(Solved): Match equation graph with its parametric equation. Not all equations will be used. All graphs show ...

Match equation graph with its parametric equation. Not all equations will be used. All graphs shown for \( -5 \leq t \leq 5 \) a. \( \left\{\begin{array}{l}x(t)=t+\cos (t) \\ y(t)=t+\sin (t)\end{array}\right. \) b. \( \left\{\begin{array}{l}x(t)=e^{t} \\ y(t)=t^{2}\end{array}\right. \) c. \( \left\{\begin{array}{l}x(t)=t \cos (t) \\ y(t)=t \sin (t)\end{array}\right. \) d. \( \left\{\begin{array}{l}x(t)=t^{2} \\ y(t)=t^{3}\end{array}\right. \) e. \( \left\{\begin{array}{l}x(t)=t^{3} \\ y(t)=t^{2}\end{array}\right. \)