91Ó°ÊÓ

Find the area of the region enclosed by the graph of the given equation.\(r=2-\sin \theta\)

Find the points of intersection of the graphs of the given pair of equations. Draw a sketch of each pair of graphs with the same pole and polar axis.\(\left\\{\begin{array}{l}r=4 \theta \\ r=\frac{1}{2} \pi\end{array}\right.\)

Plot the point having the given set of polar coordinates; then give two other sets of polar coordinates of the same point, one with the same value of \(r\) and one with an \(r\) having opposite sign.\((-3,-\pi)\)

Find a polar equation of the graph having the given cartesian equation.\(x^{2}+y^{2}=a^{2}\)

Find the area of the region swept out by the radius vector of the spiral \(r=a \theta\) during its second revolution which was not swept out during its first revolution.

Draw a sketch of the graph of the given equation.\(r=4 \sin 5 \theta\) (five- leafed rose)