lagrange multipliers to find the indicated еxtremum. You may assuтe the extreтит еxists. a) Let f(x, y) = x² +2y? – xy. Find the minimum value of f(x, y) subject to the constraint 2x + y = 22. b Let f(z, y) —— 1? + у? — 2у. Find the maarimит апd minimит values of the function f (x, y) subject to the constraint x² + y² = 1.

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