pls help solve this problem thx

3. [15 marks; (a) 5 marks, (b) 10 marks] (a) Find the volume of the solid enclosed by two surfaces: 2z = x2 +y' and z =3-x2 - y2. (b) Let F(x, y, z) = (y'(cosx) In z)i + (3y sina In z te cos z)j+ (- sinx -e' sin z)k. Compute V x F. Does the potential of F exist? If it exists, evaluate F . dr, where C is curve with parametrization r(t) = ti + tj + t'k, Ve