Find the dimensions of the rectangle of largest perimeter that can be inscribed in the ellipse x2/a2 + y2/b2 = 1 with sides parallel to the coordi-nate axes. What is the largest perimeter?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 28E
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Find the dimensions of the rectangle of largest perimeter that can be inscribed in the ellipse x2/a2 + y2/b2 = 1 with sides parallel to the coordi-nate axes. What is the largest perimeter?

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