Section 14.8: Lagrange Multipliers
Exercise 46
The plane \(4x - 3y + 8z = 5\) intersects the cone \(z^2 = x^2 + y^2\). Find the points on this ellipse that are nearest to and farthest from the origin.
The plane \(4x - 3y + 8z = 5\) intersects the cone \(z^2 = x^2 + y^2\). Find the points on this ellipse that are nearest to and farthest from the origin.