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The function f(x,y) = 2xy has an absolute maximum value and absolute minimum value subject to the constraint x2 + y2 - xy=9. Use Lagrange multipliers to find these values. . . . Find the gradient of f(x,y) = 2xy. Vf (x,y) = Find the gradient of g(x,y) =x2 + y2 - xy - 9. Vg(x,y) = Write the Lagrange multiplier conditions. Choose the correct answer below. O A. 2x = 1 (2x - y), 2y = 1(2y -x), x2 + y2 -xy - 9=0 O B. 2x = 1 (2x - y), 2y = 12y -x), 2xy = 0 O C. 2y =1(2x - y), 2x =>(2y -x), x2 + y2 - xy-9=0 O D. 2xy = 1(2x - y), 2xy = 1(2y-x), x2 + y2 -xy-9=0 The absolute maximum value is The absolute minimum value is