Design a cylindrical can (with a lid) to contain 5 liters (= 5000 cm³) of water, using the minimum amount of metal. 1000 (1/3) diameter cm 4π 5000 height π(9.267)² Submit Answer X cm Use the method of Lagrange multipliers to find the absolute maximum and minimum values of f(x, y) = x² + y² − x − y + 7 on the unit disc, namely, D = {(x, y) | x² + y² ≤ 1}. maximum −5+ √2 X minimum 5.5 X