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Function of multiple variables

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Function of two variables. Finding its hessian matrix and verify whether it is semi-positive or semi-negative definite.

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Solution Summary

The functions of multiple variables are determined.

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a) To find the stationary points, we need to solve the system:

Now we divide first equation by and the second one by and get:

We could see that (0,0) is a solution of the above system, so we conclude that (0,0) is a stationary point.

b) We will continue to find all solutions of the system from part a)
So we go back at the previous system and solve:
We multiply the first ...

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