is conservative if we can find a scalar function
such that
. This is equivalent to solving the system of PDEs,


Integrate both sides of the first PDF with respect to
:

where
is some function independent of
. Then differentiatng with respect to
, we have


and so
is indeed conservative, with

Answer:
b
Step-by-step explanation:
Check picture for working out
First, let's expand the right side. Now our equation is

Now, we gather all the terms with x in it on the left side, and the numbers without x on the right. We get:

And then we can make this

We divide both sides by 12 to get x on its own, so x = 13/12 or 1.08