Final answer:
Platform as a Service (PaaS) and Infrastructure as a Service (IaaS) support cloud-based application development and deployment. Network as a Service (Naas) provides essential network services for applications. A software developer works in the quaternary sector of an economy, which is knowledge-based.
Step-by-step explanation:
The services that can support cloud-based application development and deployment are Platform as a service (PaaS), Infrastructure as a service (IaaS), and to a lesser extent Network as a service (Naas). PaaS provides a platform allowing customers to develop, run, and manage applications without the complexity of building and maintaining the infrastructure typically associated with developing and launching an app. IaaS provides virtualized computing resources over the internet, which can also be utilized for development purposes. Naas offers network services over the internet, which can be imperative for cloud application functionalities but is not directly involved in application development or deployment.
Regarding the question about the economic sector for a software developer, the correct answer would be Quaternary sector. The quaternary sector is focused on knowledge-based activities involving services such as information technology, research and development, and financial planning. As software development is a knowledge-based activity, it falls under this category.