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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