Find the sum of maximum and minimum values of the function f(x, y, 2) = 4x + 8y + 12z on the elipse thatis formed by the intersection of the cylinder ? +3?Türkçe:f(x, y, z) = 4x + 8y + 12z fonksiyonunun x2 + y? = 16 silindiri ve y + z = 4 düzleminin kesişmesi ile= 16 and the plane y+ z = 4oluşan elips üzerindeki maksimum ve minimum değerlerinin toplamını bulunuz.

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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 x? +y² = 16 and the plane y+ z = 4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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Question

Find the sum of maximum and minimum values of the function f(x, y, 2) = 4x + 8y + 12z on the elipse that
is formed by the intersection of the cylinder ? +3?
Türkçe:f(x, y, z) = 4x + 8y + 12z fonksiyonunun x2 + y? = 16 silindiri ve y + z = 4 düzleminin kesişmesi ile
= 16 and the plane y+ z = 4
oluşan elips üzerindeki maksimum ve minimum değerlerinin toplamını bulunuz.

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