Is the MySQL database and the SQL query language part of the Microsoft Windows 7 operating system

If yes, is there something I need to do to activate them? If not, where would I get them?

Is the MySQL database and the SQL query language part of the Microsoft Windows 7 operating system

No, the MySQL database application is not included. You can download a copy from their website: http://www.mysql.com/

With regards to the SQL query language, there is nothing to install. You write your SQL queries (its text) and you use it in conjuction with the SQL server application.

MySQL is a specific implementation of a relational database that uses the SQL data access language. SQL is an ANSI/ISO standard, and is supported (to varying degrees) by database products such as MySQL, Ingres/Postgres, Oracle, DB2, Sybase/MS-SQLServer, et al. It is not a part of any operating system, per se. MySQL is now part of Oracle, and can be downloaded from here: http://dev.mysql.com/downloads/