Boosting public investment will have the following impacts:
Income: Increased investment leads to higher aggregate demand, generating income for contractors, suppliers, and workers involved in the project.
Employment: Public investments create direct and indirect employment opportunities, reducing unemployment.
Output: The multiplier effect ensures that the initial investment leads to multiple rounds of increased production and services in the economy. Thus, public investments have a positive impact on income, employment, and output, promoting economic growth.
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 \(P,O,Q\).