Section 13.2: Derivatives and Integrals of Vector Functions

Find the unit tangent vector \(\mathbf{T}(t)\) at the point with the given value of the parameter t. \(\mathbf{r}(t) = \langle t^2-2t, 1+3t, \frac{1}{3}t^3 + \frac{1}{2}t^2 \rangle, t=2\)