Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ksaimouli

  • 2 years ago

find the arc lenght x=(y^3/3)((x^2)+2)^3/2 from x=0 to x=3

  • This Question is Closed
  1. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepdrix

  2. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[x=\frac{ y^3 }{ 6 }+\frac{ 1 }{ 2y }\]

  3. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ dx}{ dy }=\frac{ y^2 }{ 2 }-\frac{ 1 }{ y^2}\]

  4. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int\limits_{1}^{2}\sqrt{1+((\frac{ y^2 }{ 2 })-\frac{ 1 }{ y^2 })^2} dy\]

  5. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Woops the 2 should still be there on the second term. A -1 came down from the power rule.

  6. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    u mean for 1/2y

  7. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ya

  8. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The problem at the very top seems to be different than the one you formatted below it, I'm confused..

  9. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    when i take derivative using quotient rule i got -1/2y^2

  10. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes that's the correct derivative. Don't use quotient rule, easier to use power rule.\[\large \left(\frac{1}{2y}\right)'\quad = \quad \left(\frac{1}{2}y^{-1}\right)' \quad = \quad -\frac{1}{2}y^{-2}\]

  11. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you have 2 separate problems listed? This is rather confusing....

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.