TREE GROWTH The growth of a red oak tree is approximated by the function where is the
Chapter 3, Problem 103(choose chapter or problem)
TREE GROWTH The growth of a red oak tree is approximated by the function where is the height of the tree (in feet) and is its age (in years). (a) Use a graphing utility to graph the function. (Hint: Use a viewing window in which and (b) Estimate the age of the tree when it is growing most rapidly. This point is called the point of diminishing returns because the increase in size will be less with each additional year. (c) Using calculus, the point of diminishing returns can also be found by finding the vertex of the parabola given by Find the vertex of this parabola. (d) Compare your results from parts (b) and (c).
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