Suppose a particular tissue culture has area A(t) at time t and a potential maximum area M.
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Suppose a particular tissue culture has area A(t) at time t and a potential maximum area M. Based on properties of cell division, it is reasonable to assume that the area A grows at a rate jointly proportional to √A(t) and M − A(t); that is,
where k is a positive constant.
a. Let R(t) = A'(t) be the rate of tissue growth. Show that R'(t) = 0 when A(t) = M/3.
b. Is the rate of tissue growth greatest or least when A(t) = M/3?
c. Based on the given information and what you discovered in part (a), what can you say about the graph of A(t)?
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Related Book For 
Calculus For Business, Economics And The Social And Life Sciences
ISBN: 9780073532387
11th Brief Edition
Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price
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