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 & 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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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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