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Mathematics, 08.05.2021 01:20 gbprulesmile

A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating the parabola x2=y around its axis of symmetry (assume that x and y are in units of inches). In order to have the brightest, most concentrated light beam, how far from the vertex should the bulb be placed? Express your answer as a fraction or a decimal rounded to two decimal places.

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