The body D in the first octane is delimited by the cylinder x² + y = 1 and the planes x = 0, y = 0, z = 0 and z = 1. Let

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The Body D In The First Octane Is Delimited By The Cylinder X Y 1 And The Planes X 0 Y 0 Z 0 And Z 1 Let 1 (133.79 KiB) Viewed 36 times

The body D in the first octane is delimited by the cylinder x² + y = 1 and the planes x = 0, y = 0, z = 0 and z = 1. Let S be the entire surface of D with outer unit normal Ñ. Let So be that part of S lying on x² + y = 1. Let C be the boundary curve of So with orientation inherited from So. Let the vector field F be given by: F(x, y, z) = [3z, yz, 2y]. I. a. Find div F and curl F, and make a sketch of D where the flat So and the direction of the edge curve C to So are marked. b. Find the flux of F out of S, F.Nas. c. Find the circulation of F around the edge curve C, f. F. dr.