A factorial of a number is the product of all positive integers less than or equal to that number.
For example, the factorial of 5 is: 5 × 4 × 3 × 2 × 1 = 120.
In Java, this can be achieved using a for loop, where we multiply the number iteratively.
Below is the Java program to compute the factorial of 5:
This program initializes a variable factorial to 1 and multiplies it by each number from 1 to 5 using a for loop.
Finally, the result is printed on the screen.
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 \(P,O,Q\).