Q1: Preview (Courtesy of Leah Keshet's notes; page 198) Ecologists are often interested in the relationship between the area, A, of a region and the number S of species that can inhabit that region. Hopkins (1955; The Journal of Ecology) suggested a relationship of the form, S = a In(1 + bA) where a and b are positive constants. Find the rate of change of the number of species with respect to the area. Does this function have a maximum