The concept of naturalisation of humans refers to the process through which human beings adapt and become integrated into their physical and social environments. This process involves changes in the natural environment, cultural practices, and social institutions that shape the way humans live.
Naturalisation occurs when humans adjust their behavior and modify the environment to make it more suitable for their needs, while also adapting to the constraints and opportunities offered by the environment.
Some key elements of naturalisation include:
Naturalisation is both a biological and cultural process, where humans influence their environment while being influenced by it.
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 \(P,O,Q\).