For each of the following languages L, state whether L is regular or not and prove your answer: g. {w = xy: x, ye {a, b}* and [x] = lyl and #a(x) 2 #a(y)}. h. {w = xyzyk x : x, y, z e {a, b}*}. i. {w = xyzy: x, y, ze{0,1}*}. j. {we {0,1}* : #(w) # #7(W)}. k. {we {a, b}*: w = wf}. 1. {we {a,b}* : 3x {a, b}(w = x xRx)}