A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Find the number c that satisfies the conclusion of Rolle's Theorem. f(x) = 5 - 8x + 2x^2 [1, 3]

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

    f'(x)=-8+4x f'(x)=0 imples -8+4x=0 implies 4x=8 so x=2 since x=2 in between 1 and 3 then x=2 is the c that satisfies the conclusion of rolles thm

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

    thats it??

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

    Don't forget, for Rolle's theorem to be applicable, you need to show that f(1)=f(3) (which it does here).

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

    and what if it doesnt

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

    i assumed that was the case since it said just to look at the conclusion

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

    it does...i was just wondering

  7. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but it easy to check to see if it does satisfy the hypothese so why not

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

    Rolle's theorem is dependent upon f real being continuous on a closed interval [a,b], differentiable on the open interval, (a,b), and f(a)=f(b).

  9. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    right vg

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

    You would roll over to the mean value theorem if f(a) did not equal f(b).

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

    ok i get it! thank u guys! :D

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

    kk

  13. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but who needs rolle when u have mean value thm it easier to memorize one thm than two

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

    agreed :)

  15. 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.