List of the words used by the characters in their colloquial speech is given below:
1. “Airhead”, meaning a stupid person
2. “Boo boo”, meaning to make mistakes
3. “Glitzy”, meaning fashionable
4. “Airy-fairy”, meaning to be overly idealistic
5. “Tight-arse”, meaning a person who doesn't like to spend money on others
6. “Thick”, meaning to be not very intelligent
7. “Nerd”, meaning a person with lesser social skills
8. “Gnarly”, meaning extreme
9. “Bonkers”, meaning crazy
10. “Eggy”, meaning stressed
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 \(P,O,Q\).