Calc 3 solve

Find the maximum and minimum values of f(x, y) = a2 - 32 + 2 subject to the constraint g (x, y) = 2x2 + 2 = 6. 1. Use the Method of Lagrange Multipliers to set up a system of equations SVf(x, y) = Avg(x, y) 19(x, y) = 6 How many solutions (x, y) does the above system have? (enter an integer) 2. Find maximum and minimum values. maximum value = minimum value = (enter integers or fractions; must simplify your answers)