Chapter 11.6B, Problem 3GCE

(a)

To determine

To describe how this result is related to the answer for Exercise I.

Answer to Problem 3GCE

  $1\text{ square unit}$

Explanation of Solution

Given:

Repeat Exercise 1 setting x=4 as the lower limit and x=2 as the upper limit .

Calculation:

The following is the setting done in calculator-

The following is the shaded region bounded by the lines-

Press 2^nd [QUIT] to go to the home screen. Then press 2^nd [ANS] ENTER

The calculator displayed the area as $1\text{ square unit}$

It is visible from the graph the graph that the shape bounded by the given lines is rectangle-

So its area is-

  $\begin{array}{l}l\times b\\ =(4-2)\times (0.5-0)\\ =2\times 0.5\\ =1\text{ square unit}\end{array}$

(b)

To determine

To find the result that calculator will display when the value of the lower limit Is greater than the value of the upper limit

Answer to Problem 3GCE

Just opposite in sign.

Explanation of Solution

The resultant area will be negative of the area obtained when the lower limit Islesser than the value of the upper limit