Answered: According to a September 9, 2007,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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According to a September 9, 2007, article in ZDNet, the number of Facebook users "is growing at 3 to 4 percent compounded weekly, with about 38 million members currently."

(b) Use these data (and a 3.5% weekly growth rate) to develop the exponential growth model for the number of users, where t is the number of weeks after September 9, 2007, and p is the number of Facebook members in millions.

p(t) =

(c) Use the model to predict the number of Facebook users in the first week of January 2011. (Assume the total number of weeks is 173. Round your answer to the nearest whole number.)
million

(d) The article goes on to say that "In three years, we could have everybody on the planet, but that's not going to happen." Discuss why it's not going to happen and what this means about using an exponential model to make predictions.

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