A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

How could I go about solving this problem: If x^2+y^2=25 and dy/dt=6, find dx/dt when y=4 and x=3.

  • This Question is Closed
  1. Astrophysics
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[2x \frac{ dx }{ dt } + 2y \frac{ dy }{ dt } = 0\] differentiate both sides wrt to t. Now find dx/dt and plug in the values.

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

    Ohhh okay! Thanks so much! :)

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

    It's implicit differentiation :)

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

    No problem!

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

    Right! I always get confused about the "with respect to..." part xD but I got what you did here! :D

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

    You may have got confused because you may not be used to differentiating with respect to t, which just means x and y are functions of t :)

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

    Ahhh that's true! That makes total sense haha XD

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

    Many thanks! :D

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

    Np :)

  10. 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.