Let W be the solid bounded by the paraboloid and the plane x = 9. Let . I know the divF is 7 here.. but after that I will need to multiply this by the volume of the region bounded above to get the flux.. am I right?
Last edited by mr fantastic; Apr 28th 2009 at 10:04 PM.
Reason: Fixed latex closing tag
Let W be the solid bounded by the paraboloid and the plane x = 9. Let . I know that here.. but after that I will need to multiply this by the volume of the region bounded above to get the flux.. am I right?
Yes, you want to integrate .
I would use cylindrical coordinates (note that I'm using x where one would traditionally use z):
So your volume is bounded by and
Spoiler:
Inner integral:
Now you have
Middle integral:
Now you have
PS: The closing tag for LaTeX is "[/tex]", not "[\math]".