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

Chapter 12, Problem 34

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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

\(\mathbf{r}(t)=t^{3} \mathbf{i}+t \mathbf{j}\)   \(t_{0}=1\)

Text Transcription:

t_0

r(t)=t^3i + tj

t_0=1

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