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
′

(2), and the relative rate of change
f

f
′


at t=2.

f(2)=?

f
′

(2)=?

f

f
′


= ?

Interpret your answers in terms of revenue. Round the last answer to one decimal place. (Choose from available answers in parentheses.)

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.

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.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet