In Example 3, the number of infected individuals is given by Equation (7). (a) Show that the

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In Example 3, the number of infected individuals is given by Equation (7).
(a) Show that the number of uninfected individuals is given by

(b) Graph the equation in part (a) and Equation (7) on the same axes when N = 100 and k = 1.
(c) Find the common inflection point of the two graphs.
(d) What is the significance of the common inflection point?
(e) What are the limiting values of y and N - y?

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