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This is from a pyp, but no answers were given so i want to know to solve. QUESTION 4. (20 marks) Prove that for any

This is from a pyp, but no answers were given so i want to know to solve.

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QUESTION 4. (20 marks) Prove that for any differentiable convex function f : R" - R and any vector p E R", the function g : (x, y) E R" x R - pix + y has a global minimum over the epigraph epi ( f) = {(x, y) ER" XR : f(x)

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