Suppose that 0 y_0 N . Let b=(N-y_0) / y_0, and let y(x)=N /(1+b e^-k x

Suppose that 0 lt; y_0 lt; N . Let b=(N-y_0) / y_0, and let y(x)=N /(1+b e^-k x) for all x . Show the following. [ (a) 0 lt; y(x) lt; N for all x; (b) The lines y=0 and y=N are horizontal asymptotes of; the graph.; (c) y(x) is an increasing function.; (d) ((lnb) / k, N / 2) is a point of inflection of the graph.; (e) d y / d x is a maximum at x_0=(lnb) / k ]

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