You executed the following command in Recovery Manager （RMAN） to perform a backup of the DETTBS tablespace： RMAN> BACKUP TABLESPACE DETTBS；  Under which conditions would this command execute successfully？ （）

A.The database is in NOMOUNT state.

B.The database is in NOARCHIVELOG mode and the tablespace is online.

C.The database is in NOARCHIVELOG mode and the tablespace is offline.

D.The database is in ARCHIVELOG mode and the tablespace is offline.

E.The database is in ARCHIVELOG mode and the tablespace is online.