Evaluate the surface integrals F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xyi + yzj + zxk, S is the part of the paraboloid z = 2 - x² - y² that lies above the square 0 ≤ x ≤ 1,0 ≤ y ≤ 1, and has upward orientation

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