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
Posted: Wed Jul 06, 2022 11:45 am
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