As a pait of his tescarch, Arun conducted a study on the number of locusts in a forest, He compiled his findings in the form of the following dala.
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 \(P,O,Q\).
Ecology is the branch of biology that involves the study of the interactions that takes place between an organism and its environment. Any biological organization consists of 4 levels, namely, Organisms, Populations, Biomes, and Communities.
An Organism is an attached living system that lives in an environment. They are able to retain specific behaviours and structure such as bacteria, fungi, plants, animals, and humans. A population is formed by the collection of all these organisms. The collection of population forms a community that helps in the operation of ecosystems.
The study of the interaction of organisms in an area with the surrounding environment is Ecology. This interaction constitutes an overall adaptation of the organisms to their environment that also includes the continuity of species.
The environment comprises of both biotic (living things) and abiotic components (non-living things)
Food Chain is the transfer of food energy from the plant source through a series of organisms that consume and are consumed.
Grass(Producer) → Deer(Herbivore) → Tiger(Carnivore), Grass(Producers) → Insect(Herbivores) → Frog(Carnivores) → Snake(Secondary Carnivore).
Food web is the interlocking pattern of multiple food chains in the ecosystem. In this, many food chains are interconnected and there are increased possibilities of eating and getting eaten by different organisms of various species.