# Ellipsoid Problem: The ellipse with x-radius 5 and y-radius 3 and parametric equations x ## Problem 23 Chapter 8-6

Calculus: Concepts and Applications | 2nd Edition

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Problem 23

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.

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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...

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##### ISBN: 9781559536547

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