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)= 1.6714t^4 - 22.45t^3 + 62.27t^2 + 6.108t + 1029the rents were increasing most rapidly when t = ?

  t = 1.107

Step-by-step explanation:

Finding the solution using derivatives involves finding the lower zero of the quadratic that is the second derivative of the given function. That second derivative will be ...

  f''(t) = 12(1.6714)t^2 -6(22.45)t +2(62.27)

  = 20.0568t^2 -134.7t +124.54

  = 20.0568(t -3.35796)² -101.619 . . . . rewrite to vertex form

Then f''(t) = 0 when ...

  t ≈ 3.35796 -√(101.619/20.0568) ≈ 1.10706

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The solution is perhaps more easily found using a graphing calculator to find the peak of the first derivative. (See attached.) It tells us ...

  t ≈ 1.107

1.1 years after the beginning of 1998 is about 1.2 months into 1999.

Rents were increasing most rapidly in early February of 1999.

pakistan's principal natural resources are arable land and water. about 25% of pakistan's agriculture accounts for about 21% [1] of gdp and employs about 43% of the labour force. in pakistan, the most agricultural province is punjab where wheat and cotton are the most grown.