Question: Consider the following nonlinear programming problem: Minimize Z x4 1 2x2 2, subject to x2 1 x2 2 2. (No nonnegativity constraints.)

Consider the following nonlinear programming problem:

Minimize Z  x4 1  2x2 2, subject to x2 1  x2 2 2.

(No nonnegativity constraints.)

(a) Use geometric analysis to determine whether the feasible region is a convex set.

(b) Now use algebra and calculus to determine whether the feasible region is a convex set.

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