1. The problem statement, all variables and given/known data Use the Lagrange Multiplier method to find the maximum and minimum values of x2 − 2xy + 7y2 on the ellipse x2 + 4y2 = 1. 2. Relevant equations Lagrange multiplier method 3. The attempt at a solution L(x,y,z,λ) = x2 − 2xy + 7y2 - λ(x2 + 4y2 - 1) Find Lx, Ly, Lλ Then, solve for x and y?