The following is the relation notation of a table for a veterinary office.

VET$\_$OFFICE $($PetID$,$ PetName, PetType, OwnerID, OwnerLastName, OwnerFirstName, ServiceTypeID, ServiceDescription, ServiceDate, ServiceCharge$)$ The functional dependencies are given below: PetID $->$ PetName, PetType, OwnerID, OwnerLastName, OwnerFirstName OwnerID $->$ OwnerLastName, OwnerFirstName ServiceTypeID $->$ ServiceDescription PetID, ServiceDate, ServiceTypeID $->$ ServiceCharge

Assumptions: $1.$ A pet belongs to only one owner, while an owner may have more than one pet. $2.$ A pet can receive multiple treatments on a given date, as long as the services are of different types. Use the functional dependencies above to answer the following three questions. Use relational notation for all relations in your answers. Do not make additional assumptions and functional dependencies. Note: Not following relational notation is false. Including dependencies and references. Answer without detailed steps or intermediate steps are wrong.

$1.$ Show the $1$NF in relational notation $($Do not forget to indicate the primary key$).$

$2.$ Identify and list all partial dependencies in the relation only $($if any$).$ Identify and show the $2$NF using relational notation, including all relations and their references.

$3.$ Identify and show all transitive dependencies $($if any$)$ in your answer to question $2$ Identify and show $3$NF $($show all relations$)$ using relational notation, including all relations and their references.

Hint: functional dependencies and normal forms $($NFs$)$ are different, so are their notation$/$representation$.$ Don$$t mix them.