The young trees are personified in the poem. They seem to be running in the opposite direction when seen through the window of the moving car. The movement is juxtaposed with the expression on the mother’s face i.e. ashen like a corpse. The movement of the children and the trees is in stark contrast with the stillness associated with the mother. The vibrancy of youth and the inertia of old age can be corelated here in this expression.
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 \(P,O,Q\).