Answer: Sketching a Graph and Vectors In Exercises 3336, sketch the graph of the plane

Chapter 12, Problem 36

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Sketching a Graph and Vectors In Exercises 33-36, sketch the graph of the plane curve given by the vector-valued function, and, at the point on the curve determined by \(\mathrm{r}\left(t_{0}\right)\), sketch the vectors T and N. Note that N points toward the concave side of the curve.

Vector-Valued Function                                                    Time

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

Text Transcription:

t_0

r(t)=2 cos t i + 2 sin tj

t_0=pi/4

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