(a) Find the unit tangent and unit normal vectors and . (b) Use Formula 9 to find the…

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

Problem

(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) = \langle t, t, \frac{1}{2}t^2 \rangle