Query to Find time remaining to complete database backup or restore in SQL 2005

USE master
GO

SELECT
          Percent_Complete,
          Start_Time ,
          Command,
          b.Name AS DatabaseName, --Sometimes this will be "Main" as the database will not be accesiable.
          DATEADD(ms,estimated_completion_time,GETDATE()) AS RemainTime,
          (estimated_completion_time/1000/60) AS MinutesToFinish
FROM sys.dm_exec_requests a
          INNER JOIN sys.databases b
          ON a.database_id = b.database_id
WHERE
          Command like '%Restore%'
          OR Command like '%Backup%'
          AND Estimated_Completion_Time > 0

When was my table last scaned or updated?

USE DatabaseName
GO

SELECT
         t.name,
         i.last_user_lookup,
         i.last_user_scan,
         i.last_user_seek,
         i.last_user_update
FROM sys.dm_db_index_usage_stats i
         INNER JOIN sys.tables t
         ON i.object_id = t.object_id
WHERE
         database_id = db_id( 'DatabaseName' )

Find Domain Name Using T-SQL

DECLARE @Domain varchar(100), @key varchar(100)

SET @key = 'SYSTEM\ControlSet001\Services\Tcpip\Parameters\'
EXEC master..xp_regread @rootkey='HKEY_LOCAL_MACHINE', @key=@key,@value_name='Domain',@value=@Domain OUTPUT
SELECT 'Server Name: '+@@servername + ' Domain Name:'+convert(varchar(100),@Domain)

Alternative ways,
1. SELECT DEFAULT_DOMAIN()
2. EXEC Master.dbo.xp_LoginConfig 'Default Domain'

Which SQL Statements are Currently Executing on my Database?

SELECT [Spid] = session_Id
, ecid
, [Database] = DB_NAME(sp.dbid)
, [User] = nt_username
, [Status] = er.status
, [Wait] = wait_type
, [Individual Query] = SUBSTRING (qt.text, er.statement_start_offset/2,
(CASE WHEN er.statement_end_offset = -1
THEN LEN(CONVERT(NVARCHAR(MAX), qt.text)) * 2
ELSE er.statement_end_offset END - er.statement_start_offset)/2)
,[Parent Query] = qt.text
, Program = program_name
, Hostname
, nt_domain
, start_time
FROM sys.dm_exec_requests er
INNER JOIN sys.sysprocesses sp ON er.session_id = sp.spid
CROSS APPLY sys.dm_exec_sql_text(er.sql_handle) as qt
WHERE session_Id > 50 -- This is to ignore system SPID's.
AND session_Id NOT IN (@@SPID) -- This is to ignore this current Statement/Session.