This statement has great relevance in the context of the Antarctic environment. A small change in the environment can give rise to drastic developments. Antarctica has a small biodiversity. The example of small grass called phytoplankton can be studied in this context. These microscopic grasses undergo the process of photosynthesis and serve as food for number of marine birds and animals. The author says if there is further depletion of the ozone layer, it will affect the phytoplankton’s and the carbon cycle on the globe. This whole process can jeopardize the existence of all the marine birds and animals. So if we take care that processes carried over by these small grasses are carried out properly, the bigger animals and birds will fall into the place on their own.
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 \(P,O,Q\).