Roles of predation:
Maintains species diversity: Predators control the population of prey, preventing any single species from dominating. Example: Lions preying on zebras in savannahs.
Regulates ecosystem balance: Predators ensure a balance between herbivores and plants. Example: Wolves controlling deer populations.
Promotes natural selection: Predation exerts pressure on prey to evolve defensive mechanisms. Example: Camouflage in stick insects.
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 \(P,O,Q\).