Let F = x21+ (6xy + x)j + zk. Let C be the circle x2 + y2 = 4 and S the disc x2 + y2 4 within the plane z = O. (a) Determine the flux of F out of S. F-ds-10 (b) Determine the circulation of F around C. (c) Find the flux of V x F. Verify Stokes' theorem directly in this case. (Vx F) ds
Show transcribed image textLet F = x21+ (6xy + x)j + zk. Let C be the circle x2 + y2 = 4 and S the disc x2 + y2 4 within the plane z = O. (a) Determine the flux of F out of S. F-ds-10 (b) Determine the circulation of F around C. (c) Find the flux of V x F. Verify Stokes' theorem directly in this case. (Vx F) ds