An infinite , hollow cylinder, made from dielectric material with permittiv- ity e, with inner radius a and outer radius b, has a volume (free) charge density p. a) Find the electric displacement D in the 3 regions (s b) b) Using the result you found in a), find the electric field E in all 3 regions. c) Find the polarization P in all 3 regions d) Find bound charge densities po and of. f) Find again the electric field E in all 3 regions, this time using Gauss's Law for E and using your knowledge of the free charge and bound charge densities