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{\bf Quiz \#5; Tuesday, date: 02/20/2018}
{\bf MATH 53 Multivariable Calculus with Stankova}
{\bf Section \#114; time: 2 -- 3:30 pm}
{\bf GSI name: Kenneth Hung}
{\bf Student name:}
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\begin{enumerate}
\item At what point does the curve have maximum curvature? What happens to the curvature as $x \to \pi / 2$?
\[
y = \ln (\sec x), ~~~~ 0 \le x < \frac{\pi}{2}.
\]
\item {\em True / False?} If a curve is parametrized by its arc length, there is no tangential component of acceleration and the normal component of acceleration is the curvature.
\item {\em True / False?} The level surfaces of $f(x, y, z) = x^2 + y^2 - z$ are elliptic paraboloids, that can be obtained from each other by shifting in the $z$-direction.
\end{enumerate}
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