The butterfly curve is given by the following paramet ric equations : $/$ x $=$ sin $($ t $)$ ecos $-2$ cos $4$t $-$ sin y $=$ cos $($ t $)$ ecos Cecos $-2$ cos $4$t sin$^3-1212$ Generate values of x and y for values of t from $0$ to $100$ with At $=1/16.$ 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 $.$