Question: Consider the following nonlinear programming problem: min x 1 + x 2 s.t. x 1 2 + x 2 2 1 x 1 0, x

Consider the following nonlinear programming problem:

min x1 + x2

s.t. x12 + x22 1

x1 0, x2 0

Verify it is convex and solve this problem graphically.

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