$($a$)$ Let $x(n)=\{3,0,2,1\}.$

i$.$ Find $x[($:$-n$:${)}_4]$ and $x[($:$n-9$:${)}_4]$

ii$.$ Find $y(n)=x(n)(4)x(n).$

$($b$)$ Find the $N-$point DFTs of the signals:

i$.g_2(n)=cos(6\frac{n}{N})Nsin(10\frac{n}{N}),0.g_1(n)=cos(6\frac{n}{N}),0.$

$ii.g_2(n)=cos(6\frac{n}{N})Nsin(10\frac{n}{N}),0.$