For each function f given below find all points a b at

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For each function f given below, find all points (a, b) at which fx(x, y) and fy(x, y) are both zero. Determine whether f(a, b) is a local maximum, a local minimum, or neither.

(To do this, consider the sign of f(a + h, b + k) -f(a, b).)

(a) f(x, y) = x2+ 2xy + 2y2-6x + 8y (b) f(x, y) = xy -2x -3y -4

Reference no: EM13591249

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