Final answer:
The role responsible for managing and maintaining database hardware and software is Database administration, which also includes tasks such as system security and monitoring user access.
Step-by-step explanation:
The role that involves managing the actual running and maintenance of the database's hardware and software is known as Database administration. Database administrators are responsible for ensuring that the databases are available to users, are performing properly, and are being kept safe from unauthorized access.
Tasks typically include installing and upgrading the database server and application tools, allocating system storage, and planning for future storage requirements. They also control and monitor user access to the database, as well as maintain system security.