Solved: Spread of a contagious disease the incidence number of new, Mathematics

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Spread of a contagious disease the incidence number of new

Question: SPREAD OF A CONTAGIOUS DISEASE The incidence (number of new cases/day) of a contagious disease spreading in a population of M people is given by

R(x) = kx(M - x)

Where k is a positive constant and x denotes the number of people already infected. Show that the incidence R is greatest when half the population is infected.

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Mathematics: Spread of a contagious disease the incidence number of new

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