1. (3+3+3 points) For each of the following statements, decide whether it is true or false, and in either case briefly explain why: (a) The average distance of a point in a three-dimensional shape D from the origin is x2 +y2 + 22 dV (b) If the bounds of a definite triple integral are 32-2 sin (cry) then the order of differentials must be dz dy do. (c) If y and z are functions of u and v, then the Jacobian of the function transforming (x, y, z) - (x, u, v) is equal to Du Dz