The humanistic approach of human geography focuses on understanding the world from the perspective of individuals and communities, emphasizing human experiences, values, emotions, and subjective meanings.
This approach emerged as a response to the more deterministic and scientific perspectives in geography that focused on physical factors or economic models. It emphasizes how people perceive, experience, and interact with their environment.
Key features of the humanistic approach include:
Humanistic geography promotes an understanding of the complexity and diversity of human experiences in relation to their surroundings, seeking to understand the meaning that places and spaces have for people.
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 \(P,O,Q\).