0
$\begingroup$

Find the mass of the solid bounded by the $xy$-plane, $yz$-plane, $xz$-plane, and the plane $x/2+y/3+z/6=1$ if the density of the solid is given by $\delta(x,y,z)=x+4y$.

Cannot set the limits and the integral function!

$\endgroup$
1
$\begingroup$

The mass is the triple integral of the density function:

Int(x = 0 to 2)Int(y = 0 to 3 - 1.5x)Int(z = 0 to 6 - 3x - 2y)(x + 4y) dzdydx. You can

now integrate it with z first, then y, and then x.

$\endgroup$
  • $\begingroup$ thanks I really appreciate that! $\endgroup$ – user131040 Mar 13 '14 at 3:04
  • $\begingroup$ you are welcome. $\endgroup$ – DeepSea Mar 13 '14 at 3:04

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.