Chapter 6, Problem 4TYS

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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The sales *S* (in billions of dollars) for Dollar General from 2008 through 2013 can be modeled by

*t* is the year, with *t* = 8 corresponding to 2008. *(Source: Dollar General Corporation)*

(a) Find the total sales for the years 2008 through 2013.

(b) Find the average sales for the years 2008 through 2013.

**(a)**

To determine

**To calculate:** The total sales for the year

Where, year

Explanation

**Given Information:**

The sales function is provided as:

Year

The total sales between 20018 through 2013 is to be obtained.

**Formula used:**

The formula for the integration by parts is:

**Calculation:**

Total sales form the year 2008 through the year 2013 will be the integral of the sales in this time span.

Year 2008 corresponds to

Mathematically, it is expressed as:

Consider integral:

Assume

Integrate,

And assume

Differentiate,

Use integration by parts to integrate

**(b)**

To determine

**To calculate:** The average sales for the year

Where, year

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