Flux through a cylindrical wedge surface

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To find the flux of the vector field A=(2x,-z^2,3xy) through the specified cylindrical wedge surface, the divergence theorem can be applied, but clarification is needed regarding the surface's closed nature. The discussion raises questions about whether the divergence should be calculated and if the vector field needs conversion to cylindrical coordinates. It is noted that the cylindrical wedge represents a quarter of a cylinder, which may affect the final flux calculation. Participants seek guidance on these points and express uncertainty about the appropriateness of the forum for this question. Overall, assistance is requested to navigate the complexities of the problem.
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Homework Statement



If vector A=(2x,-z^2,3xy), find the flux of A through a surface defined by ρ<br /> =2, 0&lt;\phi&lt;\pi/2, 0&lt;z&lt;1

Homework Equations



divA?

The Attempt at a Solution


Can I use divergence here?
This is a closed surface correct? Is this is a cylindrical wedge?
Also do I need to convert the vector field to cylindrical form? Or the defined surface to rectangle form?

If I used divergence do I divide my answer by 4 since the wedge is a 1/4 of the cylinder?

Thanks
 
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