Given the following grammar s rightarrow s[s] s rightarrow Construct a leftmost and rightmost derivation for the string Find a grammar for each of the following languages. Provide brief explanations on how you came up with the solution. {b^n a | n = 0, 1, 2, ...} {a^n bc^n | n = 0, 1, 2, ...} {a^m bc^n | n = 0, 1, 2, ... and m = 0, 1, 2, ...} {a^m b^n | n = 1, 2, ... and m = 0, 1, 2, ...} Let L = { abb, b} and M = {bba, ab, a}. What is ML? For each of the following equation, solve for the language L. Provide brief explanations on how you came up with the solutions. L{a, b} = {a, baa, b, bab} L{ a} = { a, b, ab, ba, aba} L{b, ab} = {abb, ab, abab, bab, b, bb}