Chapter 5.3, Problem 56E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

**Revenue** The rate of change in revenue for DIRECTV from 2004 through 2013 can be modeled by

*R* is the revenue (in billions of dollars) and *t* is the time (in years), with *t* = 4 corresponding to 2004. In 2010, the revenue for DIRECTV was $24.1 billion. *(Source: DIRECTV)*

(a) Find a model for the revenue of DIRECTV.

(b) Find the revenue of DIRECTV in 2013.

**(a)**

To determine

**To calculate:** A model function for the revenue of DIRECTV from 2004 through 2013 that rate of change given by

Explanation

**Given Information:**

The rate of change of revenue function,

When

Where time (in days) is t and *R* is the revenue (in billions of dollars).

**Formula used:**

The exponent rule of integrals:

Here, *u* is function of *x*.

The property of Intro-differential:

The logarithmic rule of integration:

**Calculation:**

Consider the rate of change of revenue function,

Integrate both sides with respect to *t*,

**(b)**

To determine

**To calculate:** The revenue of DIRECTV in 2013.

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