1. The problem statement, all variables and given/known data Verify Stokes' theorem ∫c F • t ds = ∫∫s n ∇ × F dS in each of the following cases: (a) F=i z2 + j y2 C, the square of side 1 lying in the x,z-plane and directed as shown S, the five squares S1, S2, S3, S4, S5 as shown in the figure. (b) F = iy + jz + kx C, the three quarter circle arcs C1, C2, and C3 directed as shown in the figure. S, the octant of the sphere x2 + y2 + z2 = 1 enclosed by the three arcs. (c) F = iy - jx + kz C, the circle of radius R lying in the xy-plae, centered at (0,0,0) and directed as shown in the figure. S, the curved upper surfaces of the cylinder of radius R and height h. 2. Relevant equations ∫c F • t ds = ∫∫s n ∇ × F dS Stokes' theorem 3. The attempt at a solution I have been staring at this problem for two weeks and every time I think i get it, i find out I'm wrong. Please help!