Question: Set up (DO NOT evaluate) the surface integral to evaluate the flux, ff F - 7: d8, of the vector S eld F = (y,

 Set up (DO NOT evaluate) the surface integral to evaluate the

Set up (DO NOT evaluate) the surface integral to evaluate the flux, ff F" - 7\": d8, of the vector S eld F" = (y, at, at + z), where S is the surface of the cylinder 132 +y2 = 1 and the planes 2 = 1 and z = 2 oriented outward. Use the parametrization for the surface of the cylinder: ?(9, z) = (a cos 6, asinf), 2) with an appropriate (1. When we use a parametrization for the surface integral the region R comes from the parametrized space (6, 2:). Your answer should include a 3D sketch with the the three surfaces we need 0 Appropriate normals for each of the three surfaces 0 Pictures of domain D for each surface integral. a The required surface integral as a sum of the three surface integrals along with the appro- priate integrands

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