3. Define $\cosh t = \frac{e^t + e^{-t}}{2}$. Sketch curve $\gamma(t) = (t, \cosh t)$, $t \in \mathbb{R}$. Compute its curvature $\kappa(t)$ and signed curvature $\kappa_s(t)$. \newline For, say, $t \ge 0$ find its unit speed parametrisation $\alpha(s)$. \newline Compute curvature $\kappa(t)$ and signed curvature $\kappa_s(t)$ of curve $t \mapsto (\cos^3 t, \sin^3 t)$. \newline Think $t$ is in a small interval around $\pi/4$.