In Exercises 4954, sketch the graph of the plane curve given by the vector-valued

Chapter 12, Problem 49

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In Exercises 49–54, sketch the graph of the plane curve given by the vector-valued function, and, at the point on the curve determined by r(\(t_{0}\)), sketch the vectors T and N. Note that N points toward the concave side of the curve.

            Function                                                                                  Time

\(\mathbf{r}(t)=t \mathbf{i}+\frac{1}{t} \mathbf{j}\)                   \(t_{0}\)=2

Text Transcription:

r(t)=t i+1/t j

t_0

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