Answer
a) Yes
b) Yes
c) No
d) No
e) No
f) No
Work Step by Step
a) Yes ,${0}^*$ is recognized by deterministic finite state automation in figure given
b) Yes ,$({0})({0})^*$ is recognized by deterministic finite state automation in figure given
c) No ,,$({1})({0})^*$ is not recognized by deterministic finite state automation in figure given
d) No ,{${01}^*$} is not recognized by deterministic finite state automation in figure given
e) No ,,{${0}^*$}{1}$^*$ is not recognized by deterministic finite state automation in figure given
f) No ,,{1}{0,1}$^*$ is not recognized by deterministic finite state automation in figure given