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In: Math

Let f(x, y) = 2x^3 − 6xy + 3y^2 be a function defined on xy-plane (a)...

Let f(x, y) = 2x^3 − 6xy + 3y^2 be a function defined on xy-plane

(a) Find first and second partial derivatives of.

(b) Determine the local extreme points of f (max., min., saddle points) if there are any.

(c) Find the absolute max. and absolute min. values of f over the closed region bounded by the lines x = 2, y = 0, and y = x

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