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6. Then number of infected individuals in a population can be modeled with the following function:...

6. Then number of infected individuals in a population can be modeled with the following function:

20 I(t) = 10 − √ t,

where t is measured in days.

  1. (a) Using linear approximation, estimate the number of in- fected individuals at time t = 18. You should linearize around the point t = 16.

  2. (b) Starting at t = 16, use linear approximation to estimate the number of newly infected individuals over the next 0.5 days.

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