4 Write always, sometimes, or never. 1. Multiplying a decimal by 104 shifts the decimal point 4 places to the right. a 2. The pr
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Since the surface is closed, and the vector field is rather complicated, you can use the divergence theorem. The flux of 
across 
is given by a surface integral, which the divergence theorem asserts is equivalent to a volume integral:
where
denotes the space with boundary . We have
So in fact the flux across happens to be equal (in magnitude) to the volume encased by .
Convert to cylindrical coordinates, setting
where
So in fact the flux across
Convert to cylindrical coordinates, setting