The population, p, of a certain type of rare tree can be modeled by the function p(t)= (112t+50t^2)^1/3, where t is time, in years.

a) Determine the rate of change of the number of trees at t=5 years.
b) When will there be 16 trees? What is the rate of change of trees at this time?

Question

The population, p, of a certain type of rare tree can be modeled by the function p(t)= (112t+50t^2)^1/3, where t is time, in years.

a) Determine the rate of change of the number of trees at t=5 years.
b) When will there be 16 trees? What is the rate of change of trees at this time?

ybarrap · Answer

So for a) you need p'(5). Do you know derivatives?

For b) you need to solve for t where p(t) =16= (112t+50t^2)^1/3

anonymous · Answer

yes I know derivatives 
could you simplify b)?