Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse 25 = 1 (-x, y) (х, у) (-X, –y) (x, -y) (Give your answer as a whole or exact number.) S =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse
25
= 1
(-x, y)
(х, у)
(-X, –y)
(x, -y)
(Give your answer as a whole or exact number.)
S =
Transcribed Image Text:Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse 25 = 1 (-x, y) (х, у) (-X, –y) (x, -y) (Give your answer as a whole or exact number.) S =
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