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Level Surfaces for a Polynomial

​
a
p
x
+ b
q
y
+ c
r
z
=
2
k
p
1
2
3
4
5
q
1
2
3
4
5
r
1
2
3
4
5
a
9
b
3
c
6
k
6
Let
f
be a function of three variables and let
c
be a constant. The set of all points
(x,y,z)
in space such that
f(x,y,z)=c
is called a level surface of
f
(with value
c
).
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