(a) Concept: Coordination (The essence of management)
Explanation:
1. Integration Aspect: - Harmonizing regional teams (North/South/East/West) - Aligning diverse functions (production, sales, logistics)
2. Key Characteristics: - "Orderly pattern of group efforts" - "Unity of action in pursuit of common purpose" - Continuous process (not a one-time activity)
3. Implementation Methods: - Regular cross-regional meetings - Standardized operating procedures - Balanced performance metrics
(b) Importance Point: Achieves Organizational Goals
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 \(P,O,Q\).