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The Derivative
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Power and Sum Rules
Problem 12
Suppose that, during a flu epidemic, the number of people ill with flu symptoms can be approximated by the function N(t)=90t2−t3,0≤t≤70 where t is measured in days since the beginning of the epidemic.
At what rate are flu symptoms spreading on day 15 of the epidemic, and how many people are ill with the flu on day 15?
At what rate is the flu spreading on day 65?
When is the flu spreading at the rate of 1500 people per day?
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