## A new DVD is available for sale in a store one week after its release. The cumulative revenue, $R, from sales of the DVD in th Question A new DVD is available for sale in a store one week after its release. The cumulative revenue,$R, from sales of the DVD in this store in week t after its release is

R=f(t)=260 ln t with t>1.Find f(2), f
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(2), and the relative rate of change
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at t=2.

f(2)=?

f
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(2)=?

​f

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= ?

Two weeks after the DVD was released,

the revenue from sales is $____?_____. and is (increasing/decreasing) at a rate of$___?____ per week,

or ___?____% per week.

in progress 0
5 days 2021-10-09T23:47:48+00:00 1 Answer 0

f(2) = $180.22 f'(2) =$130.00/week

f'(2)/f(2) = 72.13%

Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of$130 per week,  or 72.13% per week.

Step-by-step explanation:

The revenue from sales, in dollars, as a function of time, in weeks, is given by: After two weeks (t=2), the revenue from sales is: The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is: The relative rate of change is: Therefore, Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of$130 per week,  or 72.13% per week.