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A detector measures a positron moving through an electromagnetic field along a path given by r...

A detector measures a positron moving through an electromagnetic field along a path given by r = 5sqrt( (x+3)^2 + y). Here, x and y correspond to the particle's location, (x,y), and r the distance from the detector. The field strength is governed by the equation y - sqrt(2)x = 0. Find the minimum distance from the detector that the positron achieves.

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