a) Find the absolute maximum and minimum values of f (x, y ) = x + y − xy on the closed triangular domain with vertices (0, 0), (0, 4), and (8, 0)

Math Nov 18, 2020

a) Find the absolute maximum and minimum values of f (x, y ) = x + y − xy on the closed triangular domain with vertices (0, 0), (0, 4), and (8, 0).
(b) Find the absolute maximum and minimum values of f (x, y ) = e −x 2−y 2 (2x 2 + y 2 ) on the domain x 2 + y 2 ≤ 4