A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

a point moves on the parabola y^2=8 in such a way that the rate of change of the ordinate is always 5 units/second. how fast is the abscissa changing when the ordinate is 4?

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

    Thanks you for showing up D:

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

    shouldnt there be an x term in the parabola?

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

    Oh yea

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

    so in general what you should do is differentiate the equation wrt to time. For example if the equation is \(x = f(y)\) \[\frac {dx}{dt} = \frac{df(y)}{dt}\] which further can be represented as, \[\frac{dx}{dt} = \frac{df(y)}{dy}\frac{dy}{dt}\] so when \(y=4\) find the \(\frac{dx}{dt}\) \[\left[\frac{dx}{dt} \right]_{y=4} = \left[\frac{df(y)}{dy}\right]_{y=4} \left[\frac{dy}{dt}\right]_{y=4} \]

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

    okay, so I have to find that?

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

    yeah find the values of the expressions in the r.h.s

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

    kk one second

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

    \[ \frac{ ds }{ dt }=5?\]

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

    but according to your given problem, the question itself contradicts. since it is stated that \(y^2=8\implies y = \pm \sqrt 8\) which is a constant and later it talks about a rate of change in the value of y wrt time.. Can you state the equation correctly

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

    I have no clue about this :/

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

    are you sure that the question given to is like that?

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

    I think i may be able to figure it out, but thank you soooo much man! :D

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

    medal for you ;)

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

    u are welcome ;)

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

    =D

  16. 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.