2. For the vector field F(x, y, z) = (x²y, xyz, −x²y²) F(x, y, z)=(x2y,xyz,-x2 y 2 ), find: (a) div (F)div (F) (b) curl (F)curl(F) (c) div (curl (F))

For the vector field (x, y, 2) evaluate the line integral along the curve made of three adjacent segments. from (1,2,8) to (3,0,3) from (3, 0,3) to (-1,0, 2) from (-1, 0, 2) to (0,0,7)

For the vector field (x³z², 0, -x²z), evaluate the line integral on the clase curve made by a square in the (x, 2) plane with corners at (1,0,1), (-1,01), (-1,0, -1), (1, 0,-1) in the counter clockwise direction.

Show that Green's Theorem holds for the vector fieldF(x, y)=(x +y, 3x) at a square of side 2.