3. Two marks exercise problems II

1. A plane is flying at a speed of \(500 \ km\) per hour. Express the distance travelled by
the plane as function of time \(t\) in hours.

 

The total distance travelled by the car is  \(km\).

 

2. Let \(A = \{9, 10, 11, 12, 13, 14, 15, 16, 17\}\) and let \(f: A \rightarrow N\) be defined by \(f(n) =\) the highest prime factor of \(n \in A\). Write \(f\) as a set of ordered pairs and find the range of \(f\).

 

 

Range of \(f\) \(=\) $\left\{i,i,i,i,i,i\right\}$

 

[Note: Enter the numbers as per the given order]

 

 

3. Find the domain of the function, if \(f(x)\) \(=\) \(\sqrt{1 + \sqrt{1 - \sqrt{1 - x^{2}}}}\).

 

Domain \(=\) \([\) $i,i$\(]\)