\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} A flat circular plate has the shape
of the region $x^2+y^2\le 1$. The plate (including the boundary
$x^2+y^2=1$) is heated so that the temperature $T$ at any point
$(x,y)$ is given by $T(x,y)=x^3-x+2y^2$. Locate the hottest and
coldest points of the plate and determine the temperature at each of
those points.


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