Question:
The plane x + y + 2z = 12 intersects the paraboloid z = x²
Last updated: 7/16/2022
![The plane x + y + 2z = 12 intersects the paraboloid z = x²](https://media.kunduz.com/media/sug-question/raw/84430495-1657989704.124388.jpeg?h=512)
The plane x + y + 2z = 12 intersects the paraboloid z = x² + y² 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) =