
The irregular trends in $\text{E\(^0\)}_{M^{2+}/M }$ values from Vanadium to Zinc are due to irregular values of \((\Delta H(_1) + \Delta H(_2))\) and sublimation enthalpies. These values are influenced by factors like the ionization energies and the differences in the stability of the ions formed.
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 \(P,O,Q\).