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

Find the exact length of the curve. $ y = \sqr…

03:45

Question

Answered step-by-step

Problem 17 Hard Difficulty

Find the exact length of the curve.

$ y = \frac{1}{4} x^2 - \frac{1}{2} \ln x $ , $ 1 \le x \le 2 $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Clarissa Noh
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Clarissa Noh

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
Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 2 / BC Courses

Lectures

Join Course
Recommended Videos

04:37

Find the exact length of t…

04:53

Find the exact length of t…

03:13

Find the exact length of t…

06:02

Find the exact length of t…

09:50

Find the length of the cur…

02:42

Find the length of the cur…

07:02

Find the exact length of t…

08:12

Find the exact length of t…

05:25

Find the exact length of t…

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

it's clear is that when you read here, So we have why is equal to 14 X square minus one have well on offense access between one and two included. And we're trying to find a link. We're gonna first take the derivative and we get 1/2 acts minus one over to X, and we're gonna plug it into our equation. Our art length formula We get square of one plus 1/2 of us minus one over to X where, Deitz. And we see that when we factor this out. This part only you get next square over. Four minus one have plus one over four X square and we're going Thio add one, which comes from here on DS equals one Have plus X squared over four plus one over four. Explain. We could factor out a 14 So 14 next square plus two close one over. X quay. When this becomes this part becomes X plus one over X square. Now we're gonna plug it back in to our link formula. That's a plus one over X square, D x. This is equal to 1/2 from 1 to 2 x plus one over X d x. And when we saw this out, you get three. Fourth was 1/2. Oh, um, have to

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
126
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
62
Hosted by: Alonso M
See More

Related Topics

Applications of Integration

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Recommended Videos

04:37

Find the exact length of the curve. $$y=\frac{1}{4} x^{2}-\frac{1}{2} \ln x, \…

04:53

Find the exact length of the curve. $$y=\frac{1}{4} x^{2}-\frac{1}{2} \ln x, \…

03:13

Find the exact length of the curve. $ y = \ln (1 - x^2) $ , $ 0 \le x \le \f…

06:02

Find the exact length of the curve. $$y=\ln \left(1-x^{2}\right), \quad 0 \leq…

09:50

Find the length of the curve $$y=\ln \left(1-x^{2}\right), 0 \leq x \leq \frac{…

02:42

Find the length of the curve $y=x^{2} / 4-\ln \sqrt{x}$ $1 \leq x \leq 2$.

07:02

Find the exact length of the curve. $ y = 1 - e^{-x} $ , $ 0 \le x \le 2 $

08:12

Find the exact length of the curve. $$y=1-e^{-x}, \quad 0 \leqslant x \leqslan…

05:25

Find the exact length of the curve. x = y^4/8 + 1/4y^2, 1 ≤ y ≤ 2
Additional Mathematics Questions

04:00


Find the maximum and minimum values of the function g(0) 40 6…

02:03


The letters in the word ARIZONA are scrambled:. Write your an…

03:29

point)
For the function g whose graph is given, state the follow…

02:17

An object is thrown. t seconds after it is thrown, its height is given by h(…

03:23

Find the explicit particular solution of the differential equation for the i…

02:45

point)
Use the formula for the sum of a geometric series to fin…

02:23

please show all correct work
A plant grows [.67 cm in its first week: Ea…

01:04

Only the answer please. No explanation

A sample of 30 ordered …

03:42

Please answer with full solution: will like thank you
Find the F…

02:00

please show all work including the desmos graphs:)
A biologist predicted …

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