**(a) Sketch the plane curve with the given vector equation .**

**(b) Find rt (t).**

**© Sketch the position vector r(t) and the tangent vector rt (t) for the given value of t.**

**r(t) = e2t i + et j, t = 0**

**Answer:**

**(a) Sketch the plane curve with the given vector equation .**

**(b) Find rt (t).**

**© Sketch the position vector r(t) and the tangent vector rt (t) for the given value of t.**

**r(t) = e2t i + et j, t = 0**

**Answer:**