Find a mapping that maps the disk u2 + v2 1 onto the interior of

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Find a mapping Φ that maps the disk u2 + v2 ≤ 1 onto the interior of the ellipse (-) +  1. Then use the Change of Variables Formula to prove that the area of the ellipse is πab.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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