In an attempt to predict the growth of the population of the U.S. biologist studied census records from 1780 through 1940. They developed the logistic formula N= 182/1+66,7e^-0.03t Here N is the U.S population in millions and t is time (measured in years since 1780) a- What is the carrying capacity for the population?  b- at what population is the fastest growth? describe where the fastest growth occurs on a logistic models graph.

In an attempt to predict the growth of the population of the U.S. biologist studied census records from 1780 through 1940. They developed the logistic formula

N= 182/1+66,7e^-0.03t

Here N is the U.S population in millions and t is time (measured in years since 1780)

a- What is the carrying capacity for the population? 

b- at what population is the fastest growth? describe where the fastest growth occurs on a logistic models graph. 

c- How fast must the wind blow in order to generate 38 watts of power? round two decimal places.

d- If wind speed increases by a factor of 4, how much power is generated? round two decimal places.

e- if the power increases by a factor of 2, how much more wind speed must there be? round to two decimal places.