Tertiary activities refer to services that support the production and distribution of goods. They are also known as service industries and are an essential part of a modern economy. These activities can be broadly divided into two categories: production and exchange.
Production: Tertiary activities also include the production of services such as healthcare, education, transportation, and information technology. These services are essential for the functioning of the economy and provide the necessary infrastructure for manufacturing and other industries to thrive. For example, communication services like telecommunications and internet connectivity are crucial for the effective functioning of businesses and industries.
Exchange: Exchange refers to the movement of goods and services from producers to consumers. It includes activities like trade, retail, banking, insurance, and transportation. These activities facilitate the distribution and exchange of goods and services in the economy. For example, retail stores or e-commerce platforms provide the exchange of goods between the producer and the consumer, while financial services such as banking allow for the exchange of money.
Thus, tertiary activities encompass both the provision of services that support production (e.g., education, healthcare) and the facilitation of exchange (e.g., trade, retail, transportation).
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 \(P,O,Q\).