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 for a remarkably wide range of plants, from algae and grass to palm trees, the growth rate during the life span dM of an organism satisfies the three-quarter-power law, that is, 3/4 CM4 for some constant C. dt If a tree has a growth rate of 2 kg/year when M = 100 kg, what is its growth rate when M = 105 kg? (Use decimal notation. Give your answer to five decimal places.) dM kg/year dt If M = 0.3 kg, how much more mass must the plant acquire to double its growth rate? (Use decimal notation. Give your answer to five decimal places.) The acquired mass is kg
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 for a remarkably wide range of plants, from algae and grass to palm trees, the growth rate during the life span dM of an organism satisfies the three-quarter-power law, that is, 3/4 CM4 for some constant C. dt If a tree has a growth rate of 2 kg/year when M = 100 kg, what is its growth rate when M = 105 kg? (Use decimal notation. Give your answer to five decimal places.) dM kg/year dt If M = 0.3 kg, how much more mass must the plant acquire to double its growth rate? (Use decimal notation. Give your answer to five decimal places.) The acquired mass is kg
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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