Question

A bacterial infection in an internal wound grows as N^'(t) = N₀ exp(t), where the time t is in hours. A dose of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down-as `(dN)/(dt)` = −5 N². What will be the plot of `N_0/N` vs t after 1 hour?

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Answer 1