Ellipsoid Problem: The ellipse with x-radius 5 and y-radius 3 and parametric equations x = 5 cos t y = 3 sin t is rotated about the x-axis to form an ellipsoid (a football-shaped surface). Write an integral for the surface area of the ellipsoid and evaluate it numerically. Show why the Cartesian equation (x/5)2 + (y/3)2 = 1 for the same ellipsoid would be difficult to use because of what happens to dL at the end of the ellipsoid, that is, at x = 5.

Chapter 10 Notes Main things that affect temperature on planets: sunlight, reflection (albedo), rotation, and absorption of infrared light. Majority of gas in the atmosphere is nitrogen. Greenhouse effect has to do with the atmospheric absorption of infrared radiation. A greenhouse gas is one that effectively bounces around molecules coming from the Earth...