\input epsf
\nopagenumbers
\magnification=\magstep1

%{\it Five}\/ is too much, and perhaps select three of the five for a
%workshop problem.

\noindent {\bf Problem statement} The point $P$ travels on the
parabola $y=x^2$.

\medskip

\noindent a) Give parametric formulas for the location of $P$ where
the parameter is the first coordinate of the point $P$.

\medskip

\noindent b) Give parametric formulas for the location of $P$ where
the parameter is the second coordinate of the point $P$. The
parametric formulas will have to be given ``piecewise''.

\medskip

\noindent c) Give parametric formulas for the location of $P$ where
the parameter is the angle that the ray from the origin to $P$ makes
with the positive $x$-axis.

\medskip

\noindent d) Give parametric formulas for the location of $P$ where
the parameter is the angle that the ray from the point $(0,1)$ to $P$
makes with the ray from $(0,1)$ to the origin.

\medskip

\noindent e) Give parametric formulas for the location of $P$ where
the parameter is the distance from the origin to $P$. The parametric
formulas again will have to be given ``piecewise''.

  









\vfil\eject\end