In: Math
Find the maximum and minimum values of f subject to the given constraints. Use a computer algebra system to solve the system of equations that arises in using Lagrange multipliers. (If your CAS finds only one solution, you may need to use additional commands. Round your answer to four decimal places.)
f(x, y, z) = yex − z; 9x2 + 4y2 + 36z2 = 36, xy + yz = 1