Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can be modeled by the following exponential function, where t = 0 corresponds to 2000 and 0≤t≤50. A(t) = 11.25(1.054) (a) Use A to estimate the average rate of change in the population from 2000 to 2014. (b) Estimate the instantaneous rate of change in the population in 2014. (a) What is the expression for the average rate of change? Select the correct answer below and fill in the answer boxes to complete your choice. (Type whole numbers. Use descending order.) O A. lim h→0 B. f(+h)-f() h -f()
Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can be modeled by the following exponential function, where t = 0 corresponds to 2000 and 0≤t≤50. A(t) = 11.25(1.054) (a) Use A to estimate the average rate of change in the population from 2000 to 2014. (b) Estimate the instantaneous rate of change in the population in 2014. (a) What is the expression for the average rate of change? Select the correct answer below and fill in the answer boxes to complete your choice. (Type whole numbers. Use descending order.) O A. lim h→0 B. f(+h)-f() h -f()
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(b) What is the expression for the instantaneous rate of change? Select the correct answer below and fill in the answer boxes to complete your choice.
(Type whole numbers.)
O A. lim
h→0
O B.
f(+h)-f()
h
f()-f()
The instantaneous rate of change is people per year.
(Round to the nearest thousand as needed.)
Transcribed Image Text:Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can be modeled by the following
exponential function, where t = 0 corresponds to 2000 and 0≤t≤50.
A(t) = 11.25(1.054)
(a) Use A to estimate the average rate of change in the population from 2000 to 2014.
(b) Estimate the instantaneous rate of change in the population in 2014.
(a) What is the expression for the average rate of change? Select the correct answer below and fill in the answer boxes to complete your choice.
(Type whole numbers. Use descending order.)
O A. lim
h→0
B.
f(+h)-f()
h
f() -f()
The average rate of change is
(Round to the nearest thousand as needed.)
people per year.
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