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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 6.5, Problem 8E

(a)

To determine

**To find**: The average value of the function

Expert Solution

The average value of the function is 0.549.

**Given information:**

The function is

**Calculation:**

Show the function as follows:

The expression to find the average value of the function

Here, the upper limit is *b*, the lower limit is *a*, and the function is

Substitute 1 for *a*, 3 for *b*, and

Integrate Equation (3) with respect to *x* and apply the limits.

Thus, the average value of the function is 0.549.

(b)

To determine

**To find**: The value of count *c.*

Expert Solution

The value of *c* is 1.82.

**Given information:**

The function is

**Calculation:**

Find the value of *c* using the formula:

Substitute 0.549 for

Substitute *c* for *x* in Equation (1)

Substitute 0.549 for

Thus, the value of *c* is 1.82.

(c)

To determine

**To draw**: The graph of the function *f.*

Expert Solution

Substitute 1.82 for *x* in Equation (1)

Draw the graph for the curve function