vaccination-coverage-suppose-we-modify-the-function-in-example-5-by-introducing-vaccination-to-contr

Question

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?

Carlos Pinilla · Accepted Answer

So you have the following model. This is, uh, saying that Ah, yeah. The probably on outbreak is giving orders. The bed&#x27;s on. How much people You, your minister? There? We&#x27;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&#x27;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&#x27;t move there, all of that. Be there. Bye by having that by some striking. So we&#x27;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&#x27;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&#x27;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&#x27;ll get there more. These one there. So you get Oh, you&#x27;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&#x27;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&#x27;m talking about being ableto Well, we&#x27;re Please. Here, P forks. So one lying us. What, over consent are not its word. Let&#x27;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&#x27;s, uh It&#x27;s a magical, respectful this life. So what? Avery isn&#x27;t its shape shape. What are these? When you reflect it through these, well, you get the same ship.

Rachel Mcbride · Answer

All right, So we&#x27;re going to take the inverse of the given function. So that becomes X equals negative 4/5 p inverse of x. And then we saw for P in verse. So to solve, you&#x27;re gonna multiply both sides by the reciprocal. So we&#x27;re gonna multiplied by negative 5/4. So we get that P inverse of X is equal to negative 5/4 x And then we were asked to compare three test points. So we&#x27;re gonna dio is look at p of zero, which is zero. So we look at p inverse of zero and see, that&#x27;s also zero. Maybe we look at p of negative five, so they get negative 4/5 times. Negative five. So negatives Cancel five. Cancel and you get four. So we&#x27;ll get p inverse of four. So you get negative 5/4 times four for his cancel, and you get negative five. So we see that the original point its range becomes the domain of the inverse. Let&#x27;s do one more. Let&#x27;s look at p of positive five. So you get negative for fists, times positive five and we get negative for so look at p inverse of negative for so they get negative. 5/4 comes negative for, and that gives a positive five

Melissa Salvador · Answer

Okay, so what? We want todo cae If what we have here, um, it&#x27;s a 1 to 1 function. So first thing we want to dio it&#x27;s check the wise. Okay, so you have a three. A 580 in a negative 1/2. So we have different. Why? So therefore, this is a 1 to 1 function. Now let&#x27;s try to find the embers. The embers is just switching the wife or the X and the extra. Otherwise, it would be three inundated one and you have five in Sierra, they have seer and five, and then we have negative 1/2 7 and so those are gonna be your answers.

Victoria Dollar · Answer

Okay, So for this problem, we&#x27;re discussing that you work for an employer and you get a 10% increase in raise. And then all of a sudden, later on, you find out you get a 10% dick decrease, and they want to show that it&#x27;s not going to be the original salary. So let&#x27;s say we have ffx be a function as faras the income and let&#x27;s say we start off making X amount of money. So when we get a 10% raise, this is now going to become so it&#x27;s gonna be this amount plus 10%. So in other words, it&#x27;s gonna be 1.1 x Okay, So if we want to show, there&#x27;s actually two different ways to show this so then if I want to decrease by 10% now, what I&#x27;m going to dio is I&#x27;m just going to simply multiply this by 0.9 because I&#x27;m actually now going to get 9/10 instead of 10 tents of what I had. So when we do this, we actually show that this is 0.99 x. So this is not, um, one X Okay, So another way to do this is to look at this particular, um, functions. I must say F FX equals 1.1 X. And what I&#x27;m going to do is I&#x27;m going to find the inverse. I&#x27;m going to say why equals 1.1 X switch y in X. So this is now going to be X equals 1.1. Why? So now why is going to be X over 1.1? And so, whenever you dio one divided by 1.1, you get 0.9090 etcetera, etcetera X. Okay, so this is obviously not the same. So if you get a 10% increase and also get a 10% decrease, you&#x27;re actually not getting your

Katelyn Chen · Answer

for this question were given a fallen Siris of points only asked a final invert. So another in versus when we just Flipper accident wife Elliott&#x27;s So I will get us three Negative one five Sarah zero five Neither. 1/2 seven.

Vishal Parmar · Answer

So this is a question number 65. First, we need to determine that the function has any interest function or not. For that, we need to use the horizontal line test. Right? The horizontal lines intersect. A graph at more than one point, then function has a note in your function. Right, So less floor horizontal line first. So as we can see here, horizontal and intersecting graph at only one point Right over here. So we can set that D function has any interest function that is also function right? So a nurse function is exist night? No, pardon me. That is to describe, in practical terms the meaning off after universe off zero point fire. Right. So here, if in yourself, 0.5 or they&#x27;ve been worse off here, about 25 sauce the number of person in room If the probability that two people said the same birthday is syrup on 25 right. Similarly, after Norse off 0.5 sauce, The number of person in a room. If the probability that two people served same birthday, he&#x27;s 20.5, right? Thank you

Problem

(a) How is the logarithmic function $y=\log _{b} …

Problem 32 Medium Difficulty

Answer

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

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James Stewart

Biocalculus Calculus for the Life Sciences

Catherine R.

Anna Marie V.

Kristen K.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

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

Biocalculus Calculus for the Life Sciences

Catherine R.

Anna Marie V.

Kristen K.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

James StewartBiocalculus Calculus for the Life Sciences

Catherine R.

Anna Marie V.

Kristen K.

Michael J.

James Stewart

Biocalculus Calculus for the Life Sciences