$2.$ For the following DFA $($please check image for DFA$)$:

Identify which of the following input strings does the machine accepts?

a$.1001011$

b$.1011$

c$.00011$

d$.11111$

$3.$ Build a DFA that accepts strings that contain $010$ as a substring. Examples of such strings are $010,0101100101,110010000,$ etc.