Find the minimum and maximum values of the function f(x, y, z) = 3x +2y + 4z subject to the constraint x² + 2y² + 6z² = 36. fmaz fmin

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 14T
icon
Related questions
Question

how to find the min and max values  of the function with respect to the constraint

Find the minimum and maximum values of the function f(x, y, z) = 3x + 2y + 4z subject to the constraint x² + 2y² + 6z² = 36.
fmaz
fmin
=
Transcribed Image Text:Find the minimum and maximum values of the function f(x, y, z) = 3x + 2y + 4z subject to the constraint x² + 2y² + 6z² = 36. fmaz fmin =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 14 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,