d. Consider the following convex optimization problem min fo(x) s.t. x EN where O C R" is a convex set. Let x* E Xopt. Write out an equivalent condition that characterizes x* and prove your conclusion.

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A: As per guidelines, I can only first three subparts of the question ( parts (a), (b), (c))

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A: As per guidelines, I can do only first three subparts of the question.

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A: The  x co-ordinate of the vertex lies on the axis of symmetry which is situated at the midpoint of…

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A: topic - polynomial and application of derivatives

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A: Given, The function  fx = -2x+42+8  We have to find the true statements from I, II,...,V

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