Problem 1: Give a Context-Free Grammar for the following language: A-fu, E {a, b. c}*|w = wR, namely w ls read the same forwards and backwards} Problem 2: Give a Context-Free Grammar for the following language Problem 3: Give a Context-Free Grammar for the following language: Problem 4: Give a Context-Free Grammar for the following language: Problem 5: Give a Context-Free Grammar for the following language E {w E {a,b}*| the number of a's in w is twice the number of bs in w}