?Find the unit tangent vector for the following parameterized curves.\(\mathbf{r}(t)=3

Chapter 3, Problem 57

(choose chapter or problem)

Find the unit tangent vector for the following parameterized curves.

\(\mathbf{r}(t)=3 \cos (4 t) \mathbf{i}+3 \sin (4 t) \mathbf{j}+5 t \mathbf{k}, 1 \leq t \leq 2\)

Text Transcription:

\mathbf{r}(t)=3 \cos (4 t) \mathbf{i}+3 \sin (4 t) \mathbf{j}+5 t \mathbf{k}, 1 \leq t \leq 2

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