Asked by Kathleen
The sales of Universal Instruments in the first t years of its operation are approximated by the function
S(t) = t
0.96t2 + 25
where S(t) is measured in millions of dollars. What were Universal's average yearly sales over its first 5 years of operation?
S(t) = t
0.96t2 + 25
where S(t) is measured in millions of dollars. What were Universal's average yearly sales over its first 5 years of operation?
Answers
Answered by
Steve
the average value of f(t) over the interval [a,b] is
∫[a,b] f(t) dt
------------------
b-a
So, for this problem, that would be
(∫[0,5] .96t^2+25 dt)/(5-0)
= (.32t^3 + 25t [0,5])/5
= 165/5
= 33
∫[a,b] f(t) dt
------------------
b-a
So, for this problem, that would be
(∫[0,5] .96t^2+25 dt)/(5-0)
= (.32t^3 + 25t [0,5])/5
= 165/5
= 33
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.