Q$1)$ Create a state machine diagram that shows the behavior of a four$-$function calculator. You need to show the start state, the end state, and the labeled transitions. Q$2)$ In order for a student to register for courses at UHV, a student need to login in to the system, search for classes, select certain classes and submit his$/$her request. Create a sequence diagram for that. Q$3)$ Create a UML class diagram for the following description, your UML should show associations with cardinality; generalizations if any. Each class should at least have two attributes. $($hint: the easiest way to identify classes is to look for nouns$)$ E$-$gaming Store: An e gaming store is a store that does not have a physical presence for its products. The products are in three categories, Games, Consoles, and Accessories. A customer adds products to a basket. Once a customer checks out the basket it becomes an order.