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A lighthouse is 5 km from the nearest point P on a straight shoreline. The light...

A lighthouse is 5 km from the nearest point P on a straight shoreline. The light revolves 2 revolutions per min. When the light is shining on the shore 1 km from point P, what is the rate of change (km/min) of the light along the shoreline? (1 revolution = 2π = 360◦ and we should use radian instead of degree.)

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