Question: Consider the function g defined by: g(x, y, z) = 2x 2 5y 2 3z 2 + 4x 15y + 3z 7. 1. Determine the

Consider the function g defined by: g(x, y, z) = 2x2 5y2 3z2 + 4x 15y + 3z 7.

1. Determine the stationary point of g.

2. Is g convex or concave? Justify your answer.

3. Deduce whether the stationary point is a minimum or a maximum.

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