Solved: In Exercises 4954, sketch the graph of the plane curve given by the

Chapter 12, Problem 53

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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

\(\mathbf{r}(t)=2 \cos t \mathbf{i}+2 \sin t \mathbf{j}\)                   \(t_{0}=\frac{\pi}{4}\)

Text Transcription:

r(t)=3  cos t i+2  sin t j

t_0=pi/4

t_0