![1. Given the following FAs for the languages (a and b: -xt +x2 r1 .b :3 y3 a,b a,b construct the FA that is produced for the language (a) + b). Show the transition table and draw the transition diagram [Hint: This is NOT the simplest FA for the language fa, b)]. (8 points) 2. convert your FA from problem 1 (an FA is alsoa TG) into a regular expression (show the steps that you take). (4 points)](https://media.cheggcdn.com/media%2Fc27%2Fc273a08b-57d5-4303-a308-0a2e6958c0eb%2FphpKUjRQA.png)
Please answer the question as comprehensibly as you can withwork if needed.
1. Given the following FAs for the languages
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![1. Given the following FAs for the languages (a and b: -xt +x2 r1 .b :3 y3 a,b a,b construct the FA that is produced for the language (a) + b). Show the transition table and draw the transition diagram [Hint: This is NOT the simplest FA for the language fa, b)]. (8 points) 2. convert your FA from problem 1 (an FA is alsoa TG) into a regular expression (show the steps that you take). (4 points)](https://media.cheggcdn.com/media%2Fc27%2Fc273a08b-57d5-4303-a308-0a2e6958c0eb%2FphpKUjRQA.png)
Please answer the question as comprehensibly as you can withwork if needed.
1. Given the following FAs for the languages
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