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When the growth of a spherical cell depends on the flow of

Question: When the growth of a spherical cell depends on the flow of nutrients through the surface, it is reasonable to assume that the growth rate, dV /dt, is proportional to the surface area, S. Assume that for a particular cell dV /dt = 1 3S. At what rate is its radius r increasing?

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Mathematics: When the growth of a spherical cell depends on the flow of

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