Textbook Problem

Writing

(a) Each set of parametric equations represents the motion

of a particle. Use a graphing utility to graph each set

First Particle: $x=3\cos t,y=4\sin t,0\le t\le 2\pi$

Second Particle: $x=4\sin t,y=3\cos t,$.

$0\le t\le 2\pi$

(b) Determine the number of points of intersection.

(c) Will the particles ever be at the same place at the same time? If so. identify the point(s).