Use Lagrange Multipliers to Maximize each function (f (x, y) ) subject to the constraint (The Maximum values do exist.) f (x, y) = 2xy f (x, y) = 49 - x2 and and 3x + 2y = 36 x + 3y = 10 Use Lagrange Multipliers to Minimize each function (f (x, y)) subject to the constraint (The Minimum values do exist.) (x, y) = In(x2+ y2) f (x, y) = e(x2+ 2) 3 and 4. and x + 2y = 48 1 3 ' Xty #1 f (x, y) = x2+ yz 5 and x + 2y = 25 Use Lagrange Multipliers to Minimize and maximize each function (f (x, y)) subject to the constraint f ( x, y ) = xy f (x, y) = 3x + 4y 6. and 7. and x2 + y2 = 50 x2 + yz = 1