?Given \(\mathbf{r}(t)=\left\langle 2 e^{t}, e^{t} \cos t, e^{t} \sin t\right\rangle\)
Chapter 3, Problem 116(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 \(\mathbf{T}(t)\) evaluated at \(t\)=0.
Text Transcription:
\(\mathbf{r}(t)=\left\langle 2 e^{t}, e^{t} \cos t, e^{t} \sin t\right\rangle
\mathbf{T}(t)
\(t\)=0.
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