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The function ?(?) = 20t/(16+ ?^2) describes the population P (in millions) of infectious bacteria in...

The function ?(?) = 20t/(16+ ?^2) describes the population P (in millions) of infectious bacteria in the world t months after its first appearance.

a) Determine the number of months (after the appearance of the bacteria) the population of bacteria will be at its maximum. ______________________

What is the value of that maximum ? _________________

b) Provide a valid mathematical reasoning to support that over time, the infectious bacteria will only decrease to zero.

Math   Calculus   
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