A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

If h''(t)=1, h'(2)=3 and h(4)=5, find h(6)

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

    Do you know what the antiderivative of 1 is?

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

    x

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

    yes, but you have to add C as a constant of integration because both y = x and y = x + 2 have 1 as a derivative. So when you take the antiderivative of h"(t) = 1, you get h'(t) = x + C Then you use the fact that h'(2) = 3 to solve for C

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

    so.. 2+C=3 then, solve for C

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

    yes

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

    C=1

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

    right. so the first derivative is h'(t) = x + 1. now take the antiderivative of that

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

    1/2x^2+x

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

    h(t) = 1/2x^2+x+C Use h(4)=5 to find C

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

    C=-7

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

    Right. h(t) = ½t² + t - 7. All that's left is to find h(6)

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

    17

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

    yes

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

    thank you so much :)

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

    you're welcome

  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.