Manipulating a parametric equation $(10$ points$)$

The parametric equation given below traces out a sort of bow$-$tie looking shape also shown below.

$p(t)=\left[\begin{array}{c}5sin(t)\\ 3cos(t)sin(t)\\ 1\end{array}\right]$

As the parametric variable progress from $t=0$ top $t=2$ what direction along the curve does it sweep

along. Make a plot in matlab of the bow$-$tie shape and plot $10$ points along the curve that increase in

size as $t$ increases. $($Hint: you can use the scatter command to plot a vector of points and their sizes

all at once$).$

Make a series of $10$ plots that rotate the bow$-$tie shape around the origin by $2.$ Use the subplot$(1,10,i$

command for the i'th plot so that they are all horizontal. You don't need to plot points from part $1.$