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10. (16 pts) Let f (x, y) = x3 + 2xy 2y2 10x . Find all critical points of f . List all critical points

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10. (16 pts) Let f (x, y) = x3 + 2xy 2y2 10x . Find all critical points of f . List all critical points as ordered pairs. 11. Consider f(x,y) = .747}1 + y2/2+1yx2y restricted to the closed region R bounded by the graphs ofy = 3 and y = x2 2x . (a) (8 pts) Sketch region R . Label the points of intersection of the boundaries as ordered pairs. (b) Extra Credit (26 pts) Find all critical points of f on the boundary of R. List all critical points as ordered pairs

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