Optimal Power Transfer Impedance

An AC voltage source with internal impedance \((3+j3)\) \(\Omega\) feeds a load with a complex impedance of \((A+jB)\) \(\Omega\).

If \(A\) and \(B\) are chosen so as to maximize the active power transferred to the load, what is \((A+B)\)?

Clarification: \(j = \sqrt{-1}\).

Bonus: Can you prove the generalization of this?

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