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Let f(x,y)=x2−3xy+y+3f(x,y)=x2−3xy+y+3 and R is the triangular region with vertices O (0, 0), A (2, 0) and B (0, 4). Find the critical points along the line segment AB at which the absolute extrema of f(x,y)f(x,y) can occur.

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