Scientific Research The percentage of research articles in the prominent j...

Scientific Research The percentage of research articles in the prominent journal Physical Review written by researchers in the United States can be modeled by

where t is time in years (t = 0 represents 1983).4 Numerically estimate and interpret the answer. HINT [See Example 6.]

Example 6:

The percentage of U.S. Internet-connected households that have broadband connections can be modeled by

where t is time in years since 2000.*

Thus, in the long term (as t gets larger and larger), the percentage of U.S. Internet Tech Formula: connected households that have broadband is expected to approach 100%.

(Notice that in this case, we can simply put t = 0 to evaluate this limit.) Thus, the closer t gets to 0 (representing 2000) the closer P(t) gets to 8.475%, meaning that, in 2000, about 8.5% of Internet-connected households had broadband.