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\leftline{Mathematics 241 -- Multivariable Calculus}
\leftline{Quiz 5 -- October 19, 2007}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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A) (5) Let ${\bf x}(t) = (t,t^2,t^3)$ be the twisted cubic curve in ${\bf R}^3$.
Set up the integral that would compute the {\it arclength} of the segment of this curve
for $t = 1$ to $t = 4$.  (Do not try to compute the numerical value.)
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B) (5) Find the
{\it curvature function} of the curve ${\bf x}(t) = (5\sin(2t), 3, 5\cos(2t))$.  
\bye
