4. (For this problem you will need to know how to compute the determinant of a 3 x 3 matrix. ) Given the change of coordinates II from the (p, 0, ) space to the (x, y, z) space, where II : x = p cos(0) sin(6), y = psin(0) sin($), z = pcos(6), the Jacobian matrix of II is given by Ox Ox Ox ap dy ay ay J = ap az az ap (i) Compute J explicitly. (ii) Compute |det(J)| (Assume p > 0 and 0