Solve problems $2\mathrm{.}5$ and $2\mathrm{.}10$ from your textbook $($given below$).$ For each problem,

submit the MATLAB commands, the output and the plots $($if any$).$

$2\mathrm{.}5$ The following equation can be used to compute values

of $y$ as a function of $x$ :

$y=b{e}^{-ax}sin(bx)(0\mathrm{.}012x^4-0\mathrm{.}15x^3+0\mathrm{.}075x^2+2\mathrm{.}5x)$

where a and $b$ are parameters. Write the equation for imple$-$

mentation with MATLAB, where $a=2,b=5,$ and $x$ is a

vector holding values from $0$ to $\frac{}{2}$ in increments of

$x=\frac{}{40}.$ Employ the minimum number of periods $($i$.$e$.,$

dot notation$)$ so that your formulation yields a vector for $y.$

In addition, compute the vector $z=y^2$ where each element

holds the square of each element of $y.$ Combine $x,y,$ and $z$

into a matrix $w,$ where each column holds one of the vari$-$

ables, and display $w$ using the short $g$ format. In addition,

generate a labeled plot of $y$ and $z$ versus $x.$ Include a legend

on the plot $($use help to understand how to do this$).$ For $y,$

use a $1\mathrm{.}5-$point, dashdotted red line with $14-$point, red$-$

edged, white$-$faced pentagram$-$shaped markers. For $z,$ use a

standard$-$sized $($i$.$e$.,$ default$)$ solid blue line with standard$-$

sized, blue$-$edged, green$-$faced square markers.