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INT

Use Gauss’s theorem to find the volume of the solid region bounded by the paraboloids z=9−x^2−y^2 and z=3x^2+3y^2−16.

  • one year ago
  • one year ago

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  1. abb0t
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    Gauss is theorem is also Divegence theorem, I believe. Which says: Let E be a simple solid region and S is te boundry surface of E with the positive orientation. Let f be a fector field whose components have cintinuous first order partial deriv. Then: \[\int\limits \int\limits_{S }^{ } F • dS = \int\limits \int\limits_{E }^{ } \int\limits dive F dV\]

    • one year ago
  2. abb0t
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    where F is a vector.

    • one year ago
  3. abb0t
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    So, I think you want to start by getting the divergence of the vector field firest.

    • one year ago
  4. INT
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    How do I find the vector field, if all im given is equations for parabaloids?

    • one year ago
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