(1 point) Using Grifths' formal denition of bound charge distributions, eqns 4.11 and 4.12 prove (mathematically) that if you have a dielectric which starts off neutral, and then it gets polarized, that the total bound charge is still exactly zero. Explain how this formal mathematical result makes (simple) physical sense. (Note: this need not be too complicated.) (2 points) Suppose you have a right circular cylinder of length L and radius R, and in it the polarization P is a constant oriented along the length of the cylinder. (An object like this, polarized without the inuence of an applied electric eld, is called an electret. It is like the electric analogue of a bar magnet.) Find the electric eld outside the cylinder on its axis, a distance 2 from the center