Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

katzndogs

  • 2 years ago

I'm on exam 4, question 5 b) and asked to set-up an integral for arclength along a curve. I don't understand how the answer parametrizes the curve though without any initial conditions, here's the link: http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/unit-4-techniques-of-integration/exam-4/session-86-materials-for-exam-4/MIT18_01SCF10_exam4sol.pdf

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

    I instead found arclength in with respect to y since the x was given as a function of x but I m sure looking through my notes there whenever asked to parametrize initial conditions for t were provided. So any one out there with any idea could you be so kind to help. Thankyou!

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

    *x was given as a function of y

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

    The initial condition is implicit in the choice t=y. We could have made the choice s=y-1, which would have given x=s+1+(s+1)^3. We would need to change the limits of integration s=0 and s=3 (the values corresponding to y=1 and y=4). So we would integrate a slightly different function over different limits, leading to the same arc length. It's a matter of choice and if you try anything else you'll see how t=y leads to the simplest result.

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

    I understand now! Thanks so much man for that great explanation! :)

  5. 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.