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

Use Newton's Method (Section 4.7), where needed, to approximate the $x$ -coordinates of the intersections of the curves to at least four decimal places, and then use those approximationsto approximate the area of the region.

$$\text { The region enclosed by the graphs of } y=(\ln x) / x \text { and }$$

0.4814,2.3639,1.1897

Calculus 1 / AB

Calculus 2 / BC

Chapter 6

APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY, SCIENCE, AND ENGINEERING

Section 1

Area Between Two Curves

Integrals

Integration

Applications of Integration

Area Between Curves

Volume

Arc Length and Surface Area

Missouri State University

Campbell University

Harvey Mudd College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

13:50

Use a graph to find approx…

02:24

02:30

Use any method (including…

01:24

Graph the region between t…

05:05

05:12

01:23

05:54

01:54

Use a graphing utility, wh…

01:57

running. Uh, we trying to solve a problem than 11 under chancellor six application of Inter Cross. And we also looking at the areas between two kids. Okay, firstly, I'm going to switch Thio the white wood. So the question is divided into two parts. The first part. We are looking for the point of intersection off two kids. So I'm assuming that you have friend Ah, question the next part. We want to approve meet area off the region by bonded by two years. So let's start with the part. But they okay, so what a we want to solve? So you want to solve simultaneously? You too inquisitions. Okay, just theories. Okay. We want to solve Metin your ex. Okay, since if you go back to the questions we want Thio approves meet X coordinate and also find the approximate area off region only by the two killers. So the fist kim is why you closed two x science experiment and wipe those extra before. So the quickest way of doing this to approximate is too brought to bloody function. I've really done so using this website. So all you need to do is just to enter the function. So why does too eggs? And in times of sign off x wing is will give you the fist gruff. So that's will be read craft. And then why house Excellent before will be the blue Ashcroft. Okay, now, when we solve for X simultaneously firstly, we wait two kids So effort X equals to geo fix. So if it thinks we can see that's the function of X sign, expect and g o fix is the function of X to the poor for so now all you need to do is to take out to bring the form on the other side. So you bring the four to the other side. Oh, you can take the X sign X square to the outside. Okay, just take X sign. Expected out of sight. We're going to have ex trip off minus thanks. Thanks, sweetie. Remember X sign X way was posted. You take it to the other side to be negative. So what is left on the left inside from the previous step is zero. Now take out the common fiction. So the common factor here will be X. What we're left with inside our kids, we have X Cube. Because if you divide X to the buffalo by execute excuse divide exciting square by ex weekends because you sign X squared. And this isn't close to zero. Provided that X It's not serious we can to disturb if X is not so okay, so no. From this x equals zero ordered him inside. Burkett supposed to zoom. So the situation here is X equals zero X cubed minus. Sign Exley, because zero. Okay, no, if we look it, Uh, okay. Now, if we look for export zero, we have extra classes and an X cubed minus sign. Extreme. Because it if you want to find an exit here, you can use new transmittal. So basically, you can set this to everything's, but we are now. We're not going to go to new transmitter. I'm just going to go straight to the car off and show you how to kids the next exit. So this is the graph. We got to the point way we had exoticism. So, of course, if you take X equals zero and substitute to any off two functions, you should get why he crosses, um, and those two functions. They also meet at this point. So exited a 0.896 And why? Video is little 0.6445 But you're looking at the experience. So fx a considerable. Now that X is 0.896 So we we have to be already. So the eggs videos are ex across Israel and the other one is 0.896 But just for interesting, we can take more decimals. So depending on which software using, we can take more dismal. So eggs very here, using neutrons method any other metal. So just pick it from the craft. We get extra pills, too. Zero point AIDS. Nine five 9931 price. Okay, so now I'm going to go through the next page on do the second part off off the problem. So the first part was to find the X squad mate. Second qualities to find Aaron, which is probably by two kids. Some games for you. Good for your patient. And this is part of being it sees. Just erase. This is part. Okay, so maybe we're looking for the area. Okay? I didn't just see the area. So this is the area off the region, which is bonded by the two kids. Okay, so going back to our two kills So that area will be between X equals zero X equals 0.896 food. We have something like this. I'll just pick that ricin on. So if what to functions. So you could lose two points for this point in the point looking at the exhibitors. So x 12 x two. Okay, so they get it between those two functions. Let's call it a So call this area A This case is close to the inter grow between the two eggs. Various said our first things with zero and Arun is it? Open it. Nice food. Zero. I'll take all the dismal so little point 8959931 by one. So that becomes the graph above minus the craft below. That's cool. So the graph above is the Red Cross and the Red Cross is recruitment by X sign. Extreme and the craft below is the Blue Cross, which is extra powerful. So this means we're going to have X sign X squared minus X to the poor fool. I didn't think so. It's agreed to two eggs. Okay, so we can separate the twins across. So a it close to the integral between zero and 0.89 by mine. Nine. Big one, which is thinks line. Expect D X minus other rays x to the bone. It's also between zero and 0.89 by 9931 by four A. So, looking at it this integral easy to evaluate. So listens. A crowd becomes extra Ball five divided by five We evaluated between zero and 0.89599314 In order to do this assumption that the video on top which is this one minus that really blew. Is that okay? Just move on to the next page so that I can eat this crap. Okay, so we're looking at the crow off eggs sign extreme. So Interco off eggs explain DX So here we can use Remember our limits given in terms of experience, we can use the u substitution, change the limit, or we can just use the use substation substituted, expect and we have a lead. The limits. So this dude Ah, second option. So firstly, let's, uh, not to let you to be extreme. You to be expecting me. Just always, huh? So are you. Because you expect so many different sheets, do you? The X will give us two eggs, and then he must have made deals on the other side to Xbox. Then we can divide by two. Well, the saints. So if you divide by two, you have to you over to then substitutes for you the integral. Now we have extra Lex and his steaks. Phoenix So again tive minutes ago, we'll sign. Explain close to you. Do you know how integral is in terms off you won? We can evaluate in scrub and then substitutes the limits. If you have only Dane's club, you get millions here. One of two cause you between zero and eight, 9599315 Know firstly, substitutes that limits on top minus. Admit if you do, then you should Kids, huh? Zero coin zero. Uh, okay. It's just different book in circles. Remember, we have an excellent into grow from here. Which is the second is Girl X executing ball 545 and then follow it using those two elements. So if you end up going to this function. We should end up with zero point. We should end the weed. Zittel Plane Zero. Who? So that's gonna be Oh, fine. Alonso. Oh, you okay? Uh, that's the end of the question. Uh, thank you.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Use a graph to find approximate $x$ -coordinates of the points of intersecti…

Use a graph to find approximate x-coordinates of the points of intersection …

Use any method (including geometry) to find the area of the following regio…

Graph the region between the curves and use your calculator to compute the a…

Use a graphing utility, where helpful, to find the area of the region enclos…

02:06

Suppose that a particle moves along a line so that its velocity $v$ at time …

04:12

(a) If $h^{\prime}(t)$ is the rate of change of a child's height measur…

01:01

For the given velocity function $v(t):$(a) Generate the velocity versus …

01:38

These exercises assume familiarity with the basic concepts of parametric cur…

02:41

Use a CAS to find the area enclosed by $y=3-2 x$ and$y=x^{6}+2 x^{5}-3 x…

01:50

True-False Determine whether the statement is true or false. Explain your an…

02:26

Use a CAS to find the exact area enclosed by the curves$y=x^{5}-2 x^{3}-…

04:13

A function $f(x)$ is defined piecewise on an interval. In these exercises: (…

01:05

01:10

Determine whether the equation is true or false. Explain your answer.$$<…

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.