Q$17-14[50$ points$]$ DFT $\{x[n]\}$ is $x[k]=[1,3,2,4],$ find DFT of the following signals

$($a$)x[n-2]$

$($b$)2x[n]+x[n+1]$

$($c$)x[-n]$

$($d$)$ Conjugate of

$($e$)$ Square of $x[n],x^2[n]$