[All Steps] NEWSPAPER CIRCULATION It is estimated that t years from now, the circulation of a local newspaper will be C(t)=100 t^2+400 t+5,000 Derive an expression


Question: NEWSPAPER CIRCULATION It is estimated that \(t\) years from now, the circulation of a local newspaper will be \(C(t)=100 t^{2}+400 t+5,000\)

  1. Derive an expression for the rate at which the circulation will be changing with respect to time \(t\) years from now.
  2. At what rate will the circulation be changing with respect to time 5 years from now? Will the circulation be increasing or decreasing at that time?
  3. By how much will the circulation actually change during the sixth year?

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