Ask your own question, for FREE!
Mathematics 55 Online
OpenStudy (anonymous):

I need help finding the flux through an ellipsoid (the surface) where F= and x^2+y^2+4z^2=16. How do I go about doing that? I have to evaluate it using the divergence theorem and through a method that involves a sphere through the origin. please help!

OpenStudy (anonymous):

Use the divergence theorem http://en.wikipedia.org/wiki/Divergence_theorem

OpenStudy (anonymous):

Div(F)=2 x + 4 y + 6 z The flux through the skin of the ellipsoid is equal to the integral of the Div(F) over the meat inside that skin. \[ \int _{-4}^4\int _{-\sqrt{16-x^2}}^{\sqrt{16 -x^2}}\int _{-\frac{1}{2} \sqrt{-x^2-y^2+16}}^{\frac{ 1}{2} \sqrt{-x^2-y^2+16}}(2 x+4 y+6 z)dzdydx \] Since Div(F) is odd in x, in y and in z and the region is symmetric with respect to x, y and z, the above integral is equal to zero.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
SsTDOGRednek: How many x and y chromosomes do we have? I forget...
2 hours ago 5 Replies 2 Medals
SsTDOGRednek: What Element is I?
3 hours ago 3 Replies 1 Medal
SsTDOGRednek: What is the compound I?
3 hours ago 7 Replies 1 Medal
danielfootball123: HAPPY EASTER!!!!
1 hour ago 25 Replies 3 Medals
ShadowKid3: I drew Leon again (used suggestions from last art post) so Leon v2 :D
20 hours ago 4 Replies 0 Medals
Puck: for all you amazing people
3 hours ago 4 Replies 2 Medals
Breathless: update on drawing.
23 hours ago 12 Replies 5 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!