(a) Identify and explain the function of management discussed in the above para.
(b) Explain any four points of importance of the function identified in (a).
The function of management discussed in the paragraph above is Controlling.
Controlling is a crucial function in management that involves monitoring and evaluating the progress of activities to ensure that organizational goals are being achieved as planned. It ensures that actual performance aligns with the set standards, and corrective actions are taken when necessary. The process of controlling ensures that deviations from the planned course of action are identified early, and the necessary adjustments are made to achieve the desired outcomes.
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 \(P,O,Q\).