The phrase "a primary task of" is correct and usable in written English.
It can be used when discussing the main responsibilities or objectives associated with a particular role, project, or process.
Example: "A primary task of the project manager is to ensure that the team meets its deadlines and stays within budget."
Alternatives: "a key responsibility of" or "a main objective of".
A primary task of biophysics is to understand the physical character of these cooperative interactions that are essential to life.
A primary task of the analysis of a 2k factorial design is to estimate the 2k unknown effects/interactions.
A primary task of feminist philosophy of law is conceptual revision to identify such bias wherever it occurs within the legal system (Bartlett 1990; MacKinnon 1989).
A primary task of preventing tanks from overfilling as well as a secondary task of manual logging with situation awareness questions were designed for the study.
The author mentions the proposal that emotional organization is a primary task of children and mentions the typical stages of such emotional organization, mentioning the recommendation of Greenspan (as cited in Bergen, 2016).
Indeed, a primary task of the State Department is to promote American economic success in the global economy.
Habit learning can be pathological, but as a normal process has been described as adaptive [90], allowing for the cognitive elevation of a primary task via subordination of a more common, well-learned behavior.
Therefore, the characterization of self-adjoint (J-self-adjoint) extensions of a differential expression is a primary task in the study of its spectral problems; and the classical von Neumann self-adjoint extension theory and the Glazman-Krein-Naimark (GKN) theory for symmetric operators were established [9, 10].
Predicting heat transfer is a primary task in the design of open-cell foams.
The visual serving task is defined as a primary task, while regulating attitude of the base satellite to zero is defined as a secondary task.
In this experiment, we combined a secondary numerosity judgement task with a primary task with two levels of attentional load (low and high load).
