In the AWS shared responsibility model, the customer is responsible for certain security aspects within the AWS Cloud. The correct answers are B and C. B refers to Amazon EC2 operating system patching, which means that customers are responsible for applying security updates and bug fixes to the operating systems of their Amazon EC2 instances. This is a critical part of maintaining the security of their instances. C refers to API access control for AWS resources, which means that customers are responsible for controlling who has access to their AWS resources. This includes creating and managing users and groups, and assigning permissions to resources. These are key aspects of securing their resources in the cloud. Options A, D, and E are not correct as they are the responsibilities of AWS or are not related to security.