$\%1.$ Generate$/$initilize inputs $a1,w1,p1,b,$ and $1-d$ vector $t1$ and $t2$

a$1=8\mathrm{.}5$;

$w1=20**$;

$p1=-\frac{}{2}$;

$b=1\mathrm{.}75\%$test $b=2\mathrm{.}75$ yourself under MATLAB, not here,

$\%$ generate $t1$ for $0t<mn\; id="EditorElement\_786830">0</mn><mn\; id="EditorElement\_786831">.</mn><mn\; id="EditorElement\_786832">5</mn>$ using increment of $0\mathrm{.}01($ you can use something like $0\mathrm{.}49999$ as the up limit so it is less than $0\mathrm{.}5)$

$t1=0$:$0\mathrm{.}01$:$0\mathrm{.}49999$;

$\%$ generate $t1$ for $0\mathrm{.}5t1\mathrm{.}5$ using increment of $0\mathrm{.}01$

t$2=0\mathrm{.}5$:$0\mathrm{.}01$:$1\mathrm{.}5$;

$\%2.$ Calculate the $f(t)$ for each segement

$f1=a1**cos(w1**t1+p1)$;

$f2=a1**cos(w1**t2+p1)***exp(-b**(t2-0\mathrm{.}5))$;

$\%3.$ Display it by drawing it

$\%$ concatenating $t1$ and $t2$

$t=[t1,t2]$

$\%$ concatenating $f1$ and $f2$

$f=[f1,f2]$;

$\%$ Plot it