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Please solve asap and if its a probability question please answer with e^ the number no matter how small it is THIS IS THE RELEVANT

Please solve asap and if its a probability question please answer with e^ the number no matter how small it is THIS IS THE RELEVANT INFO ONLY. THIS IS ALL INFO PROVIDED

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Given the function f(r) = arctan a > 0, a. Discuss if the Fourier transform of f exists as an ordinary function; b. Derive the expression of f(v) for a = 1

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