Q1. Use the method of Lagrange multipliers to find the absolute maximum of f(x, y) = x + y-1 subject to the constraint x + y - 2y = 4x. Q2. Let D be the smaller cap cut from a solid ball of radius 2 units by a plane 1 unit from the center of the sphere. Express the volume of D as an iterated triple integral in (i) spherical, (ii) cylindrical and (iii) rectangular coordinates. (Do not evaluate these integrals.)