Let P(t) represent the number of people who have been infected by a disease t days after it was first detected in a particular community.
(a) Suppose P' (34) = 11. What does this tell us about the infections in this community?
(b) Suppose that P' (58) = 0. Based on this information, do we know that the disease has reached its peak infection rate on day 58? Explain.
(c) Suppose P'' (34) = 8. Based on this and on information from previous questions, provide an estimate of P’(35), and explain your reasoning.
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