The last stanza of the poem, "through the knocked-out clockwork, after the riot, a peace-march time bomb, or a precise act of nature in light of lightning," reflects the title of the poem, "Time and Time Again". It shows that after many quarrels, conflicts and communal disharmony, a peaceful time may arrive soon. But, as we say, "when winters come, can spring be far behind", which sometimes means we can experience a good time once bad times have passed and gone away.
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 \(P,O,Q\).