ice the divergence of an inverse flux of an inverse-square field across any closed surface must be zero as well 9-19 Use the Divergence Theorem to find the flux of F across the surface o with outward orientation. 9. Fury.2) = (x'+ witzit(ex - 2k: o is the surface of the rectangular solid bounded led by the coordinate planes and the planes x - 3. y = 1, and 2 = 2. 10. Fur, y. ) = ci - x j+ vik. where o is the spherical sur- face x = + 13 + 2 = a 1. Fur.>.>= G- di+0 - ni+ (2 - >k; o is the surface of the cylindrical solid bounded by a + y = a', = = 0, and z = 1. 12. F(r. y. 2) = xi + yi+zk; o is the surface of the solid bounded by the paraboloid z = 1 - x2 - y and the xy- plane. 13. F(x, v, 2) = xi+ y3j+ 23k; o is the surface of the cylin- drical solid bounded by x2 + v2 = 4, z = 0, and z = 3. 14. F(x, y. >) = (x- + mi+xj - (2xz +y)k; o is the sur- face of the tetrahedron in the first octant bounded by xty + z = I and the coordinate planes. 15. F(x, y. z) = (x3 - ebi + (>3 + sin z)j + (23 - xy)k, where o is the surface of the solid bounded above by z = \\/4- x2 - y2 and below by the xy-plane. [Hint: Use spherical coordinates.] 16. F(x, y, z) = 2xzi + yzj + z k, where o is the surface of the solid bounded above by z = va2 - x2 - y2 and below by the xy-plane