[2 marks] Use Lagrange multipliers to find the point on the paraboloid z = x2 + 2 which is closest to the point (3, -6, 4). Then calculate the perpendicular distance (minimum distance) from the point (3, -6, 4) to the paraboloid. [Hint: Find first the minimum of squared distance subject to the constraint]. Remark: Solving this problem you will derive the cubic polynomial equation with real coefficients for the unknown A. Find one root by trial and error approach