First, try 99^3 = 970299; therefore, it is not the least possible value.
The above number is a multiple of 99, so we can factor this out to find the least possible value. So we try to factor 99:
99 = 9 * 11
99 = 3^2 * 11^ 1
and 3^3 * 11^3 = 35937
The least possible value is 4^1 + 11^2 = 125. Its sum is 125 which is a perfect cube.
Answer:
N = -1/2
Step-by-step explanation:
We are adding in this, so we need to do the opposite to both sides, to get N by itself.
N + 3/4 - 3/4 = 1/4 - 3/4
N = -2/4 or, simplified, -1/2
Because I've gone ahead with trying to parameterize 
directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.
Rather than compute the surface integral over straight away, let's close off the hemisphere with the disk 
of radius 9 centered at the origin and coincident with the plane 
. Then by the divergence theorem, since the region 
is closed, we have
where 
is the interior of . 
has divergence
so the flux over the closed region is
The total flux over the closed surface is equal to the flux over its component surfaces, so we have
Parameterize by
with 
and 
. Take the normal vector to to be
Then the flux of across is
