💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

In Section 1.4 we modeled the world population from 1900 to 2010 with the exponential function$$P(t)=(1436.53) \cdot(1.01395)^{t}$$where $t=0$ corresponds to the year 1900 and $P(t)$ is measured in millions. According to this model, what was the rate of increase of world population in $1920 ?$ In $1950 ?$ In $2000 ?$

in 1920 is $26.3 ; 1950$ is $39.78 ; 2000$ is 79.52

00:45

Frank L.

01:23

Heather Z.

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 4

The Chain Rule

Derivatives

Differentiation

Baylor University

University of Nottingham

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

02:23

World population growth In…

04:50

The world population in bi…

03:01

In Section 10.4, Exercise …

02:00

A Population Model The pop…

The table gives the popula…

01:43

The population $p(t)$ (in …

01:22

World population is approx…

0:00

Population growth of the U…

04:34

The population of Indonesi…

uh huh. In this problem we are given the population team and millions of the function of two years, 20 0, 1900 has given us P. T equals 14 36 or 1436.58 and 1.1395 inches the parrot to We want to find the rate of change of p in 1920 19 52,000. As a note given here where the Astros indicates, we're going to use differentiation with the chain rule to find the derivative or rate of change of the population of 13 to 15. So different changes in the chain will gives us P prime T. That is the rate of change DPD teen as d b u d s b u L n d d D X. Because this is an exponential function. Thus we have G p t equals 14 36.53 times. Bu bu 1.1395 T. And l n b f l n 1.1395 times the u d x already Dutt, which is 51. Thus, we have DPT in 1920 19 52,000. By funding in t v equals 20 5100 as the numbers given here.

Numerade Educator

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

World population growth In Example 1.4 .3 we modeled the world population fr…

The world population in billions is predicted to be approximately $P=7.1 e^{…

In Section 10.4, Exercise 47, the growth in world population (in millions) w…

A Population Model The population of the world in 2014 was 7.14 billion peop…

The table gives the population of the world $ P(t), $ in millions, where $ t…

The population $p(t)$ (in millions) of the United States $t$ years after the…

World population is approximately $P=6.4(1.0126)^{t}$ with $\bar{P}$ in bill…

Population growth of the United States Suppose $p(t)$ represents the populat…

The population of Indonesia from 1950 to 2000 has been modeled with the func…