Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse x2/16 + y2/9 = 1 with sides parallel to the coordinate axes.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 45E
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Use the method of
Lagrange multipliers to find the dimensions of the rectangle of
greatest area that can be inscribed in the ellipse x2/16 + y2/9 = 1
with sides parallel to the coordinate axes.

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