For all the problems in this section you should only use the
given parametric equations to determine the answer.
For problems 1 5 determine the length of the parametric curve
given by the set of parametric equations.
For these problems you may assume that the curve traces out exactly once
for the given range of t’s.
1.
2.
3.
4.
5.
For problems 6 and 7 a particle travels along a path defined
by the following set of parametric equations.
Determine the total distance the particle travels and compare this to
the length of the parametric curve itself.
6.
7.
For problems 8 10 set up, but do not evaluate, an integral
that gives the length of the parametric curve given by the set of parametric
equations. For these problems you may
assume that the curve traces out exactly once for the given range of t’s.
8.
9.
10.