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Files$\newline$Question$\newline$Reader$\newline$Area bou$\newline$Worked$\newline$ByteLear$\newline$polar coo$\newline$Arc Leng$\newline$Mail - Br$\newline$My Office$\newline$e-reader-frontend.macmillanlearning.com/?ro=macmillanlearning.com?rid=$75$ee$9$b$80$$-04$aa$-4216$$-867$e-e$9$e$0$b$10$f$68$e$3$?req_id=$13$f$486$c$2$$-619$b$-429$e...$\newline$New Chrome available :$\newline$All Bookmarks$\newline$$14$. Find the area of the shaded region in Figure $18$ enclosed by the circle $r=\frac{1}{2}$ and a petal of the curve $r=\cos 3 \theta$. Hint: Compute the area of both the petal and the region inside the petal and outside the circle.$\newline$Rogawski et al., Calculus: Early Transcendentals, $4 \mathrm{e}$, (C) $2019$ W. H. Freeman and Company$\newline$FIGURE $18$$\newline$$15$. Find the area of the inner loop of the limaçon with polar equation $r=2 \cos \theta-1$ (Figure $19$).$\newline$$16$. Find the area of the shaded region in Figure $19$ between the inner and outer loop of the limaçon $r=2 \cos \theta-1$.