Observe the population growth curve and answer the questions given below:

(a) State the conditions under which growth curve ‘A’ and growth curve ‘B’ plotted in the graph are possible.
- Growth curve ‘A’ (Exponential growth): This type of growth occurs under ideal conditions, where there are no limitations on resources such as food, space, or other environmental factors.
- Growth curve ‘B’ (Logistic growth): Logistic growth takes place under natural conditions where resources are limited. Environmental resistance, such as competition and predation, slows down the growth and stabilizes the population at the carrying capacity.
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 \(P,O,Q\).