1. If doable, find a regular expression for the following languages over alphabet {a, b}. i. Strings with an odd number of a ii. Both the number of a's and the number of b's are even iii. No string contains the substring aa iv. {a2n|ne N} U {b2n+1 | n € N} while N= {0,1,2,3,...}

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Q: Tell us about the many different settings in which you've found Automata Theory to be helpful.

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