Only questions 31, 35

30. f (x, y) = In (x + y) + x -y Finding Absolute Extrema In Exercises 31-38, find the absolute maxima and minima of the func- tions on the given domains. 31. f(x, y) = 2x2 - 4x + y2 - 4y + 1 on the closed triangular plate bounded by the lines x = 0, y = 2, y = 2x in the first quadrant 32. D(x, y) = x2 - xy + y + 1 on the closed triangular plate in the first quadrant bounded by the lines x = 0, y = 4, y = x 33. f(x, y) = x2 + y on the closed triangular plate bounded by the lines x = 0, y = 0, y + 2x = 2 in the first quadrant 34. T(x, y) = x2 + xy + y - 6x on the rectangular plate OSx5 5, - 3 sys3 35. T(x, y) = x2 + xy + y - 6x + 2 on the rectangular plate O s x 5 5, - 3 - y SO