In the poem, the things associated with the temporal are the temporary things that exist to a certain point. Human qualities like "Envy", "lazy", "womb"," greedy", vain", "glut", "plummets", "leaden", "hours", and "mortal"," Death"," Chance" are the limitations of a human life, seemingly enslaved by Time.
The things associated with the eternal are "Love", "Peace", "Truth", "Joy", "Throne", "soul"," Stars", which shall attain in heaven.
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 \(P,O,Q\).