Chapter 6.2, Problem 7QY

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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A manufacturing company forecasts that the demand *x* (in units) for its product over the next 5 years can be modeled by

*t* is the time in years.

(a) Find the total demand over the next 5 years.

(b) Find the average annual demand during the 5-year period.

**(a)**

To determine

**To calculate:** The total demand over next five years, when demand of the product over next five years is modelled as

Explanation

**Given Information:**

The demand of the product over next five years is modelled as

**Formula used:**

The formula for integration by parts is,

Here,

Integral Rule of exponential function:

Here,

**Calculation:**

Consider the provided integral,

Integrate the above function from lower limit as 0 and higher limit as 5 in order to find the total demand over next five years.

Rewrite.

Let

And,

Apply integration by parts and power rule of integration to solve integral of

**(b)**

To determine

**To calculate:** The average annual demand during five years, when demand of the product over next five years is modelled as

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