Find two numbers that add up to 158. The greater number is 40 more than the lesser number
1 answer:
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Split up the surface 
into three main components 
, where
is the region in the plane 
bounded by 
;
is the piece of the cylinder bounded between the two planes and 
;
and
is the part of the plane bounded by the cylinder .
These surfaces can be parameterized respectively by
where
and 
,
where
and ,
where and .
The surface integral of a function
along a surface 
parameterized by 
is given to be
Assuming we're just finding the area of the total surface, we take 
, and split up the total surface integral into integrals along each component surface. We have
Therefore
and
These surfaces can be parameterized respectively by
where
where
where
The surface integral of a function
Assuming we're just finding the area of the total surface
Therefore