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then div f = The value of the surface integral J Jxds. where S is the surface of the sphere xty+z=11, is: If F(x,y,z)=x2 i

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then div f = The value of the surface integral J Jxds. where S is the surface of the sphere xty+z=11, is: If F(x,y,z)=x2 i + xy j + 5 k and S is the surface z=5-x2-y above xy-plane, then S SF.ds = If F(x.y.z)= , and C is the curve of intersection of the plane y+z= 20 and the cylinder x?+y?= 15(Orient to be counterclockwise when viewed from above.). then SF.dr= -7+2=2 If F(x.y.z) =, and S is the part of the paraboloid z=xty that lies inside the cylinder x +y? =9 (Oriented upward. ). then curt F.ds=

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