Question: The plane z + y + 2z = 14 intersects the paraboloid z = 2% 4 y? in an ellipse. Find the points on this

The plane z + y + 2z = 14 intersects the paraboloid z = 2% 4 y? in an ellipse. Find the points on this ellipse that are nearest to and farthest from the origin. The point farthest away occurs at ( 21375 || 2.1375 || 9.1375 ). The point nearest occurs at (1.6375 || 1.6375 | 5.3625 )

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