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I have no idea how to start this problem...I thought about using optimization but I'm not sure where to start

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I have no idea how to start this problem...I thought about using optimization but I'm not sure where to start

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SteamKing

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Similarly, what would the illumination of bulb B be at a distance x?

Assuming that the illumination at a point between the two bulbs A and B is additive, how would you go about finding the point of least illumination?

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