State, giving your reasoning, the method of radical polymerization you would use to prepare each of the following polymers.

$($a$)$ Poly$($vinyl acetate$)$ for use in formulating water$-$borne adhesives.

$($b$)$ Poly$($methacrylic acid$)$ with a number$-$average molar mass of $10kgmo{l}^{-1}$ and low molar mass dispersity.

$($c$)$ Polyacrylonitrile for use in production of acrylic fibres.

$($d$)$ Poly$($methyl methacrylate$)$ for use in optical applications.

$($e$)$ Low molar mass poly$(t-$butyl methacrylate$)$ with terminal $C=C$ bonds.

$($f$)$ Polystyrene for use in solvent$-$borne adhesives.

$($g$)$ Poly$($methyl methacrylate$)$ beads for use in formulating bone cements.