Consider the problem minimize 521 +503 +521 3.12 - 6.0102 +5/4 s.t. x + 3 0 is a given constant and x R2. Solve the problem by implementing the projected gradient (reuse the code you did in HW3 since it is essentially the same) for i) q* = 1/k ii) Armijo rule Recall one way to choose the descent direction in the projected gradient method is d* = IIx (2* Vf(x")) zok where IIx(y) is the orthogonal projection of the point y to the set X. And then choose ok False, ContourLabels->True, Contours->50); rp=RegionPlot [h(x,y]0 is a given constant and x R2. Solve the problem by implementing the projected gradient (reuse the code you did in HW3 since it is essentially the same) for i) q* = 1/k ii) Armijo rule Recall one way to choose the descent direction in the projected gradient method is d* = IIx (2* Vf(x")) zok where IIx(y) is the orthogonal projection of the point y to the set X. And then choose ok False, ContourLabels->True, Contours->50); rp=RegionPlot [h(x,y]