Exercise 6.8(6,7,8)

Calculus 3 (Problems on "The Divergence Theorem ")

. Question 4 l3 0/1 pt '0 100 23 99 (D Details Use the Divergence Theorem to compute the flux of the field z 1 out of the region E that lies between the spheres Let 17 = (3:3 cos z, 5 3w2ycos z 3yz2 sin 9:, z3 sin 9:) be the velocity field of a fluid. Compute the flux of 5 across the surface :32 + y + 22 = 4 where y > 0 and the surface is oriented away from the origin. Hint: Use the Divergence Theorem. . Question 6 l3 0/1 pt '0 100 23 99 (D Details Let T be the tetrahedron with vertices at the origin and (8,0,0), (0,6,0) and (0,0,2). Afluid flows with velocity (36\