?Sketch the curve of the vector-valued function \(\mathbf{r}(t)=3 \sec t \ \mathbf{i}+2

Chapter 3, Problem 3

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Sketch the curve of the vector-valued function \(\mathbf{r}(t)=3 \sec t \ \mathbf{i}+2 \tan t \ \mathbf{j}\) and give the orientation of the curve. Sketch asymptotes as a guide to the graph.

Text Transcription:

r(t) = 3 sec t i + 2 tan t j

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