Please solve and show working

QUESTION 5 At any point (a,b,c) in the domain of a vector field F, div(curl(F))(a,b,c) = 0. O True O False QUESTION 6 Let flu,v)=(x(u,v).y(u,v),z(u,v)) be a parametrizat Of is a vector that is tangent to the surface. du O True O FalseQUESTION 7 Let C be a plane curve parametrizationere the domain of r is [-1,1]). Denote by G the curve parametrization J F . dr = - J F. dr. True O False QUESTION 8 Calculate the circulation of the field F around the closed curve C. F=y 21 + x 3 ]: curve C is the counterclockwise path around the triangle with vertices at (0, 0), (2,0), and (0, 4) O 56 3 O O QUESTION 9 Find the divergence of the field F. F = _vi-zk ( 32+ 22)1/2