Help with exercise 21.W and 21.XDemonstrate step by step, so that you can understand the proof, please (mentioning the definitions used) 21.W. Show that the functionf(i, n) = (n – *) (n – 25*)does not have a relative extremum at 0 = (0, 0) although it has a relativeminimum along every line = at, n = ßt.21.X. Find the dimensions of the box of maximum volume which can befitted into the ellipsoidto1,assuming that each edge of the box is parallel to a coordinate axis.+

21 X. Let us rename variables in 21 X, the problem by introducing cartesian coordinates x ,y and z…

Answered: 21.X. Find the dimensions of the box of…

21.X. Find the dimensions of the box of maximum volume which can be fitted into the ellipsoid 1, c2 assuming that each edge of the box is parallel to a coordinate axis. + +

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

Help with exercise 21.W and 21.X

Demonstrate step by step, so that you can understand the proof, please (mentioning the definitions used)

21.W. Show that the function
f(i, n) = (n – *) (n – 25*)
does not have a relative extremum at 0 = (0, 0) although it has a relative
minimum along every line = at, n = ßt.
21.X. Find the dimensions of the box of maximum volume which can be
fitted into the ellipsoid
to
1,
assuming that each edge of the box is parallel to a coordinate axis.
+

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