Let F(x, y, z) = (2x, y, –2z) be the velocity field of a fluid. (a) Calculate the surface integral || F ·ñdS, where o is the portion of the plane x + y + z = 1 in the first octant oriented positively. (b) Let o be the boundary of the solid enclosed by the cylinder x² + y? = 1 and the planes z :0 and z = 3. Use the Gauss' Divergence Theorem to calculate the flux of F across ở.

Q: Use the Divergence Theorem to calculate the surface integral || F. dS; that is, calculate the flux…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: Use the divergence theorem to calculate the surface integral F. dS; that is, calculate the flux of F…

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