Primary keys are underlined in each relation. A book is uniquely identified by book id $($bid$).$ Additionally, every book

has an id $($bid$),$ a name $($bname$),$ an author, a publication year $($pubyear$),$ and a publishing company

$($publisher$).$ A student is uniquely identified by student id $($sid$).$ In addition to id$,$ each student has a name

$($sname$),$ an age, and a state. If a student read a book, a record would be present in the Reads relation, with the

student's id$,$ the book's id$,$ and the year the book was read.

Write the relational algebra expressions for the following queries:

A$.$ Find the students who live in $\text{'}$MA$\text{'}$ and they are either younger than $25$ or older than $35.$

B$.$ Find the oldest books $($hint: pubyear is min $).$

C$.$ Find the names and authors of the newest books.

D$.$ Find the names of the students who read some book in the same year when that book was published.

E$.$ Find the names of the students who read all books.

F$.$ Find the names and ages of the students who read all books published by 'penguin' publishing company in any

year. Please answer the question with proper explanation. Thank You!