(14) (a) Use Stokes' theorem to solve ScF.dr, where F(x, y, z) = (x + y)i + (y+z)j +(2+x)k and C is the boundary of the part of the plane 3x +2y+z=1 in the first octant, oriented counterclockwise when observed from above. (b) Use Stokes' theorem to solve SS curl(F)ds, where F(x, y, z) = 2y cos zi + e* sin zj + reyk and S is the hemisphere x

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(14) (a) Use Stokes' theorem to solve ScF.dr, where F(x, y, z) = (x + y)i + (y+z)j +(2+x)k and C is the boundary of the part of the plane 3x +2y+z=1 in the first octant, oriented counterclockwise when observed from above. (b) Use Stokes' theorem to solve SS curl(F)ds, where F(x, y, z) = 2y cos zi + e* sin zj + reyk and S is the hemisphere x2 + y2 + 22 = 9, 2 > 0, oriented upward.

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