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Vijay posted an Question
February 09, 2021 • 00:38 am 30 points
  • IIT JAM
  • Mathematics (MA)

Please send the solution to the problem given in the attachment.

please send the solution to the problem given in the attachment

1 Answer(s) Answer Now
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    Vijay Singh chauhan

    I think you are talking about the greens theorem, am I right Deepak sir?

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    Deepak singh 1 Best Answer

    Here, we can not apply divergence theorem because region is not closed by xy plane .

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    but the surface (sphere) is closed.

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    here you are talking about the greens theorem, am I right Deepak sir?

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    here S is only part of upper surface of sphere not including z=0 plane ...

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    upper surface is bounded by hemisphere but lower part of S is not bounded ..

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    I am not talking greens theorem . but saying about divergence ..

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    okay, now I got you Deepak sir.

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    Thank you for your clarification.

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    which theorem should I apply here??

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    solve direct

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    find n cap from surface S and then solve ...

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    https://youtu.be/EMvdimO7qpk , go through this link , it will help u

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