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A headlight is being constructed in the shape of a paraboloid with depth 1.5 inches and diameter 6 inches, as illustrated in the figure below.

A headlight is being constructed in the shape of a paraboloid with depth 1.5 inches and diameter 6 inches, as illustrated in the figure below. Determine the distance d that the bulb should be form the vertex in order to have the beam of light shine straight ahead.

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