Use the method of Lagrange multipliers to find the indicated extremum.
Let f(x,y) = 8x^2 - 24xy + y^2. Find the maximum and minimum values of the function f(x,y) subject to the constraint 8x^2 + y^2 = 1.
This solution is provided in a Word document which is attached and uses the Lagrange multipliers method to find extrema. The solution is detailed and well-presented.