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

Use the result of Exercise 33 to set up an integr…

01:00

Question

Answered step-by-step

Problem 33 Medium Difficulty

If the curve $ y = f(x) $, $ a \le x \le b $, is rotated about the horizontal line $ y = c $, where $ f(x) \le c $, find a formula for the area of the resulting surface.


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Amrita Bhasin
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Amrita Bhasin

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 2

Area of a Surface of Revolution

Related Topics

Applications of Integration

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Heather Zimmers

Oregon State University

Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

Calculus 2 / BC Courses

Lectures

Join Course
Recommended Videos

04:42

If the curve $y=f(x), a \l…

03:32

If the curve $y=f(x), a \l…

07:44

Let $ L $ be the length of…

03:00

Let $L$ be the length of t…

03:24

Let $L$ be the length of t…

01:45

Assume that $y=f(x)$ is a …

02:43

Graph of $y=f(x)$, for $a …

03:22

Let $L$ be the 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

Video Transcript

this question asked us to find a formula for the area of the resulting surface. What we know we're gonna be looking at is the fact that we have two times the distance from the line times, the ark function times, DEA ex. Obviously, we always under into girls with DX. So our bounds we could just, you know what? These is a to B to pie. This is a given when we're writing the integral out, we know we have C minus half of acts. The reason why because we're looking at the distance from why equals C of any point X comma after Vex, you can consider f of X to essentially be or why, But in this context we're using a fullback because we're writing this in terms of X. Then we know this is gonna be multiplied by one plus driven of, and the derivative under the square root is squared. And as I said, you always end this India vax

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
192
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
82
Hosted by: Alonso M
See More

Related Topics

Applications of Integration

Top Calculus 2 / BC Educators
Heather Zimmers

Oregon State University

Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

Recommended Videos

04:42

If the curve $y=f(x), a \leqslant x \leqslant b,$ is rotated about the horizon…

03:32

If the curve $y=f(x), a \leqslant x \leqslant b,$ is rotated about the horizon-…

07:44

Let $ L $ be the length of the curve $ y = f(x) $ , $ a \le x \le b $, where $ …

03:00

Let $L$ be the length of the curve $y=f(x), a \leqslant x \leqslant b$ where $f…

03:24

Let $L$ be the length of the curve $y=f(x), a \leqslant x \leqslant b$, where $…

01:45

Assume that $y=f(x)$ is a smooth curve on the interval $[a, b]$ and assume that…

02:43

Graph of $y=f(x)$, for $a \leq x \leq b$, is rotated about the y-axis. In this …

03:22

Let $L$ be the length of the curve $y=f(x), a \leqslant x \leqslant b,$ where …
Additional Mathematics Questions

03:18

The diagram was constructed with straightedge and compass tools. Points 4,B,…

01:13

The dimensions of a rectangle with an area of 56 square meters are (3x 1) me…

03:05

Given that the coordinate of the points A and B are (-3, 2) and (1,-6) respe…

01:24

Given the circle below with secant SRQ and tangent PQ,find the length of SR …

03:42

Follow the steps to find the area of the shaded region. Now use the formula …

01:35

Find the value of n in pentagon PQRST
Answer:
Submit Answer

01:14

Find the measure of the reflex angle; B
52
B = [?]9
Enter

02:12

Geometry
Q.1 Pythagorean theorem F55
Rita iS playing on the slide: Ove…

01:45

Given that a = 16 cm and b = 17 cm; work out the area of the triangle
The…

03:25

Function A: x2 a) Complete the table of values for function A_
Here is a …

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