Meaning of 'Directing' Function of Management:
Directing is the management function concerned with instructing, guiding, inspiring, motivating, and supervising people within the organization to achieve organizational goals effectively and efficiently. It involves leading employees, communicating effectively with them, resolving conflicts, and creating a positive work environment to maximize their potential and contribution. In essence, directing is about bringing the plans to life by effectively managing human resources.
Two Features of Directing:
Pervasive Function: Directing is a pervasive function, meaning it is required at all levels of management in an organization. Every manager, from top-level executives to supervisors, needs to direct their subordinates by guiding, instructing, and motivating them to perform their duties effectively. The scope and level of directing may vary at different levels, but the need for it exists throughout the entire organization.
Continuous Process: Directing is a continuous process that is ongoing throughout the life of the organization. Managers are constantly involved in guiding, monitoring, and motivating employees to ensure they are aligned with the organizational goals and are performing their tasks efficiently. It's not a one-time event but a dynamic and evolving process that adapts to changing circumstances and employee needs.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).