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Homework Help: Change of variables

  1. Aug 13, 2010 #1
    find the image of the set S under the given transformation: S is the disk given by u^2 + v^2 <= 1 where x=au, y=bv

    since it is a circle i have that the boundaries are [-1,1] x [-1.1] so for my equations i got
    x = au, y = -b
    x = a, y = bv
    x = au, y = b
    x = -a, y = bv

    i don't know what the next step would be in trying to draw that
  2. jcsd
  3. Aug 13, 2010 #2


    Staff: Mentor

    If x = au and y = bv, then u = x/a and v = y/b. I would replace u and v by x/a and y/b, respectively, in the given inequality.
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