Determining surface charges and eletric fields in a spherical conductor. Solution in JPG format.

Consider a spherical conductor of radius R. Inside of it are two spherical cavities A and B, with radii a and b, respectively. Each cavity contains a point charge qa and qb, respectively. Find the surface charges for all three surfaces (R, the outer surfaces of the conductor, and the surfaces of the inner cavities A and B) and the electric fields.