Chapter 13.2, Problem 54E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Depreciation** The rate of depreciation of a building is given by

(a) Use the graph to find the total depreciation of the building over the first 20 years.

(b) Use a definite integral to find the total depreciation over the first 20 years.

(c) Use the graph to find the total depreciation between 10 years and 20 years and check it with a definite integral.

**(a)**

To determine

**To calculate:** The total depreciation of the building over the first 20 years from

Explanation

**Given Information:**

The provided figure is:

**Formula used:**

The area of a triangle is

**Calculation:**

Consider the figure

.

The area of the shaded region represents the total depreciation of the building over the first 20 years.

Since, the region is a triangle.

Recall that area of a triangle is

Since height is the length from

**(b)**

To determine

**To calculate:** The total depreciation of the building over the first 20 years from

**(c)**

To determine

**To calculate:** The total depreciation of the building between 10 years and 20 years from

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