A company built an application with Docker containers and needs to run it in the AWS Cloud using a managed service. The solution must scale container services in and out according to demand and must not require additional infrastructure or operational overhead. Which solutions meet these requirements? (Choose two.)

Both Amazon ECS with AWS Fargate and Amazon EKS with AWS Fargate are correct because Fargate is a serverless compute engine that eliminates the need to provision, configure, or scale EC2 instances for container orchestration. This directly addresses the requirement for no additional infrastructure or operational overhead, while ECS and EKS provide the managed container services and scaling capabilities. Provisioning an API Gateway and Lambda is incorrect because Lambda runs functions, not Docker containers directly in this manner, and it's not designed for long-running containerized applications. Using ECS or EKS with EC2 worker nodes is incorrect because while these options provide managed container services and scaling, they require managing the underlying EC2 infrastructure, which violates the requirement for no additional infrastructure or operational overhead.