I need help with these, please

Solve the following problems. Please write your answers in readable and clean form. I. Conser a set of simbols ={a, b). (1) Find all strings in * shorter than 2. (2) Let L = { , ab). Is L a language on ? Why? (3) Write L and L'. 2. Let = {0.1} . What languages do the following grammar generated? write the languages SAB (1) Find a grammar that generates language L = { a"b": m, n 2.0 } (2) Find a grammar that generates language L { bm2a": n 0 } (3) Find a grammar that generates language L = { b"a": m > n }. 4 (1) Draw a transition graph for the dfa M-Q.8,q,, F ), where Qs( q ,g,th }, = {a, b), F = {Io, q) and is definded as (2) Give the language accepted by the above dfa