Section 13.2: Derivatives and Integrals of Vector Functions
Completion requirements
Exercise 6
- Sketch the plane curve with the given vector equation.
- Find \(\mathbf{r}'(t)\).
- Sketch the position vector \(\mathbf{r}(t)\) and the tangent vector \(\mathbf{r}'(t)\) for the given value of t. \(\mathbf{r}(t) = e^t\mathbf{i} + 2t\mathbf{j}, t=0\)