$*$Problem $2($below is identical to the directions given in the Problem $2$ later$)$

A$.$ Problem statement $($write out the given problem$)$

B$.$ Analytically derive an expression for the modulated signal S$($t$).($See details given

in Problem $2)$

C$.$ Using Matlab plot, show the time domain waveforms of given m$($t$),$S$($t$)$s with

different k$\_($a$)=0\mathrm{.}5,0\mathrm{.}95$ as well as k$\_($a$)=0\mathrm{.}85($given$)$ up to $1[$sec$].$

D$.$ Determine the spectra of the message signal M$($f$)$ and modulated signal S$($f$)$k$\_($a$)$ k$\_($a$)$ towards time domain

waveforms as well as frequency domain spectra