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(Step-by-Step) BACTERIAL POPULATION A bacterial colony is estimated to have a population of P(t)=(24 t+10)/(t^2+1) million t hours after the introduction of a

Question: BACTERIAL POPULATION A bacterial colony is estimated to have a population of

\[P(t)=\frac{24 t+10}{t^{2}+1}\]

million \(t\) hours after the introduction of a toxin.

  1. At what rate is the population changing 1 hour after the toxin is introduced \((t=1) ?\) Is the population increasing or decreasing at this time?
  2. At what time does the population begin to decline?

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