Question: Ecologists are often interested in the relationship between the area,A A, of a region and the numberS of species that can inhabit that region. Hopkins

Ecologists are often interested in the relationship between the area,A

A, of a region and the numberS of species that can inhabit that region. Hopkins (1955; The Journal of Ecology) suggested a relationship of the form,

S=aln(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?

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