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A population model is used to describe how the rate of reproduction of orgarisms depends on the amount of nutrients that are avalable. The model

A population model is used to describe how the rate of reproduction of orgarisms depends on the amount of nutrients that are avalable. The model shows how the rate of division of E. cot cells depends upon the amount of sugar added 10 their growth flask. If r is the rabe of reproduction (number of divisions in one hour) and C is the amount of glucose sugar added to the growth medium measured in moles, then the folowing applies.
r(C)=133CC0.2610-4
(a) Show that the reproduction rath goes to zero when the sugar level is loar, that is Im,n(C)=0.
Since I is continuous atC=0,limC0n(C)=H|,|=1.350.2610-4=0
A population model is used to describe how the

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