Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jocelynevsq

  • one year ago

find the region bounded by the graph of y^2=x^2-x^4

  • This Question is Closed
  1. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what does your graph look like?

  2. jocelynevsq
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1359922854861:dw|

  3. jocelynevsq
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i'm not sure

  4. jocelynevsq
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait nevermind it's not that

  5. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1359922919356:dw| thats what i was thinking it was like

  6. jocelynevsq
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  7. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then the only pertinent equations are: x^2-x^4 and y=-sqrt(x)

  8. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    they meet at x=0, and what is the other x value?

  9. jocelynevsq
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't know

  10. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -sqrt(x) = x^2 - x^4 0 = x^2 -sqrt(x) -x^4 that does seem a bit convoluted :/

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

    Here's the graph:

    1 Attachment
  12. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmmm, that is one representation i can see of it :)

  13. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so if thats the case, would changing it to parametric form help out?

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

    I'd: Write y as function of x: y=xsqrt(1-x²) Integrate using u=1-x² Multiply by 4, because of the symmetry...

  15. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sounds crazy enough to work :)

  16. jocelynevsq
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what do I multiply by 4?

  17. ZeHanz
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    If you integrate as I did, you only get the area between the positive x-axis and the graph (upper right part of the whole thing) There a 4 such areas, so multiply by 4.

  18. jocelynevsq
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh okay thanks

  19. ZeHanz
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I've got to 8/3, hope this helps ;)

  20. jocelynevsq
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks!

  21. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.