1a) Find and classify the critical points of f(x,y) = -x² + 2y² + 6x. 1b) Find the critical points of f(x,y) = x² + 2y²
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1a) Find and classify the critical points of f(x,y) = -x² + 2y² + 6x. 1b) Find the critical points of f(x,y) = x² + 2y²
1a) Find and classify the critical points of f(x,y) = -x² + 2y² + 6x. 1b) Find the critical points of f(x,y) = x² + 2y² + 6x subject to the constraint x² + y² = 1. 1c)Use the work from the previous parts to determine the coordinates ofthe global maxima and minima of f(x,y) = -x² + 2y² + 6x on the disk D = {(x,y) | x² + y² ≤ 1}.
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