Please correctly answer the attched questionsEXERCISE $6$ EXERCISE $7$

For each machine $M$ in the previous exercise, state what the language $L(M)$ is$,$ using set

formers. EXERCISE $8$

Evaluate each of these expressions for the following DFA:

a$.(q_2,0)$

b$.{}^{*}(q_0,010)$

c$.({}^{*}(q_1,010),1)$

d$.{}^{*}(q_2,)$

e$.{}^{*}(q_2,1101)$

f$.{}^{*}(q_2,110111)$ EXERCISE $9$

Draw the diagram for a DFA for each of the following languages.

a$.\{\begin{array}{ccc}\text{x}\text{i}\text{n}& \{a,& b{\}}^{*}|x\end{array}$ contains at least $3$ as

State each of the following DFAs formally, as a $5-$tuple.

a$.$

b$.$

c$.$