Chapter 4.3, Problem 40E

Heights of a Plant The length of a certain weed, in centimeters, after $t$ weeks is

$f\left(x\right)=\frac{6}{.2+5e^{-0.5t}}$.

Answer the following questions by reading the graph in Fig. 3.

a. How fast is the weed growing after $10$ weeks ?

b. When is the weed $10$ centimeters long ?

c. When is the weed growing at the rate of $2\text{cm/week}$?

d. What is the maximum rate of growth ?