Problem: Manipulating Sinusoids with MATLAB

Follow the instructions and write a MATLAB script $(m$ file$)$ for this problem.

Include a print of your MATLAB scripts at the end of your solution.

Include properly labeled and titled three plots for this problem.

The quality of your plots & labels should be similar to the shown plot for Problem $1.$

Follow the instructions to generate a time vector $t$ in Matlab with good enough sampling rate

$($at least $40$ samples per period$)$ and use that time vector to plot three periods $(3$ cycles$)$ of the

following $3$ sinusoidal signals:

$x(t)=$Acos$(2f_0(t-t_m)),y(t)=$Bcos$(2f_0(t-t_d)),z(t)=x(t)+y(t)$

Assume: $($See next page$)$

$A=($ last digit $of$ your student $ID)+1,M=($ Month $of$ your birthday $)+1$

$f_0=10kHz,B=1\mathrm{.}5A,t_m=0\mathrm{.}15(1+0\mathrm{.}8\frac{M}{A})T_0,t_d=-0\mathrm{.}1(2+\frac{M}{A})T_0.$

Use Matlab commands subplot$(3,1,1),$ subplot $(3,1,2)$ and subplot $(3,1,3)$ to plot three signals

over the range of $-T_{0}t{T}_0.$ Note that $T_0$ is the period of sinusoid$.$ If you need help, then

type in Matlab command window: help subplot