Recall that a Maclaurin series is a Taylor series about $x = 0$. Calculate the first three non-zero terms of the Maclaurin series of each of the following functions.\\
(a) $a(x) = (x+1)^{3/2}$.\\
(b) Hence or otherwise, $b(x) = (4x + 1)^{3/2}$.\\
(c) Hence or otherwise, $c(x) = (4x^2 + 1)^{3/2}$.\\
(d) Hence or otherwise, $d(x) = (x-1) (4x^2+1)^{3/2}$.