Problem 36

Given information

The major difference between place value and face value is that the place value deals with the position of the digit, and the face value represents the actual value of a digit. The number system is available and is essential) for characterizing the digits into groups of tens, hundreds, and even thousands.

Step-by-step explanation

The extreme values occur at critical points or endpoints by Theorem 3, so we can break up the problem neatly into two steps.

Here given function  for the interval we need to find the maxima and minima

The graph shows the and touches at axis at and for interval 

So, the critical point at and 

From the graph of   we can understand that function has maximum at   and the maximum value is   and minimum at and minimum value is and the maximum value is and minimum at and minimum value is