The V-I characteristics of a diode have the following shape:

(A) In the forward bias region, when the applied voltage exceeds the threshold (typically 0.7 V for silicon), the current increases exponentially with increasing voltage.
(B) In the reverse bias region, the current remains very small (ideally zero) until the reverse breakdown voltage is reached.
The graph shows an exponential rise in current in the forward bias region and an almost flat response in the reverse bias region (until breakdown).
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 \(P,O,Q\).