First, just set up the problem and what we are looking for. We have and we are trying to find; Starting with , we start with Going throw the terms inside the brackets one-by-one, l we don't know -- if we were given a functional form for we could probably find it, but for now we'll just leave it as is pretty simple, given , it's just . isn't known. Given a functional form of we could probably solve for it -- but now we'll just leave it at is. We are told to assume that k is independent of L & h. Which implies that .Great, so we can rewrite the above as; which further simplifies to the follow, Now let's find Now let's break open Now we're going to go through each one of those four terms inside the bracket; isn't known to us now. If we were given a functional form for P, we could probably find it easily. But for now we leave as is. - since we are told that , this implies that isn't known to us now. Again, if we were given a function form for P, finding this term wouldn't be too hard. But for now we leave it as is. , since we were told in the question that k is independent of h (and L).This means that the above terms simplifies into the following; |