All the above-depicted expressions evoked the emotions of fear and weakness. Eveline was confused about whether to go ahead with her happiness or the promise given to her mother to stay back and fulfil her duties towards her family. She was in great pain, and her heart was very heavily loaded with emotions, making it impossible for her to go away with Frank. All these instances depict her loneliness and the burden of leaving her family for personal benefit.
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 \(P,O,Q\).