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...Vector integral calculus in space a fields the vectors are all unit pointing radially outward b at p has its head on y axis and is perpendicular to it xi yj z k j yk eld f m i n parallel plane x if normal condition therefore or most general such where functions of surface integrals flux wehave through s ds area since everywhere tangent cylinder hence ux so region base height calculating spherical coordinates sin d inner cos outer e exercises dxdy xy dy paraboloid by notes v this points generally up component positive r interior circle projection onto above dr...