The height
Consider the following data on a tree.

For each of the measurements,
a. Estimate the rate of change at each age.
b. Graph the rate of change as a function of age.
c. Find and graph the rate of change divided by the value as a function of age.
d. Use these results to describe the growth of this tree with a differential equation.

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Age Height (m) Mass (metric tons) 30.0 39.1 50.6 65.8 85.9 10.11 1118 12.40 13.74 15.01 16.61 6 18.27 20.17 8 22.01 9 24.45 10 268s 144.2 187.7 244.1 319.2 414.2