The graph of a red oak tree is approximated by the function: G = -0.003(t)^3 + 0.137(t)^2 + 0.458t - 0.839

Where G is the height of the tree (in feet) and t (2

Question

The graph of a red oak tree is approximated by the function: G = -0.003(t)^3 + 0.137(t)^2 + 0.458t - 0.839

Where G is the height of the tree (in feet) and t (2 <= t <= 34) is it's age (in years)

Use a graphing utility to graph the function: Extimate the age of the tree when it is growing most rapidly.

anonymous · Answer

$G^\prime(t)$ is the growth rate. You want to find the maximum of this function. The maximum occurs when the derivative of this function is zero, i.e. when $\frac{dG^\prime}{dt}=0$. In other words, when $G^{\prime\prime}(t)=0.$

anonymous · Answer

means tht G"(t)=0 is the age? wht about the max height? i think it was G'(t)=0.. is it??