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Section 13.2: Derivatives and Integrals of Vector Functions

Exercise 6

  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. \(\mathbf{r}(t) = e^t\mathbf{i} + 2t\mathbf{j}, t=0\)