questions below:

Find the k-component of (curl F) for the following vector field on the plane. F = (7y sin x)i + (9x sin y)j (curl F) . k =Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and Ay + curve C. (1,1) F = (2xy + 3y2) i + (2x - 3y)j X = V C y = x X (0,0) . . . The outward flux is (Type an integer or a simplified fraction.) The counterclockwise circulation is. (Type an integer or a simplified fraction.)Find the work done by F in moving a particle once counterclockwise around the given curve. F = (2x - 4y)i + (4x - 2y)j C: The circle (x - 1)2 + (y - 1)2 = 1 . . . What is the work done in one counterclockwise circulation? (Type an exact, using it as needed.)