Ankur posted an Question
December 25, 2019 • 20:31 pm 15 points
  • IIT JAM
  • Mathematics (MA)

Example: Evaluate zdx dy dz ken over the regíon common to the surfaces x+y+ z = a, and x + y2 = ax A Solution. The region is bounded, above and below by the sur

Example: Evaluate zdx dy dz ken over the regíon common to the surfaces x+y+ z = a, and x + y2 = ax A Solution. The region is bounded, above and below by the surfaces Z= ya-x - y and z=-ya - x - y zdx dy dz = | dx dy|_-7 a-x-yyh dx dy s projection on the xy-plane is the circular domain D = +y < ax rva-x-y) dz Changing ST, 0srsa cos ) O polars, the region D becomes the circle, r a cos hoa e chwemit o e not egoal uhy yng e o ra cos 0 (a-r23r dr 15 (1-sin' 0)de = 2a(15T-16) 225 nlact Us Mnit 1800-120-1021 474

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    Eduncle best-answer

    Dear Saurabh,

    Greetings!

    As per the attached images, you have an issue in choosing limit.

    Refer the attached image for the solution.

    Hope that this solution will help you.

     

    Thanks for asking your query to us!

    Solution.JPG
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    but sir in some cases we take limit of 'r' as 0

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