rectangle of maximum perimeter is to be inscibed in the ellipse x^2/22^2 + y^2/12^2 = 1. The rectangle's sides are parallel to the axes of the ellipse. Find the larger dimension of this rectangle. Round off to two decimal places

rectangle of maximum perimeter is to be inscibed in the ellipse x^2/22^2 + y^2/12^2 = 1. The rectangle's sides are parallel to the axes of the ellipse. Find the larger dimension of this rectangle. Round off to two decimal places

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 44E

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Question

A rectangle of maximum perimeter is to be inscibed in the ellipse x^2/22^2 + y^2/12^2 = 1. The rectangle's sides are parallel to the axes of the ellipse. Find the larger dimension of this rectangle. Round off to two decimal places.

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