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In this problem, use properties of definite integrals. 9. Vx2 - x² - 1 dx. Evaluate

In this problem, use properties of definite integrals. 9. Vx2 - x² - 1 dx. Evaluate

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In this problem, use properties of definite integrals. 9. Evaluate x² - 1 dx.
Transcribed Image Text:In this problem, use properties of definite integrals. 9. Evaluate x² - 1 dx.
The rate of depreciation of a building is given by D'(t) = 5000(20 – t) dollars per year, 0 <t< 20; see the following figure. D'(t) 100 000 80 000 60 000 40 000 20 000 5 10 15 20 (a) Use the graph to find the total depreciation of the building over the first 10 years (t = 0 to t = 10). $ (b) Use the definite integral to find the total depreciation over the first 10 years. $
Transcribed Image Text:The rate of depreciation of a building is given by D'(t) = 5000(20 – t) dollars per year, 0 <t< 20; see the following figure. D'(t) 100 000 80 000 60 000 40 000 20 000 5 10 15 20 (a) Use the graph to find the total depreciation of the building over the first 10 years (t = 0 to t = 10). $ (b) Use the definite integral to find the total depreciation over the first 10 years. $
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