When Bessie asked Harry, "Are you truly Harry Hagberd?" he was taken aback. ‘Can you back it up?' Yes, I can prove that, Harry said confidently. Harry smeared a fake beard on his chin and asked Bessie, "Do I look like him or not?" 'It's true,' Bessie said mumbling. After that, he told Bessel every detail that proved he is just Harry, such as how Mother chastised me for being idle, and the old man threatened to tear my soul out of my body rather than let me go to sea. Well, it seems that he would as well. Bessie was persuaded by Harry's memorybased information that the young man was definitely Harry.
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 \(P,O,Q\).