2 (Circulation and Stokes' Theorem). This problem focuses on understanding the circulation of a vector field around a space curve using both a direct line integral and Stokes' theorem. Let the vector field F be given by F(x, y, z) = y, x, z. Let C be the closed space curve formed by the intersection of the two cylinders x 2 + z 2 = 2, y (, ), x 2 + y 2 = 1, z (, ), with the additional condition z > 0. The curve C is oriented in the standard (counterclockwise) direction as viewed from the positive z-axis. Compute the circulation of F along C, that is