Hana will help the wounded man and wash him herself.The wounded American was in a very bad state and needed to be washed before being operated on. Hana did not want Dr Sadao to clean the dirty and unconscious prisoner, and so asked their servant, Yumi, to do so. However, Yumi defied her master’s order and did not help.She thought she would be punished by law for being a traitor to her country. As a result, Hana had no other option but to wash him herself. Although this act was impulsive and dipped in a sense of superiority over her servant, Yumi, she did it with sincerity.
How did Dr. Sadao plan the American prisoner’s escape? (The Enemy)
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 \(P,O,Q\).