58-61. Absolute extrema on open and/or unbounded regions If possible, find the absolute maximum and minimum values of the following functions on the region R. {(x, y) : |x| < 1, |y| < 2} 58. f(x, y) = x+3y; R = 59. f(x, y) = x + y 4; R - 60. f(x, y) = x = y; R = 61. f(x, y) = 2e-x-y; R = = {(x, y) : x + y < 4} {(x, y) : |x| < 1, \|y < 1} = 2exy; R = {(x, y) : x 0, y 0} Absolute extrema on open and/or unbounded regions 64. Find the point on the paraboloid z = x + y nearest the point P(3, 3, 1).