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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

Depreciation The rate of depreciation of a building is given by D ' ( t )   =   3000 ( 20     t ) dollars per year, 0 t 20 ; see the figure in Problem 53.

(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 t=0 to t=20 from the graph where the rate of depression is given by D(t)=3000(20t) dollars per year.

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 13.2, Problem 54E , additional homework tip  1

Explanation

Given Information:

The provided figure is:

Formula used:

The area of a triangle is 12×base×height.

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 12×base×height.

Since height is the length from t=0 to t=20

(b)

To determine

To calculate: The total depreciation of the building over the first 20 years from t=0 to t=20 from the graph where the rate of depression is given by D(t)=3000(20t) dollars per year using definite integral.

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 13.2, Problem 54E , additional homework tip  2

(c)

To determine

To calculate: The total depreciation of the building between 10 years and 20 years from t=10 to t=20 from the graph and check it with definite integral where the rate of depression is given by D(t)=3000(20t) dollars per year.

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 13.2, Problem 54E , additional homework tip  3

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Chapter 13 Solutions

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Sect-13.1 P-9ESect-13.1 P-10ESect-13.1 P-11ESect-13.1 P-12ESect-13.1 P-13ESect-13.1 P-14ESect-13.1 P-15ESect-13.1 P-16ESect-13.1 P-17ESect-13.1 P-18ESect-13.1 P-19ESect-13.1 P-20ESect-13.1 P-21ESect-13.1 P-22ESect-13.1 P-23ESect-13.1 P-24ESect-13.1 P-25ESect-13.1 P-26ESect-13.1 P-27ESect-13.1 P-28ESect-13.1 P-29ESect-13.1 P-30ESect-13.1 P-31ESect-13.1 P-32ESect-13.1 P-33ESect-13.1 P-34ESect-13.1 P-35ESect-13.1 P-36ESect-13.1 P-37ESect-13.1 P-38ESect-13.1 P-39ESect-13.1 P-40ESect-13.2 P-1CPSect-13.2 P-2CPSect-13.2 P-1ESect-13.2 P-2ESect-13.2 P-3ESect-13.2 P-4ESect-13.2 P-5ESect-13.2 P-6ESect-13.2 P-9ESect-13.2 P-10ESect-13.2 P-11ESect-13.2 P-12ESect-13.2 P-7ESect-13.2 P-8ESect-13.2 P-23ESect-13.2 P-24ESect-13.2 P-13ESect-13.2 P-14ESect-13.2 P-15ESect-13.2 P-16ESect-13.2 P-17ESect-13.2 P-18ESect-13.2 P-19ESect-13.2 P-20ESect-13.2 P-21ESect-13.2 P-22ESect-13.2 P-25ESect-13.2 P-26ESect-13.2 P-27ESect-13.2 P-28ESect-13.2 P-29ESect-13.2 P-30ESect-13.2 P-31ESect-13.2 P-32ESect-13.2 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