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  3. consider the following function: f (x , y , z ) =

Consider the following function: f (x , y , z ) = x 2 + y...

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Question

Basic Math

Consider the following function:
f (x , y , z ) = x 2 + y 2 + z 2 − x y − y z + x + z

  1. (a) This function has one critical point. Find it.

  2. (b) Compute the Hessian of f , and use it to determine whetherthe critical point is a local man, local min, or neither?

  3. (c) Is the critical point a global max, global min, or neither?Justify your answer.

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