Parallel lines mean that the slopes are the same, while perpendicular means that the slopes are negative reciprocals from each other.
With this information,
1. The slopes are the same, so PARALLEL.
2. The slopes are negative reciprocals, so PERPENDICULAR.
3. Same as the second.
Answer:
I don't really know this one
I bet the ODE is supposed to read

Then if
, we have
and
, and substituting these into the ODE gives

Solving for <em>r</em>, we find

so that
and
are two fundamental solutions to the ODE. Thus the general solution is

Given that
and
, we get

So the particular solution is

8 oz. is half a pound. so she will need less than a pound of chocolate.