Use Theorem 10 to find the curvature.

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

\mathbf{r}(t) = t \mathbf{i} + t^2 \mathbf{j} + e^t \mathbf{k}