General :: How To Connect To A Remote Server And Run Some Code On That Particular Server

I am implementing an automated backup scheme so I created a shell script which first creates SQL dumps for all MySQL databases, then retrieves all websites from the /var/www directory of a remote server. The latter is working as I am using rsync to get the remote files.However, the MySQL dumps being retrieved are the ones from the local server which is not what I want. I want to get the SQL dumps from the remote server as well.I have a tunnel between the local and remote server which I can connect to without using any password (I added the public key to the authorized_hosts), so I tried to add the following code to the script:

ssh user@192.168.x.xxx

I then attempted to retrieve the SQL dumps and exited from the remote server. However this does not work as I still have to enter exit manually in the terminal for the SQL dumps to be retrieved from the remote host. I don't know why this is happening. This is what the script is trying to do:

//connect to remote server
ssh user@192.168.x.xxx
//retrieve SQL dumps

[code]...

Is there a way to connect to the remote host AND run the script's code on THAT remote host?