Sort all the functions below in increasing order of asymptotic (big-O) growth 5n, 4logn ,4log(logn) ,n^4 ,5^n ,4^(n^4 ) and n^(n/4)

Let r be a robotic arm with a fixed base and seven links. the last joint of r is a prismatic joint, the other ones are revolute joints. give a set of parameters that determines a placement of r. what is the dimension of the configuration space resulting from your choice of parameters?