Which two situations would be helped by using a programming library?

While this task could benefit from a library, it is relatively simple and often serves as an educational exercise for students. Writing such code manually helps students understand basic programming concepts and algorithms, making it less likely that they would seek a library for this straightforward operation.

Although using a library could assist with object-oriented programming tasks, the complexity and specificity of the gradebook application may require custom code tailored to the application’s unique requirements. This situation may not fully leverage the benefits of a library, as it often necessitates a deeper understanding of the specific logic involved.

This situation focuses on dynamic data handling and variable declaration, which may not directly align with the use of a library. While some libraries provide data handling utilities, the requirement for flexibility in data types suggests a need for more foundational programming concepts rather than reliance on pre-built solutions.

Recursive functions can be implemented without a library, and while libraries may provide some mathematical utilities, the specific nature of recursion often requires a custom approach. This task may not benefit substantially from a library compared to more standardized tasks like animations or file compression.