Basic Trig Problem

Alright, I have my textbook in front of me now. It has what I drew, and it wants me to find the following:

a) Determine the rpm of the saw
b) Let L be the total length of the belt. Write L as a function of x, where x is measured in radians. What is the domain of the function? (Hint: Add the lengths of the straight sections of the belt and the length of the belt around each pulley)
c) Use the function from b to finish the table (Don't need help for this so long as there's an equation to use)
d) As x increases, do the lengths of the straight sections of the belt change faster or slower than the lengths of the belts around each pulley?

So apparently the value of x is unnecessary, but still needed as a group of values. Still unsure of what to do there.

Miraculously, I managed to get all that is necessary for the problem.

b/ L as a function of x can be seen up there. Domain:


d/

Then you just need to compare those derivatives.

Oh wait, this is grade 12 math, are you allowed to use derivatives at all? I'm kind of lost on how to compare rates of change without using derivatives. Maybe you could set the angle to 2x and find respective L's, then compare the deltaL's for a given deltaX = x.

Most of the Trigonometry in this problem is in section b.