Section 13.3: Arc Length & Curvature
Exercise 37
Plot the space curve and its curvature function \(\kappa(t)\). Comment on how the curvature reflects the shape of the curve. \(\mathbf{r}(t) = \langle te^t, e^{-t}, \sqrt{2}t \rangle, -5 \le t \le 5\)
Plot the space curve and its curvature function \(\kappa(t)\). Comment on how the curvature reflects the shape of the curve. \(\mathbf{r}(t) = \langle te^t, e^{-t}, \sqrt{2}t \rangle, -5 \le t \le 5\)