Question

1. Let P(t) represent the number of people who have been infected by a disease t day 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? (Hint: Interpret the statement P ′ (34) = 11, being sure to clearly specify what the 34 and the 11 represent.)

(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.

Answer 1