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Math Help - Transformations

  1. #1
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    Transformations

    Evaluate the following integral by making an appropriate change of variable.

    I don't know how to use the math tags, so I attached it.

    I set u = x+y and v=y-2x. Then I note that the sides are x=0, y=0, and x=y. What next?
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Like you I don't know Latex so see the attachment

    By the way you're region is bounded ny x = 0 , y= 0 and y = 1-x

    Its all in the attachment
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  3. #3
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    I got it. Thank you so much for your time! It was very clear and helpful.
    Last edited by veronicak5678; April 17th 2009 at 11:26 PM.
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  4. #4
    MHF Contributor Calculus26's Avatar
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    In an e-mail I got you said you had difficulty finding x and y in terms of u and v but it seems you figured it out

    In case you haven't there are 2 ways

    1. Using matrices --see attachment
    2.Brute force and ignorance

    u =x+y
    v = -2x+y

    subtract the 2 eqns --this eliminates y solve for x
    use the result in either eqn to find y
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  5. #5
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    Yeah, I figured it out. I must have somehow sent the e-mail by mistake. Thanks again for your help.
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