The function g is defined by g(x, y)=3+x-x - y on the domain D given by...

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The function g is defined by g(x, y)=3+x-x - y on the domain D given by points in the xy-plane satisfying x+ y1 and x0. (a) Find the stationary points of the function g, and classify them. (b) Find the global extreme points of g in D. The function g is defined by g(x, y)=3+x-x - y on the domain D given by points in the xy-plane satisfying x+ y1 and x0. (a) Find the stationary points of the function g, and classify them. (b) Find the global extreme points of g in D.