1. Each of the following shows the sequence of directions and steps employed by an improving search that began at y^0=(2,0,5). Compute the sequence of points visited by the search. (20 Points)
(a) ∆y^1=(3,-1,0),λ_1=2,,∆y^2=(-1,2,1),λ_2=5,∆y^3=(0,6,0),λ_3=1/2
(b) ∆y^1=(1,3,-2),λ_1=2,,∆y^2=(1,0,2),λ_2=1/2,∆y^3=(4,3,2),λ_3=12