Given that the charge distribution in free space is
$\rho = \begin{cases} \rho_0(a^2 - r^2), & r \le a \\ 0 & r > a \end{cases}$
(a) Determine the electric field intensity at a point $P(r, \theta, \phi)$ in the spherical coordinate system.
(b) Find the potential at the point $P(r, \theta, \phi)$.
(c) Calculate the total charge.
(d) Find the point at which the electric field intensity is maximum. Specify the point's coordinates in the spherical
system.