Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jackkim4 Group Title

Find the interval [a,b] for which the value of the integral b s(2+x-x^2)dx a is maximum

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    help me :'(

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

    is this your question ?\[\int\limits_a^b(2+x-x^2)\text dx\]

    • 2 years ago
  3. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes!!! sry first time here....

    • 2 years ago
  4. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    is the answer [-1, 2] or [-1,1/2] ??

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

    as @UnkleRhaukus pointed out, you have maximize \[ \large F(a,b)=\int_a^b(2+x-x^2)\,dx \]

    • 2 years ago
  6. helder_edwin Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    which one gives u the greatest area?

    • 2 years ago
  7. helder_edwin Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    *value, sorry.

    • 2 years ago
  8. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    doesnt [-1, 1/2] wait no... it's [-1, 2]

    • 2 years ago
  9. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what did you get when you integrated

    • 2 years ago
  10. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    27/6 ???

    • 2 years ago
  11. helder_edwin Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    which interval?

    • 2 years ago
  12. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    [-1,2]

    • 2 years ago
  13. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int\limits_a^b(2x^0+x^1-x^2)\text dx=\frac{2x^1}1+\frac{x^2}2-\frac{x^3}{3}\Big|_a^b\]\[=2(b-a)+\frac{(b-a)^2}2-\frac{(b-a)^3}{3}\] right?

    • 2 years ago
  14. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes!

    • 2 years ago
  15. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    actually i think i made a mistake

    • 2 years ago
  16. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    it's separated right

    • 2 years ago
  17. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    [2b+b^2/2-b^3/3]-[2a+2a^2/2-a^3/3]

    • 2 years ago
  18. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int\limits_a^b(2x^0+x^1-x^2)\text dx=\frac{2x^1}1+\frac{x^2}2-\frac{x^3}{3}\Big|_a^b\]\[\qquad\qquad=\left({2b}+\frac{b^2}2-\frac{b^3}3\right)-\left({2a}+\frac{a^2}2-\frac{a^3}3\right)\]yeahs

    • 2 years ago
  19. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so when is this maximum

    • 2 years ago
  20. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    at a= -1 b= 2 ! right?

    • 2 years ago
  21. sirm3d Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Maximize F(b) by derivative, minimize F(a) by derivative.

    • 2 years ago
  22. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[=b\left({2}+\frac{b}2-\frac{b^2}3\right)+a\left(-{2}-\frac{a}2+\frac{a^2}3\right)\]

    • 2 years ago
  23. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[=6b\left(12+3b-2b^2\right)+6a\left(2a^2-3a-12\right)\]

    • 2 years ago
  24. sirm3d Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large F \prime (b)=2+b-b^2=0\]\[\large \text{max at } b=2\]\[\large F \prime (a)=2+a-a^2=0\]\[\large \text{max at } a=-1\] interval: [-1, 2]

    • 2 years ago
  25. sirm3d Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    wow, my answer is among the choices given.

    • 2 years ago
  26. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    omg lol

    • 2 years ago
  27. sirm3d Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    typo mistake. it should be min at a = -1

    • 2 years ago
  28. jackkim4 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yayyyyyy tytytyty! :')

    • 2 years ago
    • Attachments:

See more questions >>>

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.