Speed and arc length For the following trajectories, find

Chapter 11, Problem 21E

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QUESTION:

19-22. Speed and are length For the following trajectories, find the speed associated with the trajectory and then find the length of the trajectory on the given interval.

\(\mathbf{r}(t)=\langle 13 \sin 2 t, 12 \cos 2 t, 5 \cos 2 t\rangle, \text { for } 0 \leq t \leq \pi\)

Questions & Answers

QUESTION:

19-22. Speed and are length For the following trajectories, find the speed associated with the trajectory and then find the length of the trajectory on the given interval.

\(\mathbf{r}(t)=\langle 13 \sin 2 t, 12 \cos 2 t, 5 \cos 2 t\rangle, \text { for } 0 \leq t \leq \pi\)

ANSWER:

Solution 21E

Step 1:

Speed and arc length 

For the following trajectories, find the speed associated with the trajectory and then find the length of the trajectory on the given interval.

 for 0 ≤ t ≤ .

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