Continuous$-$time signal $x(t)$ is a low$-$pass signal with absolute bandwidth of $200ra\frac{d}{s}.$ Find the absolute bandwidth of each of the following signals:

$($a$)x(t-0\mathrm{.}1)$

$($b$)x(\frac{t}{3})$

$($c$)\frac{dx(t)}{dt}$

$($d$)x(t)**\frac{sin(275t)}{t}$

$($Note that $*$ denotes convolution.$)$

$($e$)x^2(t)$