(a) the function g is defined by g(x, y) = 3+x^3 ? x^2 ? y^2. its domain d is given by x^2 + y^2 ? 1 and x ? 0. sketch the domain d in the xy-plane.
(b) find the stationary points of the function g, and classify them.
(c) find the (global) extreme points of g in d.
hint: the couples (x, y) that satisfy the equation x^2 + y^2 = 1 are located on a circle with radius 1 and center at the point (0,0).