Use the Divergence Theorem to calculate the surface integral (A) F(x, y, z) = (2x³ + y³)i + (y³ + z³)j + 3y²z k, S is th

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Use The Divergence Theorem To Calculate The Surface Integral A F X Y Z 2x Y I Y Z J 3y Z K S Is Th 1 (24.46 KiB) Viewed 10 times

Use the Divergence Theorem to calculate the surface integral (A) F(x, y, z) = (2x³ + y³)i + (y³ + z³)j + 3y²z k, S is the surface of the solid bounded by the paraboloid z = 1x² - y² and the xy-plane (B) F(x, y, z)=(xy + 2xz)i + (x² + y²)j + (xy - z³)k, S is the surface of the solid bounded by the cylinder x² + y² = 4 and the planes z = y 2 and z = 0 (C) F = |r|r, where r = xi+yj + zk, S consists of the hemisphere z = √√√1-x² - y² and the disk x² + y²1 in the xy-plane