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  3. consider the growth of a cell assumed to be spheri

Consider the growth of a cell assumed to be spherical in shape Suppose that the...

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Calculus

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Consider the growth of a cell assumed to be spherical in shape Suppose that the radius of the cell r increases at a constant rate per uni time Call the constant k Express your answers in terms of the radius of the cell r and its growth rate k a At what rate does the volume V increase dV dt b At what rate does the surface area S increase dS dt c At what rate does the ratio of surface area to volume S V change d S dt V Does the ratio S V decrease or increase as the cell grows

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