1. Design a Turing machine that recognizes the language L={anbncn| n>=1}. 2. Design a Turing machine that checks if a string is a palindrome given the alphabet ∑= {a,b}. 3. Design a PDA to recognize L={ambmcdn| n>=1}. Also write the grammar for the language. 4. Design a DFA that checks if a given binary input string is divisible by 4. Notes include designing all machines in JFLAP and including snapshots of the final design, an input string being processed, and the machine at a final accepting or rejecting state. Save images in a word file with section and roll number and submit to the classroom