Hints for procedure: step (1) parameterize the three individual pieces of C. (2) find F(c(t)) for each piece (3)compute F(c(t))*c(t) for each piece. (4) evaluate the right side of Stokes theorem. (5) compute curl (F). (6) Find curl(F)*n dS. (7) carry out appropriate surface integration to get the left side of Stokes theorem

1. Let C be the path formed by traveling form the origin to (1, 0, 1) along a straght line segment, then to (0, 1, 1) along a quarter-circle and from there straight back to the origin (see figure). 'S Carred part only y Let F(x, y. 2) - 27 + zyk. Let S be the conical part enclosed by C, where the equation of the cone is z -r = v22 + y?. Verify Stokes' theorem for the surface S and its boundary C