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. \(\mathbf{r}(t) = \cos t \mathbf{i} + 3t \mathbf{j} + 2\sin 2t \mathbf{k}, t=0\)