The solid V is the cube -1 x 1, -1 y 1, -1 < ...

 

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The solid V is the cube -1 x 1, -1 y 1, -1 < <1. The closed surface S is the boundary of V. The vector field F is defined by F(x, y, z) = yx2i+yj+zk i) State the Divergence Theorem. ii) Apply the divergence theorem to calculate the flux F.n.dS of the field F through the surface S. iii) Calculate the flux of the field F through the surface S' obtained by removing the top side of the cube from the surface S. The solid V is the cube -1 x 1, -1 y 1, -1 < <1. The closed surface S is the boundary of V. The vector field F is defined by F(x, y, z) = yx2i+yj+zk i) State the Divergence Theorem. ii) Apply the divergence theorem to calculate the flux F.n.dS of the field F through the surface S. iii) Calculate the flux of the field F through the surface S' obtained by removing the top side of the cube from the surface S.