Let F and F' be fixed points with polar coordinates (a, 0) and (-a, 0), respectively. Show

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Let F and F' be fixed points with polar coordinates (a, 0) and (-a, 0), respectively. Show that the set of points P satisfying |PF| |PF'| = a2 is a lemniscate by finding its polar equation.

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 10:46 AM

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Let F and F' be fixed points with polar coordinates (a, 0) and (-a, 0), respectively. Show

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r 4 2a 2 r 2 a 4 4a 2 r 2 cos2 a 4 r 4 4a ...View the full answer

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