\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Which has more area, the region in
the first quadrant enclosed by the line $x+y=1$ and the circle
$x^2+y^2=1$, or the region in the first quadrant enclosed by the line
$x+y=1$ and the curve $\sqrt{\vphantom{j}x}+\sqrt{\vphantom{j}y}=1$?
Justify your answer. Include a sketch of the regions discussed.

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