The butterfly curve is given by the following paramet$-$ ric equations:x$=$sin$($t$)$ ecost$2$cos$4$tsin$5$ t $12$y $=$ cos$($t$)$ ecost $2$cos$4$t sin$5$ t $12$Generate values of x and y for values of t from $0$ to $100$ with t $=1/16.$ Construct plots of $($a$)$ x and y versus t and $($b$)$ y versus x$.$ Use subplot to stack these plots vertically and make the plot in $($b$)$ square. Include titles and axis labels on both plots and a legend for $($a$).$ For $($a$),$ employ a dotted line for y in order to distinguish it from x$\mathrm{.}2\mathrm{.}23$ The butterfly curve from Prob. $2\mathrm{.}22$ can also be repre$-$ sented in polar coordinates asr$=$esin $2$cos$(4)$sin$5224$Generate values of r for values of from $0$ to $8$ with $=/32.$ Use the MATLAB function polar to generate the polar plot of the butterfly curve with a dashed red line. Employ the MATLAB Help to understand how to generate the plot.