Suppose F = (4y, -3x, 5y) and S is a surface bounded by C, the circle x + y = 9, z = 2, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation f F . dr. (Use symbolic notation and fractions where needed.) curl(F) . ds = b F . dr =Suppose F = (y + 6x, 3x + 2z, 9y + 4x) and S is a surface bounded by C, a circle with radius 5, center at (4, 0. 0), in the plane x = 4, and oriented counterclockwise as viewed from the origin (0, 0, 0). Find the flux of curl(F) across S and then evaluate the circulation & F . dr. (Use symbolic notation and fractions where needed.) curl (F) . ds = OF . dr =Suppose F = (2y, -3z, 3x) and S is that portion of the plane x + 2y + 3z = 1 that is the first octant of space, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation of F . dr, where C is the boundary of S. (Give an exact answer. Use symbolic notation and fractions where needed.) curl (F) . ds = OF . dr =