Chapter 10.1, Problem 51E

(a)

To determine

To Find: The graph for the given function.

Answer to Problem 51E

The data of the first table shows the negative correlation and the data of table 2 shows the positive correlation.

Explanation of Solution

Given:

The radius $r$ of the circle is $r=\sqrt{\frac{A}{\pi }}$ . Here, $A$ is the area of the circle.

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

Consider the domain of the function is set of all the value for $A$ as $\frac{A}{\pi }>0$ .

Thus, the domain of the function is $\left[0,\infty \right)$ .

Use the graphing utility as,

Press Y= and enter the function as shown in Figure 2

  

Figure 2

Set the viewing window as shown in Figure 3

  

Figure 3

Press the graph button as shown in Figure 4

  

Figure 4

(b)

To determine

To Find: The area of the circle with the radius of 5.4 inch.

Answer to Problem 51E

The area of the circle is approximately 91.61 square inches.

Explanation of Solution

Press the trace button and use the arrow key to move the cursor until the radius is 5.4 as shown in Figure 5

  

Figure 5

The above graph shows that the area of the circle is approximately 91.61 square inches.