Final answer:
The correct command to generate a database backup for the 'mydatabase' database is 'pg_dump mydatabase > backup.sql', where 'backup.sql' is the filename chosen for the backup file.
Step-by-step explanation:
To correctly generate a database backup file and recreate the database in the same state that it was at the time of the dump from the mydatabase database to a file, the correct command is:
c.) pg_dump mydatabase > followed by the filename where you want to save the dump. For instance, if you want to save the backup to a file named backup.sql, you would use the command:
pg_dump mydatabase > backup.sql
This command instructs pg_dump to take a ‘dump’ or backup of the 'mydatabase' database, and the greater than symbol (>) redirects the output to a file instead of displaying it on the screen.