Chapter 5.3, Problem 55E

### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Chapter
Section

### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Revenue The rate of change in revenue for the Priceline Group from 2004 through 2013 can be modeled by d R d t = 0.07 e 0.2387 t where R is the revenue (in billions of dollars) and t is the time (in years), with t = 4 corresponding to 2004. In 2013, the revenue for the Priceline Group was $6.8 billion. (Source: The Priceline Group)(a) Find a model for the revenue of the Priceline Group.(b) Find the revenue of the Priceline Group in 2012. (a) To determine To calculate: The model function for revenue of the Priceline Group from 2004 through 2013 that rate of change can be modeled by dRdt=0.07e0.2387t Explanation Given Information: The rate of change in revenue for the Priceline Group is, dRdt=0.07e0.2387t When t=4 year, Priceline Group is$6.8 billion.

Where time (in year) is t.

Formula used:

The exponent rule of integrals:

eu(x)du(x)=eu(x)+C (for n1)

Here, u is function of x.

The property of Intro-differential:

df(x)dxdx=f(x)

Calculation:

Consider population's rate of change:

dRdt=0.07e0.2387t

Integrate both sides with respect to t.

dRdtdt=(0.07e0.2387t)dt+CR(t)=(0.07e0.2387t)dt+C

Consider the integration:

(0

(b)

To determine

To calculate: The revenue of the Priceline Group in 2012.

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