The table gives the U.S. population to the nearest million for selected years from 1950 and projected to 2050. (a) Find
Posted: Thu May 12, 2022 9:39 am
The table gives the U.S. population to the nearest million for
selected years from 1950 and projected to 2050.
(a) Find a cubic function P(t) that
models these data, where P is the U.S.
population in millions and t is the number of
years past 1950. Report the model with three significant digit
coefficients.
P(t) =
(b) Use the part (a) result to find the function that models the
instantaneous rate of change of the U.S. population. Report this
model with three significant digit coefficients.
P'(t) =
(c) Find the instantaneous rates of change in 2000 and 2025. (Round
your answers to two decimal places.)
selected years from 1950 and projected to 2050.
(a) Find a cubic function P(t) that
models these data, where P is the U.S.
population in millions and t is the number of
years past 1950. Report the model with three significant digit
coefficients.
P(t) =
(b) Use the part (a) result to find the function that models the
instantaneous rate of change of the U.S. population. Report this
model with three significant digit coefficients.
P'(t) =
(c) Find the instantaneous rates of change in 2000 and 2025. (Round
your answers to two decimal places.)