Use the divergence theorem, assuming that the assumptions on T and S are satisfied Show that a region T with boundary surface S has the volume where r is the distance of a variable point P (x, y, z) on S from the origin O and Iuml is the angle between the directed line OP and the outer normal of S ...

Use the divergence theorem, assuming that the assumptions on T and S are satisfied. Show that a

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Use the divergence theorem, assuming that the assumptions on T and S are satisfied.

Show that a region T with boundary surface S has the volume

-Hгc V = r cos ф dA

where r is the distance of a variable point P: (x, y, z) on S from the origin O and Ï• is the angle between the directed line OP and the outer normal of S at P.

Make a sketch. Use (2) in Sec. 10.7 with F = [x, y, z].

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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Dec 12, 2018 11:01 AM

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Use the divergence theorem, assuming that the assumptions on T and S are satisfied. Show that a

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-Hгc V = r cos ф dA

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F x y z div ...View the full answer

Advanced Engineering Mathematics

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