A computerized accounting system offers numerous advantages over manual systems:
Accuracy: Reduces human errors in calculations and ensures accurate financial records.
Efficiency: Speeds up data entry, processing, and generation of financial statements.
Real-Time Data: Provides instant access to financial information for timely decision-making.
Integration: Links various business functions, such as payroll, inventory, and sales, into a unified system.
Data Security: Protects sensitive financial data with encryption and regular backups.
Compliance: Simplifies compliance with tax laws and regulations by automating calculations and reports.
Cost-Effective: Reduces the need for manual bookkeeping, saving time and labor costs.
Scalability: Easily handles growing volumes of transactions as the business expands.
Customizable Reports: Generates a variety of reports, such as profit and loss statements, balance sheets, and cash flow reports, tailored to the business's needs.
Error Detection: Identifies inconsistencies or discrepancies in real time, reducing the risk of fraud.
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 \(P,O,Q\).