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The plane x + y + 2z = 12 intersects the paraboloid z = x + y2 in an ellipse. Find the points on

The plane x + y + 2z = 12 intersects the paraboloid z = x + y2 in an ellipse. Find the points on the ellipse that are nearest to and farthest from the origin. (x, y, z) = nearest point = farthest point (x, y, z) =

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