Section 13.2: Derivatives and Integrals of Vector Functions

Exercise 3

  1. Sketch the plane curve with the given vector equation.
  2. Find \(\mathbf{r}'(t)\).
  3. Sketch the position vector \(\mathbf{r}(t)\) and the tangent vector \(\mathbf{r}'(t)\) for the given value of t. \(\mathbf{r}(t) = \langle t-2, t^2+1 \rangle, t=-1\)