?A particle moves along the plane curve C described by \(\mathbf{r}(t)=t

Chapter 3, Problem 150

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A particle moves along the plane curve C described by \(\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}\) Solve the following problems.

Find the curvature of the plane curve at t = 0, 1, 2.

Text Transcription:

mathbf.r(t)=t mathbf.i+t^2 mathbfj

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