When ex-ante Aggregate Supply (AS) is less than ex-ante Aggregate Demand (AD), it creates an inflationary gap in the economy, resulting in:
- Increase in Output: Firms increase production to meet the higher demand for goods and services.
- Increase in Income: Higher production leads to increased payments to factors of production, resulting in higher income levels.
- Increase in Employment: Firms hire more workers to increase production, thereby creating additional employment opportunities.
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 \(P,O,Q\).