Question

the population of the world in billions of people can be modeled by the function f(t) = 5.3(1.018)^t where t is years since 1990 find f(0) and f'(0) find f(30) and f'(30) using units explain what each answer tells you about the population of the world

Answer 1

f(0) = 5.3 billions
f'(t) = 5.3 ln (1.018) (1.018) ^t
= .095 * (1.018) ^t
=> f'(0) = .095 billions
f(30) = 5.3 ( 1.018) ^30 = 9.05 billions
f'(30) = 5.3 ln (1.018) (1.018) ^30 = .16 billions
The population keeps growing with the rate of .16 billion for 30 years.

Answer 2

THANK YOU!!!!

Answer 3

Do you have any question?

Answer 4

I think that covered it... I had to think about it for a minute but I got it... I have a guestion about something else if you
don't mind

Answer 5

Estimate f'(2) for f(x) =3^x ... explain reasoning