Q2 (a) Given F(x, y, z) = x*yi+y zj+xz'k and S is the surface of the sphere x2 + y' + z? =4. Find the integrand that derived when using Gauss's Theorem to evaluate F. n dS . (Do not solve the integration) (4 marks) ( b ) Solve the integral (3x- y)dx + (2x + 3y)dy along the curve x = y' from (0,0) to (1, 1 ). (8 marks) (c) Use Green's Theorem to evaluate 3xydx + 2xydy, where C is a counterclockwise C oriented rectangle, bounded by x= -2, x = 4, y =1 and y = 2. (8 marks)