Question: The plane x + y + 2z = 30 intersects the paraboloid z = x2 + y in an ellipse. Find the points on the

The plane x + y + 2z = 30 intersects the paraboloid z = x2 + y in an ellipse. Find the points on the ellipse that are nearest to and farthest from the origin. nearest point ( x, y , Z ) = farthest point (x, y, z) =

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