   Chapter 13.2, Problem 59E ### Mathematical Applications for the ...

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

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

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

# C O 2 emissions Using U.S. Energy Information Administration data from 2010 and projected to 2030, the carbon dioxide emissions from biomass energy combustion (in millions of metric tons per year) can be modeled by C ( t )   =   19.12 t   +   319.0 where t is the number of years past 2010. Evaluate ∫ 0 10 C ( t )   d t and tell what it represents.

To determine

To calculate: The value of 010C(t)dt and what it represents where the carbon dioxide emissions from biomass energy combustion in million of metric tons per year is modelled by C(t)=19.12t+319.0.

Explanation

Given Information:

The provided function is C(t)=19.12t+319.0.

Formula used:

To calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

The value of the integral xndx=xn+1n+1.

Calculation:

Consider the function C(t)=19.12t+319.0.

Evaluate the integral is 010C(t)dt.

Since, C(t)=19.12t+319.0.

Thus, the integral is 010(19.12t+319.0)dt.

Recall that to calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

Thus, evaluate the integral.

Simplify the integral by the use of the formula xndx=xn+1n+1.

010(19.12t+319.0)dt=(19

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