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Math Help - Parameterisation of surface region

  1. #1
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    Parameterisation of surface region

    The question

    Find a parameterisation for the surface region S of the plane 2x + 3y + z = 4 bounded by -1 < x + y \le 3, 2 \le x - y \le 4

    I'm not sure how to attempt this. I graphed the bounds on the x-y plane and noticed that its just a rectangle. But how do a parameterise a surface? Thanks.

    EDIT: Not to worry, I worked it out. I needed to substitute u = x + y and v = x - y, then write the parameterisation in terms of u and v.
    Last edited by Glitch; June 4th 2011 at 07:09 AM.
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