XYZ Technologies, Hyderabad is a company that deals with data science and AI projects. They have different divisions: ADMIN, SALES, PRODUCTION and SERVICE. The layout of the Hyderabad branch is: 
The management wants to connect all the devisions as well as the computers of each devision (ADMIN, SALES, PRODUCTION and SERVICE. 
Based on the above specifications, answer the following questions:
(i) Suggest the topology and draw the most suitable cable layout for connecting all the divisions in the Hyderabad office.
(ii) XYZ Technologies is having its head office in the USA. Out of LAN, MAN and WAN, which kind of network will be created to connect Hyderabad office with USA Office? Justify your answer.
(iii) Suggest the division for the placement of server. Explain the reason for your selection.
(iv) Suggest the placement of Switch/Hub with justification.
(v) Where will a repeater be placed in the suggested network layout? Justify your answer.
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 \(P,O,Q\).