(See) A medical researcher determines the \boldsymbolt hours after a toxin is introduced into a colony of bacteria, the population will be P(t)=10000(7+15


Question: A medical researcher determines the \(\boldsymbol{t}\) hours after a toxin is introduced into a colony of bacteria, the population will be \(P(t)=10000\left(7+15 e^{-0.05 t}+t e^{-0.05 t}\right)\).

\(a\). What is the population of the bacteria colony when the toxin is introduced?

b. When does the maximum bacterial population occur and what is that population?

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