pwede po ba patulong sa analytic geometry..

1. a satellite has an elliptic orbit with the earth at one focus. at its closest point it is 100 miles above the surface of the earth; at its farthest point 500 miles. find the polar equation of its path. (take the radius of the earth to be 4000 miles.)

2. a hall that is 10 ft. wide has a ceiling that is a semi-ellipse. the ceiling is 10 ft high at the sides and 12 ft high in the center find its equation with the x axis horizontal and the origin at the center of the ellipse.