Determine whether all the strings in each of these sets are recognized by the deterministic finite-state automaton

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Determine whether all the strings in each of these sets are recognized by the deterministic finite-state automaton in Figure 1.
a) {0}*
b) {0} {0}*
c) {1} {0}*
d) {01}*
e) {0}*{1}*
f) {1} {0, 1}*
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