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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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edr1cBest ResponseYou've already chosen the best response.0
i know when z=0, i got the xy plane graph dw:1342605711765:dw but how to know the limit of integration for dz?
 one year ago

eliassaabBest ResponseYou've already chosen the best response.1
\[ \int _0^3\int _0^{\frac{1}{3} (63 x)}\int _0^{2 x3 y+6}2 xdzdydx=\frac{9}{4} \]
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
owh so we just let the whole equation be in terms of z to integrate z?
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
okay thx alot =) will try it out
 one year ago
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