The butterfly curve is given by the following parametic equations x$=$sin$($t$)($e$^$ cout $-2$cos $4$ f $-$sin$^5$ t $12)$; y $=$ cos$($t$)*($e $^($cout$)-2$cos $4$t $-$ sin$^3($t$/12))$ Generate values of x and y for values of t from $0$ to $100$ with Delta$*$t $=1/$R Construct plots of a$)$ x and y versus tand b$)$ y versus 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