Let M(t) be the mass (in kilograms) of a plant as a function of time (in years). Recent studies by Niklas and Enquist have suggested that a re- markably wide range of plants (from algae and grass to palm trees) obey a three-quarter-power growth law that is, dM = CM³/4 for some constant C dt (a) If a tree has a growth rate of 6 kg/yr when M = 100 kg, what is its growth rate when M = 125 kg? (b) If M = 0.5 kg, how much more mass must the plant acquire to double its growth rate?

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