$(10$ marks$)$ a$)(2$ marks$)$ With the help of the Maple Guide, plot the two polar curves on the

same graph: $r^2=4cos(2),r=\sqrt[\phantom{2}]{2}.($Be sure to print your maple code and

output on paper$)$

b$)(8$ marks$)$ Find the area of the region that lies inside the lemniscate and

outside the circle $($from part a$).$ Do this by hand.