Consider the polar equation of an ellipse r = ed/(1 e cos ), where 0 <
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Consider the polar equation of an ellipse r = ed/(1 ± e cos θ), where 0 < e < 1. Evaluate an integral in polar coordinates to show that the area of the region enclosed by the ellipse is πab, where 2a and 2b are the lengths of the major and minor axes, respectively.
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Note that a ed and b a1e so the ellipse given by ab Va sin 0 b cos 0 has th...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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