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) = - 2x24x + 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 + y² + 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 + y² on the closed triangular plate bounded by the 0, y = 0, y + 2x 0, y + 2x = 2 in the first quadrant lines x = 34. T(x, y) = x² + xy + y² = 6x - 0 ≤ x ≤5, -3 ≤ y ≤ 3 on the rectangular plate