3y z -)î+(2yz + x2+y2 3xyz Given the vector field F = (2xz- j– 4xk. x²+y? a. [12%] Calculate the outward flux of the vector V x F through the surface S bounded by C. C is the curve of intersection of the plane z = 2 and the part of cylinder x + y = 4 in which 0 <0< T14. C is oriented counter clockwise direction when viewed from above. %3D b. [3%] Use Stokes' theorem to evaluate the work done by F over the closed path C of part (a).

3y z -)î+(2yz + x2+y2 3xyz Given the vector field F = (2xz- j– 4xk. x²+y? a. [12%] Calculate the outward flux of the vector V x F through the surface S bounded by C. C is the curve of intersection of the plane z = 2 and the part of cylinder x + y = 4 in which 0 <0< T14. C is oriented counter clockwise direction when viewed from above. %3D b. [3%] Use Stokes' theorem to evaluate the work done by F over the closed path C of part (a).