Divergentce sentence of gaus prove for spesific pyramid

1. Sep 13, 2004

ori

how do i prove the sentece for pyramid blocked between
x=0
y=0
z=0
x+y+z=1
and the field is F=(0,0,R(x,y,z))
R is at C1 (i mean it is continutius and its first devrtive is continutius)

all the condition of the sentence are ok:
the plane is smood at it's parts
the plane is closed
all F components are at C1 at all the area of the pyramid
therefore
we need to prove
SSF*nds (on S) =SSSdivFdxdydz (on V)
while S is the border of V
n is the normal of S

how can we prove that in this case?

Last edited: Sep 13, 2004