I gather you're supposed to compute the integral of over a surface
that is the part of the parabolic cylinder
with
and
.
We can parameterize by
with the given constraints on and
. Take the normal vector to
to be
so that the surface element is
Then in the integral, we have
Answer:
Step-by-step explanation:
We are given
Let's assume it can be factored as
now, we can multiply right side
and then we can compare it
now, we can compare coefficients
now, we can find all possible factors of 48
and then we can assume possible prime factors of 48
Since, we have to find the largest value of n
So, we will get consider larger value of r because of 5r
and because n is negative of 5r+s
so, we will both n and r as negative
So, we can assume
r=-48 and s=-1
so, we get