$(10$ marks$)$

Question $7)$ Write a complete MATLAB program to

a$)$ Generate and plot in the same figure each of the following CT signals:

$x1(t)=5e^{-0\mathrm{.}2t}sin(2t),-5t10$;

$x2(t)=e^{(-4-0\mathrm{.}5)t}u(t),-1t15.$

b$)$ Compute the convolution $y(t)=x1(t)**x2(t)$ and plot the result in the same figure. Hints: Do not use the "for" loops in your code. Use suitable axis and titles in your code.