Suppose a population of size N is exposed to a contagious disease. If t is the time in days and y is the number of individuals infected at time t, then y= where k is the infection rate. The maximum 1+ (N - 1) e - kt In (N - 1) infection rate occurs at time tm= k An island has a native population of 1622, and a sailor from a visiting ship introduces a disease which has an infection rate of k = 0.27. Complete parts a through d. a. Write an equation for the number of natives who remain uninfected. Let z represent the number of uninfected natives. Z=

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