Problem $3(20$ points$)$: Evaluate the following integral using an anonymous function and the

Matlab function "integral".

$\backslash$int$\_1^(11)($x$^(3)$e$^(-0\mathrm{.}2$x$))/(1+$x$^(2))$dx

Problem $4(30$ points$)$:

Use linspace to define $-4\backslash$pi tpi using $300$ points

Define: x$=$cos$(1\mathrm{.}5$t$),$y$=$sin$(1\mathrm{.}5$t$)$

$($a$)$

Define:

a$=2,$b$=3,$ and c$=-0\mathrm{.}05$

Implement the following equation using an anonymous function

f$($x$,$y$,$t$)=$axe$^(($ct$))+$bye$^(($ct$))$

Call the function and use plot$3$ to plot the three$-$dimensional plot.

z$=$f$($x$,$y$,$t$)$

plot$3($x$,$y$,$z$)$

$($b$)$

define

a$=1,$b$=10,$ and c$=-0\mathrm{.}01$

Implement the same equation with the new parameters using an anonymous function

f$($x$,$y$,$t$)=$axe$^(($ct$))+$bye$^(($ct$))$

Call the function and use plot$3$ to plot the three$-$dimensional plot.

z$=$f$($x$,$y$,$t$)$

plot$3($x$,$y$,$z$)$

Your outputs should look like the figures below.