Homework Help is Here – Start Your Trial Now!
Math
Calculus
The table gives the U.S. population to the nearest million for selected years from 1950 and projected to 2050. Year Total Year Total 1950 160 2010 315 1960 190 2015 328 1970 215 2020 343 1980 235 2030 370 1990 260 2040 391 2000 288 2050 409 (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. R three significant digit coefficients. P(t) = || Va o! (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 wit digit coefficients. P'(t) = (c) Find the instantaneous rates of change in 2000 and 2025. (Round your answers to two decimal places.) 2000 2025 Interpret these rates. O In 2051, the U.S. population will rise by about P'(50) million people. In 2076, the U.S. population will rise by about P'(75) million people. In 2001, the U.S. population will rise by about P'(50) people. In 2026, the U.S. population will rise by about P'(75) people. In 2001, the U.S. population will rise by about P'(75) people. In 2026, the U.S. population will rise by about P'(50) people. In 2001, the U.S. population will rise by about P'(75) million people. In 2026, the U.S. population will rise by about P'(50) million people. In 2001, the U.S. population will rise by about P'(50) million people. In 2026, the U.S. population will rise by about P'(75) million people. +

The table gives the U.S. population to the nearest million for selected years from 1950 and projected to 2050. Year Total Year Total 1950 160 2010 315 1960 190 2015 328 1970 215 2020 343 1980 235 2030 370 1990 260 2040 391 2000 288 2050 409 (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. R three significant digit coefficients. P(t) = || Va o! (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 wit digit coefficients. P'(t) = (c) Find the instantaneous rates of change in 2000 and 2025. (Round your answers to two decimal places.) 2000 2025 Interpret these rates. O In 2051, the U.S. population will rise by about P'(50) million people. In 2076, the U.S. population will rise by about P'(75) million people. In 2001, the U.S. population will rise by about P'(50) people. In 2026, the U.S. population will rise by about P'(75) people. In 2001, the U.S. population will rise by about P'(75) people. In 2026, the U.S. population will rise by about P'(50) people. In 2001, the U.S. population will rise by about P'(75) million people. In 2026, the U.S. population will rise by about P'(50) million people. In 2001, the U.S. population will rise by about P'(50) million people. In 2026, the U.S. population will rise by about P'(75) million people. +

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

Explanation all subparts is correctly

The table gives the U.S. population to the nearest million for selected years from 1950 and projected to 2050. Year Total Year Total 1950 160 2010 315 1960 190 2015 328 1970 215 2020 343 1980 235 2030 370 calcPad 1990 260 2040 391 Operations 2000 288 2050 409 Functions (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. R Symbols three significant digit coefficients. Relations P(t) = || Sets VO o! Vectors (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 wit Trig digit coefficients. Greek P'(t) = O Help (c) Find the instantaneous rates of change in 2000 and 2025. (Round your answers to two decimal places.) 2000 2025 Interpret these rates. O In 2051, the U.S. population will rise by about P'(50) million people. In 2076, the U.S. population will rise by about P'(75) million people. In 2001, the U.S. population will rise by about P'(50) people. In 2026, the U.S. population will rise by about P'(75) people. O In 2001, the U.S. population will rise by about P'(75) people. In 2026, the U.S. population will rise by about P'(50) people. O In 2001, the U.S. population will rise by about P'(75) million people. In 2026, the U.S. population will rise by about P'(50) million people. In 2001, the U.S. population will rise by about P'(50) million people. In 2026, the U.S. population will rise by about P'(75) million people.
Transcribed Image Text:The table gives the U.S. population to the nearest million for selected years from 1950 and projected to 2050. Year Total Year Total 1950 160 2010 315 1960 190 2015 328 1970 215 2020 343 1980 235 2030 370 calcPad 1990 260 2040 391 Operations 2000 288 2050 409 Functions (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. R Symbols three significant digit coefficients. Relations P(t) = || Sets VO o! Vectors (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 wit Trig digit coefficients. Greek P'(t) = O Help (c) Find the instantaneous rates of change in 2000 and 2025. (Round your answers to two decimal places.) 2000 2025 Interpret these rates. O In 2051, the U.S. population will rise by about P'(50) million people. In 2076, the U.S. population will rise by about P'(75) million people. In 2001, the U.S. population will rise by about P'(50) people. In 2026, the U.S. population will rise by about P'(75) people. O In 2001, the U.S. population will rise by about P'(75) people. In 2026, the U.S. population will rise by about P'(50) people. O In 2001, the U.S. population will rise by about P'(75) million people. In 2026, the U.S. population will rise by about P'(50) million people. In 2001, the U.S. population will rise by about P'(50) million people. In 2026, the U.S. population will rise by about P'(75) million people.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS