The rate of spending on grants by foundations in the period of 1993-2003 was approximately s(t)=11+20/(1+1,800e^(-0.9t) billion dollars per year with t being the number of years since 1990 and (t being greater than or equal to 3 while also being less than of equal to 13). How can I estimate the total spending to the nearest $10 billion dollars on grants from 1998 to 2003?

4 answers

since s(t) is the rate of spending, the amount spent is just
∫ s(t) dt
over the interval from t = 5 to 10
So I would just find ∫ [5,10] 11+20/(1+1,800e^(-0.9t)?
Why wouldn't the interval limits be the 3 and 13?
because you didn't read the question carefully.
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