4. For a particular species of mango tree, the total biomass B (in grams) of a tree with diameter at breast height D (in cm) can be modelled with the following allometric equation: B = 0.00056 × D².67. Suppose also that the diameter at breast height D (in cm) depends on the age A (in years) of the tree as follows: D = 8.6 × Aº.58 (a) Consider the following two plots of data with the axis labels missing. If these data are mea- surements related to the relationships between biomass, diameter and age of mango trees, write down appropriate labels for the axes and explain why you made these choices. ++ (b) Write down a model for the total biomass of the tree as a function of age and draw a rough
4. For a particular species of mango tree, the total biomass B (in grams) of a tree with diameter at breast height D (in cm) can be modelled with the following allometric equation: B = 0.00056 × D².67. Suppose also that the diameter at breast height D (in cm) depends on the age A (in years) of the tree as follows: D = 8.6 × Aº.58 (a) Consider the following two plots of data with the axis labels missing. If these data are mea- surements related to the relationships between biomass, diameter and age of mango trees, write down appropriate labels for the axes and explain why you made these choices. ++ (b) Write down a model for the total biomass of the tree as a function of age and draw a rough
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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