On clearance and settled cultivation
Passing through one village in the lower Rajmahal hills, Buchanan wrote: The view of the country is exceedingly fine, the cultivation, especially the narrow valleys of rice winding in all directions, the cleared lands with scattered trees, and the rocky hills are in perfection; all that is wanted is some appearance of progress in the area and a vastly extended and improved cultivation, of which the country is highly susceptible. Plantations of Asan and Palas, for Tessar (Tassar silk worms) and Lac, should occupy the place of woods to as great an extent as the demand will admit; the remainder might be all cleared, and the greater part cultivated, while what is not fit for the purpose, might rear Plamira (palmyra) and Mowa (mahua).
Buchanan described the view of the lower Rajmahal hills as exceedingly fine and picturesque. He observed:
Despite the aesthetic appeal, Buchanan noted a lack of developmental progress and believed the region held significant agricultural potential.
Buchanan believed the area had high potential for improved cultivation because:
Buchanan proposed a range of strategies to economically benefit from the land:
His suggestions reflect a colonial mindset that aimed to maximize land productivity and generate revenue from local natural resources.
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 \(P,O,Q\).