?Find the unit tangent vector \(\mathbf{T}(t)\) for \(\mathbf{r}(t)=3 t \mathbf{i}+5

Chapter 3, Problem 121

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Find the unit tangent vector \(\mathbf{T}(t)\) for \(\mathbf{r}(t)=3 t \mathbf{i}+5 t^{2} \mathbf{j}+2 t \mathbf{k}\)

Text Transcription:

\mathbf{T}(t)\)

 \mathbf{r}(t)=3 t \mathbf{i}+5 t^{2} \mathbf{j}+2 t \mathbf{k}

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