Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Andreslvc

  • 2 years ago

HELP! calculate the lenght of the curve: x^(2/3)+y^(2/3)=9 thanks

  • This Question is Open
  1. sankaran.sree
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    71 units...i guess..

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

    Well you need to get the limits first. Are they given? Get your equation into the form y=f(x) then apply the equation \[S= \int\limits_{a}^{b} \sqrt{(1+(dy/dx)^2) } dx\]

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

    Mira, te recomiendo parametrizar tu ecuación de esta forma: x=27cos^3 (t) y=27sin^3(t) si los reemplazas uno con otro obtienes lo mismo ( x ^ (2/3) + y ^ (2/3) = 9) luego aplicas la integral para calcular la longitud \[4*\int\limits_{0}^{\pi/2} \sqrt {(27cos^{3} t)\prime^2+(27sen ^{3}t )\prime^2} dt\] si integras eso te debe salir 162 suerte.

  4. 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.