Properties that can be manipulated using Protein Engineering: Using Protein Engineering techniques, various properties of proteins can be modified, and some of these include:
– Thermal stability: The protein can be modified to make it stable at higher temperatures.
– pH stability: The protein can be modified to make it stable in a wider range of pH.
– Solvent tolerance: This allows the protein to function effectively in the presence of various solvents.
– Solubility: It is possible to manipulate the solubility of the protein.
– Catalytic Potency: This enables one to enhance the catalytic activity of a protein.
– Biological adaptation to environmental stresses: Using protein engineering, proteins can be manipulated to increase their tolerance to various stresses, such as high salinity, drought, and extreme temperatures.
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 \(P,O,Q\).