Hey I got a project assigned for my Calc 3 class, and I was wondering what to do with the following: A hanging cable has the shape y = 1/c cosh(cx + b) + a for some constants a,b,c with c>0. Suppose the ends are at P(0,10) and P2(30,5). If the length of the cable is known to be 100 units then determine a,b,c and then plot the graph. I know that dy/dx = sinh(cx + b), so the arc length formula would be: 100 = int(sqrt(1 + sinh(cx + b)^2)) from 0 to 30 but I'm having issues solving the equations in terms of a,b and c. I tried, and got an equation with lots of cosh's that myself and Maple could not solve or reduce. Any advice? Thanks alot!