\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Find the Cartesian coordinates of
$\underline{\rm all}$ points of intersection of the curves with polar
equations $r^2= 4\sin \theta$ and $r= 1-\sin \theta$. Sketch these
curves on the same coordinate axes.

\medskip

\noindent {\bf Warning} $(0,{\theta}_1)$ and $(0,{\theta}_2)$
represent the same point {\it always}; so do $(r,\theta)$ and
$(-r, \theta \pm \pi)$.

\vfil\eject\end