Finding Maximum and Minimum Values (a) Let and Graph

Chapter 13, Problem 5

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Finding Maximum and Minimum Values (a) Let and Graph various level curves of and the constraint in the plane. Use the graph to determine the maximum value of subject to the constraint Then verify your answer using Lagrange multipliers. (b) Let and Find the maximum and minimum values of subject to the constraint Does the Method of Lagrange Multipliers work in this case? Explain.

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