Consider the problem of minimizing f(x)=21x12+x22subjecttox1x21and2x1+x22. Introduce functions h1(x) and h2(x) so that the constraints are h1(x)0 and c2(x)0. 1. Assume first that the only active constraint is h1. Find a candidate solution x1. Does this satisfy all the KKT (necessary first-order) conditions for this constrained problem? 2. Now assume first that the only active constraint is h2. Find a candidate solution x2. Does this satisfy all the KKT (necessary first-order) conditions for this constrained problem? Consider the problem of minimizing f(x)=21x12+x22subjecttox1x21and2x1+x22. Introduce functions h1(x) and h2(x) so that the constraints are h1(x)0 and c2(x)0. 1. Assume first that the only active constraint is h1. Find a candidate solution x1. Does this satisfy all the KKT (necessary first-order) conditions for this constrained problem? 2. Now assume first that the only active constraint is h2. Find a candidate solution x2. Does this satisfy all the KKT (necessary first-order) conditions for this constrained