What is the volume of the largest rectangular parallelepiped which can be inscribed in the ellipsoid + + = 1? Show that the answer you get gives you the largest volume.(DO NOT USE LAGRANGE MULTIPLIERS)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Optimization Question:

x2
What is the volume of the largest rectangular parallelepiped which can be inscribed in the ellipsoid
1? Show that the answer
16
36
you get gives you the largest volume.(DO NOT USE LAGRANGE MULTIPLIERS)
+
+
Transcribed Image Text:x2 What is the volume of the largest rectangular parallelepiped which can be inscribed in the ellipsoid 1? Show that the answer 16 36 you get gives you the largest volume.(DO NOT USE LAGRANGE MULTIPLIERS) + +
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