Barrons AP Calculus

Figure  N1–10

The function defined by the parametric equations here is , whose
graph is at the right above; its domain is x 1 and its range is the set of
nonnegative reals.

Example 14 __

A satellite is in orbit around a planet that is orbiting around a star. The satellite
makes 12 orbits each year. Graph its path given by the parametric equations

x   =   4   cos t + cos 12t,

y   =   4   sin t + sin 12t.

BC  ONLY

SOLUTION: Shown below is the graph of the satellite’s path using the
calculator’s parametric mode for 0 ≤ t ≤ 2π.