12. Let X and Y have the joint probability density function f(x, y) = if 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 elsewhere. Calculate P(X+Y ≤ 1/2), P(X-Y ≤ 1/2), P(XY ≤ 1/4), and P(X²+Y² ≤ 1).

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