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The given plane intersects the following paraboloid in an ellipse. Find the points on the ellipse that are nearest to and farthest from the

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

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