   Chapter 8.4, Problem 14E

Chapter
Section
Textbook Problem

If revenue flows into a company at a rate of f ( t ) = 9000 1 + 2 t , where t is measured in years and f (t) is measured in dollars per year, find the total revenue obtained in the first four years.

To determine

To calculate: The total revenue obtained in the first four years.

Explanation

Given information:

The revenue flows into a company at a rate of f(t)=9,0001+2t.

Time t is measured in years and f(t) is measured in dollars per year.

Calculation:

Find the revenue as shown below

R=abf(t)dt (1)

Substitute 0 for a, 4 years for b, and 9,0001+2t dollars per year for f(t) in Equation (1).

R=049,0001+2tdt (2)

Consider u=1+2t

Differentiate both sides of the Equation.

du=2dtdt=du2

Substitute u for 1+2t and du2 for dt in Equation (2)

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