Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
The table gives the midyear population of Norway, in thousands, from 1960 to 2010.Use a calculator to fit both an exponential function and a logistic function to these data. Graph the data points and both functions, and comment on the accuracy of the models. [Hint: Subtract 3500 from each of the population figures. Then, after obtaining a model from your calculator, add 3500 to get your final model. It might be helpful to choose $ t = 0 $ to correspond to 1960.]
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Carson Merrill
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 2 / BC
Chapter 9
Differential Equations
Section 4
Models for Population Growth
Oregon State University
Harvey Mudd College
University of Nottingham
Idaho State University
Lectures
13:37
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. An ordinary differential equation (ODE) is a differential equation containing one or more derivatives of a function and their rates of change with respect to the function itself; it can be used to model a wide variety of phenomena. Differential equations can be used to describe many phenomena in physics, including sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, quantum mechanics, and general relativity.
33:32
01:45
The table gives the midyea…
01:15
01:12
04:30
The table shows the U.S. p…
01:24
Use the following informat…
02:49
The populations, in thousa…
02:12
U.S. Population The U.S. p…
00:32
The equation $y=281(1.0124…
01:06
because we aren't allowed to show the actual table here. Our goal for this problem is going to be to create a model. So here's what this looks like. We want to first start by um entering data or inputting data. President. Okay, great calculator or Excel. Then you want to select data. Yeah. And create a trend line on trend line. In Excel or aggression line is what it's called the calculator. And then you want to make sure you choose the correct model um um model um form or choose the correct general form. So what I mean by that is going to be it's going to be either a linear form exponential form um Depending on what the problem gives you. And with that form you will obtain the model. And the model is really what we're after. Because once we have the model we can interpret results, predict future outcomes um or determine outcomes of unknown data points. Really that is where modeling becomes a very huge and important aspect within math and science. Um
View More Answers From This Book
Find Another Textbook