The population of a

1.The population of a certain state (in thousands) at t years since 1991 is modeled by the polynomial p(t)=-0.24t^2+111t+6766.

a. Find the average growth rate from 1991 to 2001 analytically.
b. Find the instantaneous growth rate in 1997 analytically.
c. Draw an appropriate graph of p'(t) for 0<=t<=10. What does the graph reveal about the population growth in this state?

2. The height of a certain type of tree can be modeled by the function h(b)=5.88+0.65b+0.0057b^2, where b represents the base diameter in centimeters and h is measured in meters.   

a. Find dh/db and draw an appropriate graph below. Include scale and axes labels.
b. Interpret the meaning of dh/db.