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1. (2 pts) Name two operations on languages, in addition to concatenation, union, and closure, that preserve regularity.
   
   
   
   
   
   
2. (2 pts) In a context-free grammar, what is the format of a rule? I.e., what type of object is on the left-hand side of a rule and what type of object is on the right-hand side?
   
   
   
   
   
   
3. (1 pt) True or False: Every regular language is also a context-free language.