5. (18%) Identify and EXPLAIN all elements F of the set { O, , , , o } such that the f(n)-F( g (n)) for each of the following asymptotic relations. Thus that if f(n)-0( g(n)) and f(n)= ( g (n) ) and f(n)- ( g (n) are the only three valid asymptotic relationships between f and g , answer O, , (5.1) f(n)-n2 + 5, g(n)-3 +4n (5.2) f(n)- 2log, n, g(n)- log, (2n) (5.3) f (n)- 2" +3n, g(n)-3"+2n+1 (5.4) f(n)- Vn, g(n)- 4logn (5.5) 'f(n)-n2 + 1, g(n)-3n-2 (5.6) f (n) - 2n+1, g(n)- 3log n+2