On the Upanishads Here are two verses from the Chhandogya Upanishad, a text composed in Sanskrit c. sixth century BCE:
The Nature of the Self
This self of mine within the heart, is smaller than paddy or barley or mustard or millet or the kernel of a seed of millet. This self of mine within the heart is greater than the earth, greater than the intermediate space, greater than heaven, greater than these worlds.
The True Sacrifice
This one (the wind) that blows, this is surely a sacrifice. . . . While moving, it sanctifies all this; therefore it is indeed a sacrifice.
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 \(P,O,Q\).