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Fossil-fuel emissions Carbon in the atmosphere is due to carbon dioxide ( CO 2 ) emissions from fossil-fuel burning and is considered to be a primary contributor to climate change. Using data from the Organization for Economic Cooperation and Development (OECD) for selected years from 1980 and projected to 2050, global CO 2 emissions can be modeled by the differential equation d E d t = 0.0164 E where t is the number of years past 1980 and E is global CO 2 emissions (in gigatons). Solve this differential equation and find a particular solution that satisfies E ( 0 ) = 18.5 . Graph your solution and compare it with the following graph that shows OECD’s data and projections.

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Mathematical Applications for the ...

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

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042
Chapter 12.5, Problem 59E
Textbook Problem
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Fossil-fuel emissions Carbon in the atmosphere is due to carbon dioxide ( CO 2 ) emissions from fossil-fuel burning and is considered to be a primary contributor to climate change. Using data from the Organization for Economic Cooperation and Development (OECD) for selected years from 1980 and projected to 2050, global CO 2 emissions can be modeled by the differential equation

d E d t = 0.0164 E

where t is the number of years past 1980 and E is global CO 2 emissions (in gigatons).

  1. Solve this differential equation and find a particular solution that satisfies E ( 0 ) = 18.5 .

  2. Graph your solution and compare it with the following graph that shows OECD’s data and projections.

    Chapter 12.5, Problem 59E, Fossil-fuel emissions Carbon in the atmosphere is due to carbon dioxide (CO2) emissions from

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