   Chapter 5.3, Problem 21QY ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

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

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# The rate of change in revenue for Under Armour from 2004 through 2013 can be modeled by d R d t = 35.38 t − 612.804 t where R is the revenue (in millions of dollars) and t is the time (in years), with t = 4 corresponding to 2004. In 2004, the revenue for Under Armour was \$205.2 million. (Source: Under Armour, Inc.)(a) Find a model for the revenue of Under Armour.(b) Find the revenue of Under Armour in 2010.

(a)

To determine

To calculate: The model function for the revenue (in millions of dollars) of under Armour that rate of change in revenue for Under Armour from 2004 through 2013 can be model as:

dRdt=35.38t612.804t

Explanation

Given Information:

The rate of change in revenue for Under Armour from 2004 through 2013 can be model as:

dRdt=35.38t612.804t

Formula used:

The power rule of integrals:

undu=un+1n+1+C (for n1)

Here, u is function of x.

The property of Intro-differential:

df(x)dxdx=f(x)

Calculation:

The rate of change in revenue for Under Amour from 2004 through 2013 can be modeled by

dRdt=35.38t612.804t

Integrate both side with respect to t.

dRdtdt=(35.38t612.804t)dtR(t)=(35.38t612.804t)dt

Now apply power and logarithmic rule of integration:

(35

(b)

To determine

To calculate: The revenue of Under Amour in 2010.

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