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[Solution Library] A lamp is suspended above the center of a round table of radius r. How high above the table should the lamp be placed to achieve maximum

Question: A lamp is suspended above the center of a round table of radius \(r\). How high above the table should the lamp be placed to achieve maximum illumination at the edge of the table? [Assume that the illumination \(I\) is directly proportional to the cosine of the angle of incidence \(\phi\) of the light rays and inversely proportional to the square of the distance \(l\) from the light source

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