$($Let me know if the diagram is too small and you want a bigger version of it$.)$

$3.$ Suppose a database has the following three relations.

Artltem $($aid: integer, title: string, weightPnd: integer, type: string, pricePaid: integer, creator: integer$)$

ExhibitsIn $($artID: integer, exhibitID: integer, insuranceCost: integer, deliveryDate: date, homeMuseum: integer$)$

Exhibition $($eID: integer, title: string, curatorName: string, specialFee: integer$)$

Artist $($personID: integer, lastname: string, firstname: string, birthyear: integer, birthregion: string, bio: string$)$

Regions $($regionname: string, latitude: string, longitude: string, sizeSqMi: integer, climate: string$)$

$($The "bit" data type stores $0$ or $1.$ False or true. Booleans.$)$

"exhibitID" in ExhibitsIn is a foreign key referencing "eid" in Exhibition.

"artID" in ExhibitsIn is a foreign key referencing "aid" in ArtItem. The art item weights are measured in pounds.

"creator" in ArtItem is a foreign key referencing "personID" in Artist. city, like New York City.

You may assume simple boolean comparisons work on dates. before moving on to a museum in a different city $($or country$).$

Write the following queries in relational algebra.

Find the last names and first names of artists born before $1600.$

Find the climate, region names, last names and first names for artists born in regions that are "tropical" in climate.

Find the titles of art items, and the last and first names of the artists who created them, for art items that weigh more than $100$ pounds.

Find the titles of art items, the last and first names of artists, and the artists' birth regions, for artists who come from a region less than $500$ square miles in size. very small or very large.$)$ last time it was sold, was either very small or very large.$)$