Gerbera flowers should be harvested early in the morning or late in the evening when temperatures are cooler. The flowers are cut when the petals begin to unfurl but before full bloom to maximize vase life. The cut is made just above the first mature leaf node to ensure longer stem length and better water uptake.
Immediately after harvesting, Gerbera flowers need to be pre-cooled to remove field heat and slow down respiration. This is typically done by placing the flowers in cool water or refrigerated rooms at temperatures around 4°C to 6°C for a few hours. Pre-cooling helps in extending vase life and maintaining freshness.
Pulsing involves treating the harvested flowers with a sugar and preservative solution (pulsing solution) for a few hours to improve water uptake and enhance longevity. The solution usually contains sucrose, a germicide, and sometimes a plant growth regulator. This process helps to delay senescence and maintain flower quality.
After pulsing, Gerbera flowers are stored in cold storage at temperatures between 0°C and 2°C with high humidity (around 90-95%) to reduce transpiration and metabolic activities. Proper storage conditions help in prolonging shelf life and preserving the color and texture of the flowers until they reach the market.
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 \(P,O,Q\).