Apply the method of Lagrange multipliers to the function ƒ(x, y) = (x² + 1) y subject to the constraint x² + y² = 86. Hint: First, show that y # 0. Then treat the cases x = 0 and x 0 separately. (Use decimal notation. Give your answers to two decimal places.) maximum: minimum:

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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Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the constraint x² + y² = 86.
Hint: First, show that y # 0. Then treat the cases x = 0 and x # 0 separately.
(Use decimal notation. Give your answers to two decimal places.)
maximum:
minimum:
Transcribed Image Text:Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the constraint x² + y² = 86. Hint: First, show that y # 0. Then treat the cases x = 0 and x # 0 separately. (Use decimal notation. Give your answers to two decimal places.) maximum: minimum:
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