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(Solved): help on steps I put the answerrs Fomula 9: a. Find the unit tangent and unit normal vectors \( ...
help on steps I put the answerrs
![\[
r(t)=\left\langle t, t^{2}, 4\right\rangle
\]
Answer 4
a. \( \frac{1}{\sqrt{1+4 t^{2}}}(1,2 t, 0) \)
b. \( 2 /\left(1+4 t^](https://media.cheggcdn.com/study/5dc/5dcd656b-4a4b-45fe-842f-dac5f1482537/image)
Fomula 9:
a. Find the unit tangent and unit normal vectors \( \mathbf{T}(t) \) and \( \mathbf{N}(t) \). b. Use Formula 9 to find the curvature.
\( \kappa(t)=\left|\frac{\mathbf{T}^{\prime}(t)}{\mathbf{r}^{\prime}(t)}\right| \)
\[ r(t)=\left\langle t, t^{2}, 4\right\rangle \] Answer 4 a. \( \frac{1}{\sqrt{1+4 t^{2}}}(1,2 t, 0) \) b. \( 2 /\left(1+4 t^{2}\right)^{3 / 2} \)