Use Lagrange multipliers to find the possible maximum or minimum points on that part of the surface

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Use Lagrange multipliers to find the possible maximum or minimum points on that part of the surface z = x − y for which y = x5 + x − 2. Then use your calculator to sketch the curve y = x5 + x − 2 and the level curves to the surface f(x, y) = x − y and show that the points you have just found do not represent relative maxima or minima. What do you conclude from this observation?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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