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

Wislar

Find the image of the set S under the given transformation: u=0, u=1, v=0, v=1, x=v, y=u(1+v^2)

  • one year ago
  • one year ago

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

    plug in \(x(0,0), x(1,1), y(0,0), y(1,1)\)

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

    Yes, that's the function. That's it?

    • one year ago
  3. vf321
    Best Response
    You've already chosen the best response.
    Medals 1

    No, that's the function. The image is the range of values you get from the "domain" S.

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

    Seems to me that \[ x(0,0) \leq x \leq x(1,1) \]

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

    Alright, I have (0,0)->(0,0) (1,0)->(1,1) (0,1)->(0,0) (1,1)->(1,2) Is that it?

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

    Look at the highest and lowest of x and y.

    • one year ago
  7. vf321
    Best Response
    You've already chosen the best response.
    Medals 1

    @Wislar are you implying that \(S = \{0, 1\} \times \{0, 1\}\)? From your question, it seems to just be \(S = \{ (0,0), (1,1)\}\). Please clarify.

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

    The points on the first image are (0,0), (1,0), (1,1), (0,1) which is a square and plugging those into the equations for x=v and y=u(1+v^2) to get those points

    • one year ago
  9. vf321
    Best Response
    You've already chosen the best response.
    Medals 1

    Then your image is the set of all the transformed points.

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

    So I had to correctly?

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

    it**

    • one year ago
  12. vf321
    Best Response
    You've already chosen the best response.
    Medals 1

    Well, I'm not going to check your arithmetic, but it should be the four points on the right side of your arrows in your above comment. Also make sure that \(S\) only relates to those four points, and is NOT defined by \(S = \{(u, v) | u \in [0,1] \land v \in [0,1]\}\)

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

    That's what I did. Thanks!

    • 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.