ARM I: Patients receive paclitaxel intravenously (IV) over 3 hours and carboplatin IV over 30 minutes with or without bevacizumab IV over 30-90 minutes on day 1. Treatment repeats every 21 days for up to 6 courses in the absence of disease progression or unacceptable toxicity. After completion of 6 courses, patients receiving bevacizumab may continue to receive bevacizumab (as above) in the absence of disease progression or unacceptable toxicity.