Tertiary activities, also known as the service sector, focus on providing services rather than producing goods. These activities require specialized skills, experience, and knowledge of workers because they often involve complex tasks and decision-making.
- Specialized skills are needed in fields such as healthcare, education, finance, and legal services, where expertise and qualifications are crucial for performing the tasks effectively.
- Experience plays an important role in many service-based industries. For instance, experienced professionals like doctors, teachers, or consultants provide a higher quality of service due to their practical understanding and ability to handle complex situations.
- Knowledge is a key component in sectors like information technology, research, and customer service, where workers need to stay updated with the latest trends, innovations, and regulations to perform their jobs effectively.
Thus, tertiary activities are largely dependent on the intellectual, technical, and professional abilities of workers who provide intangible services to society.
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 \(P,O,Q\).