Use the method of Lagrange multipliers to find the indicated extremum. You may assume the extremum exists.
Find the maximum and minimum values of f(x,y,z) =
x + 3y - z subject to z = 2x^2 + y^2
This solution is comprised of a step-wise response which shows how to use Lagrange multipliers to find extrema. This solution is provided in an attached Word document.