The background music has no known name. It was commissioned for the tamiflu ad and produced by facethemusic.com
In order to know the background music for a specific video we need to know the name of the video.
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Latika's theme / dreams on fire from Slumdog Millionaire
The music was written by Brad Breeck at Mophonics and was played by Alan Steinberger. (See links below)
can i put my name on computer wallpaper and play music
Bach
I'm not certain if you're thinking of British Airways which featured "Sous le dome epais," otherwise known as "The Flower Duet" from the opera Lakme by Delibes.
Gospel
No.
The name of the song is 'Bette Davis Eyes'
"Life's a gamble." is the name of the song.