A cowboy is practicing his lassoing technique by lassoing the fence posts at his ranch. Consider that is lariat forms a perecly elliptical shape centered at the origin while he twirls it. If the fence posts are 2 inches in circumference and the cowboy would lik to add 5 inches extra "cushion" to the minimum dimension in setting his lariat, what should the length of the minor axis be? If the cowboy likes to set his lariat so that the major axis is twice the minor axi, deermine the equation of the ellipse which models the twieling path of his lariat.