Problem 4. The table below gives the height as time passes of a typical pine tree grown for lumber at a managed site.
Tree age (years) 14 21 28 35 42 49
Height (feet) 40 55 63 73 78 84
If H(t) is the height of the tree after t years, answer the following questions:
(a) What are the units of H' = dH/dt?
(b) If H'(65) = 0, what would that mean about the tree in terms of age and height?
(c) Would it make sense for the H' ever to be negative? Explain why or why not.