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

jedai17

determine the limits and evaluate.. ∫∫x2y2dA where f is a figure bounded by F lines y = 1, y = 2 and x = 0, x = y

  • one year ago
  • one year ago

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

    |dw:1364052128248:dw| that gives you the limits

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

    it is easier to travel on y-axis because there is no sudden breaks

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

    so \[0\le x\le y \qquad\text{&}\qquad1\le y\le2\]

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

    if you are on the x-axis, you have to consider two pieces A) \(1\le y\le2 \qquad\text{&}\qquad0\le x\le1\) B) \(x\le y\le2 \qquad\text{&}\qquad1\le x\le2\) and sum them

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

    follow?

    • one year ago
  6. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    in x=y, the value of y will become a and 2?

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

    "a"?

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

    all points on the "x=y" line will have the same abscissa and ordinate

    • one year ago
  9. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    ah ok..

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

    yup, in the problem, all you need are the limits

    • one year ago
  11. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    will i add these A) 1≤y≤2&0≤x≤1 B) x≤y≤2&1≤x≤2 ??

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

    use the first method its easier.

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

    yes those are your two regions for the second method

    • one year ago
  14. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    x=0 to 1 and y= 1 to 2 ?

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

    no x=0 to y and y=1 to 2

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

    |dw:1364053324530:dw|

    • one year ago
  17. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    i will integrate x^2y^2 using the limits x=0 to y and y=1 to 2 ?

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

    methid "1" is the horizontal element method "2" is the vertical

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

    yep. you got it

    • one year ago
  20. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    ah ok.. in \[\int\limits_{1}^{2}\int\limits_{0}^{y} x^2y^2 dxdy\], got 127/36.. is it right?

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

    \[ \int_{y=1}^2y^2\left[x^3\over3\right]_0^ydy={1\over3\times6}\left[y^6\right]_1^2 \]

    • one year ago
  22. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    7/2?

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

    yep

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

    .. wait..

    • one year ago
  25. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    ok..

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

    false alarm

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

    \[dA=dxdy\]

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

    kapeesh?

    • one year ago
  29. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    127/36 = 3.53 7/2 = 3.5 my answer is 127/36 :)) its almost the same :)

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

    lol

    • one year ago
  31. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1364054668113:dw|

    • one year ago
  32. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    @electrokid ? look at my answer?

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

    great job :D I'd personally not like to have many terms while integrating ... it gives migraine without it!

    • one year ago
  34. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you!so is my answer also correct?

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

    yep...

    • one year ago
  36. jedai17
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you! tnx for ur time :)

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

    yer welcome :)

    • 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.