Consider the following function on the region described by the inequality. f(x, y) = e-xy, g(x, y) = x² + 4y² ≤ 1 Find the gradient of f. Vf(x, y) = (x, y) = (x, y) = Find the critical point of f that lies in the given region. (0,0 Find the points on the boundary of the region such that Vf = 2Vg. (Order your answers from smallest to largest x, then from smallest to largest y.) 1 1 √2 2√2 (x, y) = (x, y) = (x, y) = (-ye minimum -xy 1 1 √2 rer) 1 2√2 0.779 1 2√2 1 1 √2 2√2 Find the extreme values of f on the region described by the inequality. (If an answer does not exist, enter DNE.) maximum 1.284 X

Q: -3F -3 -2 -1 1 2 3 3.

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