Shelly posted an Question
May 27, 2020 • 14:38 pm 20 points
  • IIT JAM
  • Mathematics (MA)

= yl-a*- evaluate i|(*+*)ds where sis the surface bounded above hemisphere , and below by plane -=0 2 47 b. 5

= yl-a*- Evaluate I|(*+*)dS where Sis the surface bounded above hemisphere , and below by plane -=0 2 47 b. 5

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  • Priyadarshan Choursiya best-answer

    see attachment

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    answer nhi aa rhaa

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    4π/3 is the answer. if you got this then your answer is correct and there is some printing mistake in your sheet

  • comment-profile-img>
    Ruby negi

    surface covered by z=0 plane and hemisphere is the curved surface for which ds=r^2sin(theta)d(theta)d(phir) r(cap)..... for any doubt you can ask..

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    doubt

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    Ruby negi best-answer

    here is the solution.

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    o to pi 2 integrate kyu kiya

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    you know theta is the angle with z- axis and phi is the angle with x-axis so when you rotate theta from 0 to π/2 and rotate phi from 0 to 2π you will get hemisphere but if theta is from 0 to π and phi remains same then you will get sphere...

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    go through the spherical coordinate, you will get to know the limits of theta and phi

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