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Change of Variables: Jacobians (Answer check)

  1. Nov 12, 2008 #1
    1. The problem statement, all variables and given/known data

    Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations: x=(1/3)(4u-v) y=(1/3)(u-v)


    2. Relevant equations

    3. The attempt at a solution

    3y+v=u place this into the x equation


    place this back into equation above, simplify, and we have


    (x,y) (u,v)
    (0,0) (0,0)
    (2,2) (0,-6)
    (4,1) (3,0)
    (6,3) (3,-6)


    Seems to come out correct, but just want to double check. Any help is appreciated :smile:
  2. jcsd
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