Use Lagrange multipliers to find the possible maximum or minimum points on that part of the surface z x y for which y x 5 x 2 Then use your calculator to sketch the curve y x 5 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...

The three Lagrange equations are From the second equation 1 Then from t ...

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

Question:

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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