Find the sum of maximum and minimum values of the function f(x, y, z) = 4x + 8y+ 12z on the elipse that is formed by the intersection of the cylinder a? + y? %3D 16 and the plane y+ z = 4

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
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 24WE
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Find the sum of maximum and minimum values of the function
f(x, y, z) = 4x + 8y + 12z on the elipse that is formed by the intersection of the
cylinder a? + y?
%3D
16 and the plane y+ z = 4
Transcribed Image Text:Find the sum of maximum and minimum values of the function f(x, y, z) = 4x + 8y + 12z on the elipse that is formed by the intersection of the cylinder a? + y? %3D 16 and the plane y+ z = 4
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