Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

rosho

  • one year ago

CalcII how to solve the arc length: a) int{a,b}sqrt(1+16x^4) b) int{a,b}sqrt(1+36cos^2(2x)) ans a)f(x)=+/-4x^3/3+C b)+/-3sin2x+C

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

    @zepdrix @electrokid

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

    do you want to me to draw the equation?

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

    |dw:1363864864886:dw|

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

    start with that problem, i'll draw the second when someone has explained the answer.

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

    Are you sure you entered that correctly..? This is the solution Wolfram is giving, http://www.wolframalpha.com/input/?i=integral+sqrt%281%2B16x%5E4%29dx There must be a mistake somewhere in there.

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

    we are trying to find the arc length. i think.

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

    So find the arclength of this function, \(\large f(x)=\sqrt{1+16x^4}\) From \(\large a\) to \(\large b\) ?

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

    i'll type the text verbatim from the book. what differentiable function have an arc length on the interval [a,b] given by the following integrals?

  9. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh oh oh ok I see what's going on.

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

    okay, that's good because i have no idea.

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

    The formula for arc length is,\[\large \int\limits ds \qquad = \qquad \int\limits \sqrt{1+\color{orangered}{\left(\frac{dy}{dx}\right)^2}}dx\] And we're given this,\[\large \int\limits \sqrt{1+\color{orangered}{16x^4}}dx\]

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

    oh, i get it now... thanks a bunch

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

    Search OpenStudy
    • 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.