I- E TM decidable? 15 pts II- EQ TM decidable? 15 pts III- E(NFA) decidable? 15 pts IV-Write Turing machine: 30 pts a) (001)+(011)+1* b) (00)+(10)+0* V-Prove that PATH is in P by analyzing its running time(write algorithm) 15 pts VI-Profe that if HAMPATH is not in P, then TSP is not in P Note: TSP = the shortest path that a salesman does, no city can be passed twice 10 pts Good LUCK