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A sociological study was made to examine the process by which doctors decide to adopt a...

A sociological study was made to examine the process by which doctors decide to adopt a new drug. The doctors in group A had little interaction with other doctors and so received most of their information through mass media. Out of the 100 doctors in group A, none knew about the drug at time t=0, but 66 of them were familiar with the drug after 13 months. Let f(t) be the number who have learned about the new drug after t months. Find the formula for f(t). Round k to three decimal places.

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