Let S be the surface given by z = 1 − x² - y² above the region in the xy-plane given by 0 ≤ x ≤1 and 0 ≤ y ≤ 1 with upwards orientation. Which of the following integrals represents the flux of F(x, y, z) = (x, y, 1) through S. 1 1 0 (x + y + 1) √√1 + 4x²+4y² dxdy V S² So² (x + y + 1 − x² - v ²) √ 1 + 4x² +4y² dady √ √² (2x² + 2y² + 1) dxdy ² (1 – 2x² - 2y²) dxdy 0 None of the above.

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