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(a) Find the unit tangent and unit normal vectors $\mathbf{T}(t)$ and $\mathbf{N}(t)$ .

(b) Use Formula 9 to find the curvature.

$$\mathbf{r}(t)=\left\langle\sqrt{2} t, e^{t}, e^{-t}\right\rangle$$

$$

\frac{\sqrt{2}}{\left(e^{t}+e^{-t}\right)^{2}}

$$

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