Question: 6.12 Consider the problem where f : 2 is given by f(x) = 5x2 with x = [x1,x2], and = {x = [x1,x2] : x21

6.12 Consider the problem where f : 2 is given by f(x) = 5x2 with x = [x1,x2], and = {x = [x1,x2] : x21 + x2 1}. a. Does the point x* = [0,1] satisfy the first-order necessary condition? b. Does the point x* = [0,1] satisfy the second-order necessary condition? c. Is the point x* = [0,1] a local minimizer?

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