The poet has two explicit ideologies in the narration. The first ideology is to depict the bond of love between the lovers and the understanding between them. Here, in this ideology, the poet, based on the length of the shadow, compares the relationship. In the second ideology, the poet expresses a likeness to love being essential during the beginning and end stages of the relationship.
| houres shadowes Sunne noone clearnesse behinde |
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 \(P,O,Q\).