Answered: Use the method of Lagrange multiplier…

Use the method of Lagrange multiplier to determine the absolute maximum and minimum values of the function subject to the given constraint. f(x,y,z) = xyz where x2+y2+z2=1

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.

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Question

Use the method of Lagrange multiplier to determine the absolute maximum and minimum values of the function subject to the given constraint.
f(x,y,z) = xyz where x²+y²+z²=1

the photo has wrong value, there must be a plus in between y² and z²