1. Use Lagrange multipliers to find the exact extreme value(s) of f(x, y) = x + y on the curve 2x+ y =5. In your final answer, state whether each of the extreme value(s) is a maximum or minimum, and state where the extreme value(s) occur. 2. Use Lagrange multipliers to find the exact extreme value(s) of f (x, y, z) = 4x+8y +8z subject to the constraint x + y + z =9. In your final answer, state whether each of the extreme value(s) is a maximum or minimum, and state where the extreme value(s) occur