Consider the following function on the region described by the inequality. f(x, y) = 2x² + 3y² - 4x-1, g(x, y) = x² + y² ≤ 16 Find the gradient of f. Vf(x, y) = 4x4,6y X Find the critical point of f that lies in the given region. (x, y) = 1,0 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.) ) (x, y) = -2,-2√3 x (x, y) = (x, y) = (x, y) = Find the extreme values of f on the region described by the inequality. (If an answer does not exist, enter DNE.) maximum -2, 2√3 minimum Need Help? Read It

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