(Solved): Given parametric equations and parameter intervals for the motion of a particle in the xy-plane be ...

Given parametric equations and parameter intervals for the motion of a particle in the xy-plane below, identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. \[ x=5 \cos (t), y=3 \sin (t), 0 \leq t \leq 2 \pi \] The Cartesian equation for the particle is