Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the y? =1 with sides parallel to the coordinate axes. ellipse 16 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
Section11.3: Hyperbolas
Problem 38E
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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
x² y?
ellipse
16
.2
= 1 with sides parallel to the coordinate axes
4
Let length be the dimension parallel to the X-axis and let width be the dimension parallel to the y-axis.
Length
Width
%3D
(Type exact answers, using radicals as needed.)
Transcribed Image Text:Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the x² y? ellipse 16 .2 = 1 with sides parallel to the coordinate axes 4 Let length be the dimension parallel to the X-axis and let width be the dimension parallel to the y-axis. Length Width %3D (Type exact answers, using radicals as needed.)
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