Solution: Speed and arc length For the following

Chapter 11, Problem 22E

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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.

\(\mathbf{r}(t)=\left\langle e^{t} \sin t, e^{t} \cos t, e^{t}\right\rangle, \text { for } 0 \leq t \leq \ln 2\)

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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.

\(\mathbf{r}(t)=\left\langle e^{t} \sin t, e^{t} \cos t, e^{t}\right\rangle, \text { for } 0 \leq t \leq \ln 2\)

ANSWER:

Solution 22E

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 ≤ ln 2.

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