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  3. the plane x + y + 2z = 12 intersects the paraboloi

The plane x + y + 2z = 12 intersects the paraboloid z = x...

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The plane x + y + 2z = 12 intersects the paraboloid z = x + 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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