x y Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse + =1 with sides parallel to the coordinate axes. Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = Width = (Type exact answers, using radicals as needed.)
x y Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse + =1 with sides parallel to the coordinate axes. Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = Width = (Type exact answers, using radicals as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 35E
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