Stress is a psychological and physical response to challenging or threatening situations. It is commonly characterized by feelings of being upset, annoyed, anxious, or hopeless. When a person faces difficulties or pressures, the body reacts by releasing stress hormones, which prepare the individual for “fight or flight.” However, prolonged stress can negatively affect mental and physical health, leading to anxiety, depression, and other disorders.
Characteristics of stress:
Understanding stress and managing it through relaxation techniques, time management, and support is essential for mental well-being.
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 \(P,O,Q\).