Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Vaccination coverage Suppose we modify the function in Example 5 by introducing vaccination to control the probability of an outbreak of the disease. We want to know the fraction of the population that we have to vaccinate to achieve a target outbreak probability. If $v$ is the vaccination fraction, then the outbreak probability as a function of $v$ is$$P=1-\frac{1}{R_{0}(1-v)}$$Find the inverse of this function to obtain the vaccination coverage needed for any given target outbreak probability. What do you notice about the inverse function in relation to the original function?

$v=1-\frac{1}{R_{0}(1-P)}$

Calculus 1 / AB

Chapter 1

Functions and Sequences

Section 5

Logarithms; Semilog and Log-Log Plots

Functions

Missouri State University

Campbell University

University of Michigan - Ann Arbor

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

02:00

Find the inverse function …

00:45

If the function is one-to-…

01:53

Discuss whether the functi…

00:30

01:19

The graph represents the p…

00:49

03:18

Why is $P(X=c)=0$ for any …

01:41

05:53

where $q=(1-p)^{\prime},$ …

01:13

Deal with functions of the…

So you have the following model. This is, uh, saying that Ah, yeah. The probably on outbreak is giving orders. The bed's on. How much people You, your minister? There? We're excited on. So Well, uh, probably given I break is given by dysfunction. Thank you. Look, sign your estimation. Fraction that is me looks nation first. So it is that function. This is P B. Great as ah, or what is doing gris. So what is, uh, be embarrassed? So that means But you go that p what mine was or we're not one. Why us? You go, these one p How could you write? Really? So function depending on people, was otherwise that so? It is with that and we sold for B. You want to simplified that? So are you gonna Louisa? We can Ah, don't move there, all of that. Be there. Bye by having that by some striking. So we're gonna get one over are not What might those be is gonna be cool too? One waiters. So what? At this point, you want to in their position so possible that is that by one. So that means that was, does it? That means that are not. That's one might lose me. You have people to one over one minus. But what we Can we go get rid of that? Are not You can divide. We are not. So we'll divide on both sides so that we get what my nose be. Miss you, Kal Toh One over are not one. Why does? Okay, that is a key. Well, at this point, we'll get there more. These one there. So you get Oh, you're gonna get the side b positive on the on the other side We tell him writing down Was it sight with the wand Myers up? So why I'm langlois one over her muds one Mind us so that means, uh or we wantto you wantto rich this much Barbara Lee de off on all big Oh, how many a fraction of the of the vaccination should be achieved on so well. But it is what it is is the English on. So the particular Futural feature of these function is that, uh, you live in. What is being incorporate us was what is B is exactly the same function. No Siddhartha over visa dysfunction. The sequel to chambers with with the function that I'm talking about being ableto Well, we're Please. Here, P forks. So one lying us. What, over consent are not its word. Let's put something buddies and functions at this. Fine, Better The rece function is you say so, uh, like putting that in what graphical towns should be. Fuck somebody's, uh It's a magical, respectful this life. So what? Avery isn't its shape shape. What are these? When you reflect it through these, well, you get the same ship.

View More Answers From This Book

Find Another Textbook

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…

Find the inverse function of the one-to-one functions given.$$p(x)=-\fra…

If the function is one-to-one, find its inverse.$\left\{(-1,3),(0,5),(5,…

Discuss whether the function described has an inverse. Suppose that your bos…

If the function is one-to-one, find its inverse. See Examples 1–3.$$…

The graph represents the probability of two people in the same room sharing …

If the function is one-to-one, find its inverse.$$\left\{(3,-1),(5,0),(0…

Why is $P(X=c)=0$ for any number $c$ in the domain of a probability density …

where $q=(1-p)^{\prime},$ and $p$ is the probability that a susceptible pers…

Deal with functions of the form $f(x)=P e^{k x}$ where $k$ is the continuous…

03:44

28. Find equations of the tangent lines to the curve $y=(\ln x) / x$at t…

01:48

Differentiate the function.$L(\theta)=\frac{\sin \theta}{2}+\frac{c}{\th…

00:37

Differentiate.$g(x)=\frac{3 x-1}{2 x+1}$

03:01

$$\begin{array}{l}{\text { Foraging Many animals forage on resources tha…

03:20

If $g(x)=x^{4}-2,$ find $g^{\prime}(1)$ and use it to find an equation of th…

02:56

Prove that $\frac{d}{d x}(\sec x)=\sec x \tan x$

01:18

Differentiate.$f(\theta)=\frac{\sec \theta}{1+\sec \theta}$

01:00

Find a formula for the inverse of the function.$f(x)=1+\sqrt{2+3 x}$

02:32

Differentiate the function. $$f(x)=\log _{5}\left(x e^{x}\right)$$

01:39

Differentiate the function.$y=\sqrt{x}(x-1)$

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.