?Find the arc length of the curve on the given interval.\(\mathbf{r}(t)=\left\langle

Chapter 3, Problem 106

(choose chapter or problem)

Find the arc length of the curve on the given interval.

\(\mathbf{r}(t)=\left\langle e^{-t} \cos t, e^{-t} \sin t\right\rangle\) over the interval \(\left[0, \frac{\pi}{2}\right]\). Here is the portion of the graph on the indicated interval:

Text Transcription:

\mathbf{r}(t)=\left\langle e^{-t} \cos t, e^{-t} \sin t\right\rangle

\left[0, \frac{\pi}{2}\right]\

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