Possible Clues:

• "With the bow," musically
• California-based gas company
• BP Amoco merger partner of 2000
• BP bought it in 2000
• Musical direction for instruments of the violin family
• Musical instruction indicating the end of a pizzicato passage
• Name on West Coast stations
• Gas station often attached to an ampm store
• Chevron rival, on the West Coast
• West Coast gas brand with ampm convenience stores