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A particle performs harmonic oscillation...

A particle performs harmonic oscillations along the `x` axis according to the law` x=a cos omega t`. Assuming the probablity `P` of the particle to fall withing an interval from `-a` to `+a` to be equal to unity, find how the probability density `dP//dx` depends on `x`. Here `dP` denotes the probablitity of the particle falling within an interval frm `x` to `x+ dx`. Plot `dP//dx` as a function of `x`.

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