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

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

  • one year ago
  • one year ago

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

    help me :'(

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

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

    • one year ago
  3. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

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

    • one year ago
  4. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

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

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

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

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

    which one gives u the greatest area?

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

    *value, sorry.

    • one year ago
  8. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

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

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

    what did you get when you integrated

    • one year ago
  10. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

    27/6 ???

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

    which interval?

    • one year ago
  12. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

    [-1,2]

    • one year ago
  13. UnkleRhaukus
    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?

    • one year ago
  14. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

    yes!

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

    actually i think i made a mistake

    • one year ago
  16. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

    it's separated right

    • one year ago
  17. jackkim4
    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]

    • one year ago
  18. UnkleRhaukus
    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

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

    so when is this maximum

    • one year ago
  20. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

    at a= -1 b= 2 ! right?

    • one year ago
  21. sirm3d
    Best Response
    You've already chosen the best response.
    Medals 1

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

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

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

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

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

    • one year ago
  24. sirm3d
    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]

    • one year ago
  25. sirm3d
    Best Response
    You've already chosen the best response.
    Medals 1

    wow, my answer is among the choices given.

    • one year ago
  26. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

    omg lol

    • one year ago
  27. sirm3d
    Best Response
    You've already chosen the best response.
    Medals 1

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

    • one year ago
  28. jackkim4
    Best Response
    You've already chosen the best response.
    Medals 0

    yayyyyyy tytytyty! :')

    • one year 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.