This problem has $3$ parts.

$($a$)$ Draw the graphs of the polar equations $r=1+sin$ and $r=\frac{3}{2}$ together on the same polar grid provided below. You MUST at least show work for calculating the points corresponding to the anolec $n\frac{}{4}\frac{}{2},,5\frac{}{4},3\frac{}{2}$

$($b$)$ Compute ALL TWO points of intersection of the graphs. Justify your answer. Draw a box around your final answer.

$($c$)$ Set up and do NOT evaluate a SINGLE integral that computes the area of the region outside $r=\frac{3}{2}$ and inside $r=1+sin.$ DO NOT EVALUATE THE INTEGRAL. Draw a box around your final answer.