Question

The number of research articles in a prominent journal written by researchers during 1983–2003 can be...

The number of research articles in a prominent journal written by researchers during 1983–2003 can be approximated by

U(t) =

4.5e0.4t
0.5 + e0.4t

thousand articles per year    (0 ≤ t ≤ 20)

where t is time in years (t = 0 represents 1983).

(a) Find an (approximate) expression for the total number of articles (in thousands) written since 1983 (t = 0). HINT [See Example 5.] (Round your coefficients to two decimal places.)

N(t) =



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