A disease is spreading in such a way that after t weeks, the number of people infected is

a. At what rate is the epidemic spreading after 3 weeks?

b. Suppose health officials declare the disease to have reached epidemic proportions when the percentage rate of change of N is at least 25%. Over what time period is this epidemic criterion satisfied?

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N(t) = 5,175 t³(t - 8) - 0≤t≤8