The function f(x,y) = xy 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) = xy. 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. x= 1 (2x - y), y = 1(2y -x), x2 + y2 - xy- 9=0 O B. x=1 (2x - y), y= 1 (2y - x), xy= 0 O C. xy = 1(2x - y), xy=>(2y-x), x2+ 2 -xy-9=0 O D. y= 1(2x - y), x= 2(2y -x), x2 + y2 -xy-9=0 The absolute maximum value is The absolute minimum value is