Compute the curl of the vector field F = (3yz, 6xz, 8xy). curl(F(x, y, z)) = -5yj + 5zk What is the curl at the point (-2, -4, 0)? curl(F (-2, -4, 0)) = Is this vector field irrotational or not? not irrotational(a) Let div 1-5" = 9:2 -+- 93 + z2 + 1. Calculate L91 F' - (ix-1' where 51 is the sphere of radius 1 centered at the origin. (in) Let S; be the sphere of radius 4 centered at the origin; let S; be the sphere of radius 7 centered at the origin; let .34 he the box of side 8 centered at the origin with edges parallel to the axes. Without calculating them, arrange the following integrals in increasing order: A=fF-di, B: F-d, C= Rabi. S: S! 3\" Av