In the poem, the poet Milton feels that it is not necessary to put up a monument in stone for Shakespeare because he had already made a mark in the minds of his readers. Instead, he had built a memorial for himself through his works which he would remember for a lifetime. Readers received Shakespeare's words the way one would accept the terms from God. Therefore, his statements created an everlasting impression in his readers' thoughts, which is mightier than a monument.
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 \(P,O,Q\).