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edr1c

  • 3 years ago

Evaluate \[\int\limits_{}^{}\int\limits_{}^{}\int\limits_{E}^{}2xdV\] where E is the region under the plane 2x+3y+z=6 that lies in the first octant.

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  1. edr1c
    • 3 years ago
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    i know when z=0, i got the x-y plane graph |dw:1342605711765:dw| but how to know the limit of integration for dz?

  2. eliassaab
    • 3 years ago
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    \[ \int _0^3\int _0^{\frac{1}{3} (6-3 x)}\int _0^{-2 x-3 y+6}2 xdzdydx=\frac{9}{4} \]

  3. edr1c
    • 3 years ago
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    owh so we just let the whole equation be in terms of z to integrate z?

  4. eliassaab
    • 3 years ago
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    yes

  5. edr1c
    • 3 years ago
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    okay thx alot =) will try it out

  6. eliassaab
    • 3 years ago
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    yw

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