The accounting cycle refers to the complete process of recording and processing all financial transactions over a specific period. It helps in generating accurate financial statements. The basic phases of the accounting cycle include:
1. Identifying Transactions: Recognizing financial transactions as they occur.
2. Recording Transactions: Entering transaction data into journals.
3. Posting to Ledger: Transferring journal entries to the respective accounts in the ledger.
4. Trial Balance: Preparing a trial balance to ensure debits equal credits.
5. Adjusting Entries: Making necessary adjustments for accrued or deferred transactions.
6. Financial Statements: Preparing the income statement, balance sheet, and cash flow statement.
7. Closing Entries: Closing temporary accounts and transferring their balances to permanent accounts.
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 \(P,O,Q\).