A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Find the volume of the region between the graph of f(xy)=36−x^2−y^2 and the xy plane. I'm not too sure how to set up the double integral-- but 36-x^2-y^2 is what we will integrate? right??

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

    the x will surely go from 0 till 6

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

    or maybe from -6 to 6

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

    ok I guess I have an idea

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

    the level surface of this is always a circle

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

    when we look at the xy plane it is a circle with center (0,0) and radius 6

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

    so x goes from -6 to 6 and y goes from

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

    would we then use x^2 + y^2 = r^2 to solve for y?

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

    \[-\sqrt{36-x ^{2}}\] to \[\sqrt{36-x ^{2}}\]

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

    hmm this cannot be good... damn it would mean that the integral is 0

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

    I'm going to think about it over dinner-- will be back in 20 min

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

    ok, I am going to bed soon

  12. 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.