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\begin{enumerate}
    \item Find the value of the positive
constant $C$ so that the parabolas $y = x^2$ and $y = C - x^2$ (shown
in the picture below on the left) intersect at right angles (that is,
the graphs are {\it orthogonal}).
\item Find the value of the positive constant $D$ so that the
parabolas $y = x^2$ and $y = (D - x)^2$ (shown in the picture below on
the right) intersect at right angles (that is, the graphs are {\it
orthogonal}).
\end{enumerate}

\begin{center}
	\includegraphics[width=0.8\textwidth]{nan14.png}
\end{center}

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