Q1: Use Legendre Polynomials, in Table 1, to find potential inside and outside a nanoparticle with a spherical shape. The radius of the particle is 25 nm. The potential on the surface is 3 my. Po(x) = 1 P(x) = x P(x) = (3x-1)/2 P3(x) = (5x3x)/2 P4(x) = (35x4-30x+3)/8 Ps(x) = (63x - 70x + 15x)/8 Table 1