?Find the unit tangent vector \(\mathbf{T}(t)\) and unit normal vector \(\mathbf{N}(t)\)
Chapter 3, Problem 120(choose chapter or problem)
Find the unit tangent vector \(\mathbf{T}(t)\) and unit normal vector \(\mathbf{N}(t)\) at \(t\) = 0 for the plane curve \(\mathbf{r}(t)=\left\langle t^{3}-4 t, 5 t^{2}-2\right\rangle\). The graph is shown here:
Text Transcription:
\mathbf{T}(t)
\mathbf{N}(t) at \(t\) = 0
\mathbf{r}(t)=\left\langle t^{3}-4 t, 5 t^{2}-2\right\rangle\
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