Question

Consider the function given by f(x,y) = 3x2 −6xy + 2y3 + 23. (a) Find all...

Consider the function given by f(x,y) = 3x2 −6xy + 2y3 + 23.
(a) Find all critical points of f(x,y) and determine their nature.
(b) What are the minimum and maximum values of f(x,y) on the straight line segment given by 0 ≤ x ≤ 3, y = 2?

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