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- If x and y are elements of an ordered integral domain D, prove the following inequalities. a. x22xy+y20 b. x2+y2xy c. x2+y2xyThe graph of f(x,y)=y2-x2 on XYZ space has a saddle point (a,b) if... Choices: A) D(a,b)=0 B) D(a,b)0 and fxx(a,b)0 and fxx(a,b)>0The graph of f(x,y)=y2-x2 on XYZ space has a saddle point (a,b) if... choice: (choose one correct answer) D(a,b)>0 and fxx(a,b)>0 D(a,b)>0 and fxx(a,b)<0 D(a,b)=0 D(a,b)<0
- Let R be the region bounded by the parabola y = x2 − 1 andthe line y = x+ 1 and let f(x, y) = xy −2x. Find the global maximum and minimumof f(x, y) on RProve that y2 + y3 + 2y4 ≤ 6 is a valid Gomory cut for the following feasible region. X = {y ∈ Z+4 : 4y1 + 5y2 + 9y3 + 12y4 ≤ 34 }Determine the absolute maximum and minimum values of F over the set D, which consists of the closed tirangular region in the xy plane with vertices (0,0), (0,6) and (6,0).
- Find the absolute maximum and minimum values of f on the set D. f(x, y) = x + y − xy, D is the closed triangular region with vertices (0, 0), (0, 2), and (8, 0)Find the absolute maximum and minimum of f(x,y)= 4xy^2 - (x^2)(y^2) - xy^3 on the closedtriangular region with vertices (0,0), (0,6), and (6,0).