?Given \(\mathbf{r}(t)=\left\langle 2 e^{t}, e^{t} \cos t, e^{t} \sin t\right\rangle\)

Chapter 3, Problem 115

(choose chapter or problem)

Given \(\mathbf{r}(t)=\left\langle 2 e^{t}, e^{t} \cos t, e^{t} \sin t\right\rangle\), determine the unit tangent vector \(\mathbf{T}(t)\).

Text Transcription:

\mathbf{r}(t)=\left\langle 2 e^{t}, e^{t} \cos t, e^{t} \sin t\right\rangle

\mathbf{T}(t)

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