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The average monthly rent for a​ 1000-sq-ft apartment in a major metropolitan area from 1998 through...

The average monthly rent for a​ 1000-sq-ft apartment in a major metropolitan area from 1998 through 2005 can be approximated by the function below where t is the time in years since the beginning of 1998. Find the value of t when rents were increasing most rapidly. Approximately when did this​ occur?

f(t)=1.6596t4- 20.111t3 + 62.07t2 + 6.4223t + 1016

The rents were increasing most rapidly when t=______

​(Do not round until the final answer. Then round to three decimal places as​ needed.)

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