Question: For positive constants A and B, the force between two atoms in a molecule is given by F(r) = A/r 2 + B/r 3 ,

For positive constants A and B, the force between two atoms in a molecule is given by F(r) = A/r² + B/r³ , where r > 0 is the distance between the atoms. What value of r minimizes the force between the atoms? Your answer will be a formula r = ... with A and B in the right-hand side. Explain why the determined value gives minimum (not maximum) to F.

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