**Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x,y) = xy; 4x2 + y2 = 8**

**Answer:**

**Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x,y) = xy; 4x2 + y2 = 8**

**Answer:**