Question

The spread of a virus can be modeled by the following function where N is the number of people infected (in hundreds) and t is the time (in weeks). (Round your answers to three decimal places.) N = −t3 + 5t2, 0 ≤ t ≤ 5 (a) What is the maximum number of people projected to be infected? hundred people (b) When will the virus be spreading most rapidly? weeks

Answer #1

Differentiating with respect to t

For critical points

at t=10/3

so t=10/3 is maxima points

hundreds people

(b)

The virus will be spreading most rapidly

**weeks**

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