According to one hypothesis, the growth rate dV /dt of a cells volume V is proportional

Chapter 9, Problem 57

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According to one hypothesis, the growth rate dV /dt of a cells volume V is proportional to its surface area A. Since V has cubic units such as cm3 and A has square units such as cm2, we may assume roughly that A V 2/3, and hence dV /dt = kV 2/3 for some constant k. If this hypothesis is correct, which dependence of volume on time would we expect to see (again, roughly speaking) in the laboratory? (a) Linear (b) Quadratic (c) Cubic

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