$($a$)$ What is the boundary value problem for creeping flow past a rigid sphere of radius $R.($i$.$e$.$ write down the governing equations and boundary conditions$).$

$($b$)$ Explain why the governing Stokes equation of motion and continuity equation are satisfied by a linear combination of uniform flow, point force flow, and dipole.

$($c$)$ Apply the boundary conditions to show that;

$v_{?}=\frac{3}{4}\frac{RU}{r^3}(1-\frac{R^2}{r^2})z{r}_{+}\frac{1}{4}U(\frac{3R}{r}+\frac{R^3}{r^3}-4)e_z{?}_{?}$