To solve the problem, we need to understand the usage of the ROUND function in Excel, which is used to round numbers to a specified number of digits.
1. Purpose of the ROUND Function:
The ROUND function is used to round a number to a specified number of digits. It can round both decimal and whole numbers.
2. Syntax of the ROUND Function:=ROUND(number, num_digits)
Where:
number is the numeric value you want to round.num_digits specifies the number of digits to which you want to round the number.3. Explanation with Examples:
=ROUND(12.3456, 2) returns 12.35 — rounds to 2 decimal places.=ROUND(12.3456, 0) returns 12 — rounds to nearest whole number.=ROUND(12.3456, -1) returns 10 — rounds to nearest 10.4. Rounding Behavior:
If the digit following the rounding position is 5 or more, Excel rounds the number up. Otherwise, it rounds down.
Final Answer:
The ROUND function in Excel rounds a number to a specified number of digits, using the syntax:=ROUND(number, num_digits)
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 \(P,O,Q\).