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
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?
1 answer
1 answer