2. b) Find the first derivative and set it equal to 0 to find critical points. Any of the critical points that satisfy are relative maxima.
c) For the graph to be increasing, its derivative is positive. So solve
3. Notice that the enclosed region occurs where .
So evaluate the points of intersection (which we'll call a and b, where b>a) then evaluate
As for b) I need to refresh my memory. I'll get back to you.