$(6$ Marks$)8-($a$)-$Take a signal x with length N$.$ Convolve this signal with another signal f$,$ of length M$.$ What would be the length of the result? $($That is$,$ take x $=\{$x$0,$ x$1,...,$ xN$1\},$ and f $=\{$f$0,$ f$1,...,$ fM$1\}.)($b$)$ Is there an input signal of length $2,$ x $=\{$x$0,$ x$1\},$ such that, if we apply this signal to the system given below, its output y will have a finite length? y$($n$)+0\mathrm{.}94$y$($n $1)=0\mathrm{.}03[$x$($n$)$ x$($n $1)]$ Take y$($n$)=0,$ for n $<0.($c$)-$ Assume that an FIR, LTI system has the input x $=\{1,3\},$ and output y $=\{1,7,10,6\}.$ Find the transfer function of this system.