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A bacterial infection in an internal wou...

A bacterial infection in an internal wound grows as `N'(t) = N_(0) 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 N^(2)`. What will be the plot of `N_(0)/N` vs. t after 1 hour?

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