Paths of moons An idealized model of the path of a moon ( relative to the Sun) moving with constant speed in a circular orbit around a planet, where the planet in turn revolves around the Sun, is given by the parametric equations x1u2 = a cos u + cos nu, y1u2 = a sin u + sin nu. The distance from the moon to the planet is taken to be 1, the distance from the planet to the Sun is a, and n is the number of times the moon orbits the planet for every 1 revolution of the planet around the Sun. Plot the graph of the path of a moon for the given constants; then conjecture which values of n produce loops for a fixed value of a. a. a = 4, n = 3 b. a = 4, n = 4 c. a = 4, n = 5 10

Monday: 16 October 2017 Summary of class: Went over obj 11 Notes: Wednesday: 18 October 2017 Summary of class: Went over obj 12 Notes: Friday: 20 October 2017 Summary of class: Went over obj 13 Notes: Monday: 16 October 2017 Summary of class: Went over obj 11 Notes: Wednesday: 18 October 2017 Summary of class: Went over obj 12 Notes: Friday: 20 October 2017 Summary of class: Went over obj 13 Notes: