Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Set up an integral that represents the length of …

00:49

Question

Answered step-by-step

Problem 4 Easy Difficulty

Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.

$ y = xe^{-x} $, $ 0 \le x \le 2 $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Harriet O'Brien
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Harriet O'Brien

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 8

Further Applications of Integration

Section 1

Arc Length

Related Topics

Applications of Integration

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Grace He
Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Michael Jacobsen

Idaho State University

Calculus 2 / BC Courses

Lectures

Join Course
Recommended Videos

01:59

Set up an integral that re…

01:43

Set up an integral that re…

01:31

Set up an integral that re…

01:15

Set up an integral that re…

02:14

Set up an integral that re…

00:49

Set up an integral that re…

01:42

Set up an integral that re…

02:47

Set up an integral that re…

01:09

Set up an integral that re…

01:20

Set up an integral that re…

01:57

Set up an integral that re…

01:41

Set up an integral that re…

Watch More Solved Questions in Chapter 8

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46

Video Transcript

so we have to find the length of the curve. Why equals X E to the negative X on the interval? X is greater than or equal to zero, but less than or equal to two. So first we'll find the derivative of why, so that we can plug that into our our clean formula. So that will be our derivative and given the interval, are a will equal zero and bebel equal to radical one. Plus, he'd the negative x minus x times each The negative x squared T X will go to the next page. And the problem asked us to use a calculator. So we'll want to simplify. Um, our expression under the radical A bit, um, so that plugging it into the calculator will be a bit easier. Um, here we can expand the expression under the radical Um, excuse me. Getting X minus one squared times e to the negative to x. So that was plus one under the radical T X. After plugging this into your calculator, you should get around 2.10 to 4

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
142
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
68
Hosted by: Alonso M
See More

Related Topics

Applications of Integration

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Michael Jacobsen

Idaho State University

Recommended Videos

01:59

Set up an integral that represents the length of the curve. Then use your calc…

01:43

Set up an integral that represents the length of the curve. Then use your calc…

01:31

Set up an integral that represents the length of the curve. Then use your calcu…

01:15

Set up an integral that represents the length of the curve. Then use your calcu…

02:14

Set up an integral that represents the length of the curve. Then use your calcu…

00:49

Set up an integral that represents the length of the curve. Then use your calcu…

01:42

Set up an integral that represents the length of the curve. Then use your calcu…

02:47

Set up an integral that represents the length of the curve. Then use your calcu…

01:09

Set up an integral that represents the length of the curve. Then use your calcu…

01:20

Set up an integral that represents the length of the curve. Then use your calc…

01:57

Set up an integral that represents the length of the curve. Then use your calcu…

01:41

Set up an integral that represents the length of the curve. Then use your calcu…
Additional Mathematics Questions

02:20

On the supplied isobaric map five weather stations are indicated with blue c…

02:28

Question 1. A UCF mathematics Professor sampled a function f(x) and the tabl…

03:38

Using the same data, you also decide to estimate how far the object traveled…

01:54

Find each probability using the standard normal distribution: (Round to four…

03:26

(a) Does the quality characteristic seems to follow a normal distribution? ,…

01:53

What is the most possible number of solutions for a system of equations invo…

05:41

Complete parts through for the given function: f(x) = X(-4)on[-44]
The lo…

02:27

Usar la regla del punto medio para aproximar la integral con n=10. Aproximar…

04:17

A vaccine t0 prevent severe virus was given to children within the first yea…

06:02

Solve 3cos" (2) + 2cos(z) + 1 = 0, rounding to 3 decimal places.
The…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started