Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (2x - 7y)i + (5y - 7x)j and curve C: the square bounded by x = 0, x= 8, y =0, y = 8. The flux is (Simplify your answer.)Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (3y- - 8x )i+ (8x + 3y") j and curve C: the triangle bounded by y = 0, x = 3, and y = x. The flux is (Simplify your answer.)Use Green's Theorem to find the counterclockwise Ay circulation and outward flux for the field F and curve C. (1,1) F= (4xy + 2y?)i+ (4x - 2y)j C y =x' 2 (0,0) The outward flux is (Type an integer or a simplified fraction.)Use Green's Theorem to find the counterclockwise AY circulation and outward flux for the field F and curve C. (3.3) 11 y=X 4 C F = 11x y i+ 2 x yj (0,0) y= x- - 2x The outward flux is (Type an integer or a simplified fraction.)Find the work done by F = 3xy"i + 8x y"j in moving a particle once counterclockwise around the curve C: the boundary of the "triangular" region in the first quadrant enclosed by the x-axis, the line x = 1, and the curve y = x". The amount of work done is (Type a simplified fraction.)