What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2, subject to the constraint x4 + y4 + z4 = 1 ?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2, subject to the constraint x4 + y4 + z4 = 1 ?

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