Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

YUNoWorkOS Group Title

Find the volume of the solid of revolution generated by revolving the equation \(y=\sqrt(x)\) about the line x=4 (The region is bounded by the x axis and x=4)

  • one year ago
  • one year ago

  • This Question is Open
  1. inkyvoyd Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I understand if I rewrite the equation as y=\(\sqrt{x-4}\) then integrate with appropriate bounds it will work, but there is some sort of alternate interpretation I am not understanding.

    • one year ago
  2. inkyvoyd Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    *rewrite the equation as y=\(\sqrt{x+4}\)

    • one year ago
  3. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1365190324765:dw| \[\int 2\pi ~r~h\]

    • one year ago
  4. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    r = c-x, h = sqrt(x), and dx from 0 to c

    • one year ago
  5. YUNoWorkOS Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    omg thank you - that applies for shell method as well correct?

    • one year ago
  6. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    that IS the shell method :)

    • one year ago
  7. YUNoWorkOS Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    oh shoot - is there any way to do thi with the disk method?

    • one year ago
  8. YUNoWorkOS Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    this problem is listed in the disk method section of my textbook, but i'm not sure how it's done...

    • one year ago
  9. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\int~2\pi r\] \[r=g(y)\text{ ; which is the inverse of f(x)}\]and dy from 0 to f(c)

    • one year ago
  10. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    inverse of y = sqrt(x); x = y^2

    • one year ago
  11. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    inky suggests that we move the graph to something simpler to play with; shift if left by "c" units given us y = sqrt(x+c) r = x = sqrt(y) - c

    • one year ago
  12. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    r = x = y^2 - c :)

    • one year ago
  13. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    the only issue that may present itself with that setup tho is that you get a negative summation

    • one year ago
  14. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    why did i do 2pi r? thats circumference :/ .... area is \[\int pi r^2\]

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.