Real-World Applicationshard
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The intensity of light (in lumens per square meter) at a distance dd meters from a point source follows the inverse square law: I=P4πd2I = \frac{P}{4\pi d^2}, where PP is the power in lumens. Two lights are positioned 10 meters apart: Light 1 (100 lumens) at position 0 and Light 2 (400 lumens) at position 10. At what distance from Light 1 is the combined intensity minimized?