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Homework Help: Double integral

  1. Mar 22, 2006 #1
    http://www.mrnerdy.com/forum_img/mq1.JPG [Broken]

    from the equation given, i change it into f(x,y).
    how can i obtain the region of integration for x and y?

    thank you.
    Last edited by a moderator: May 2, 2017
  2. jcsd
  3. Mar 22, 2006 #2
    Are sure that the equation is linear in all the variables?
  4. Mar 22, 2006 #3


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    I don't understand that question: first, being linear is not really relevant to the problem (it just makes the integration easier) and, second, yes, it clearly is linear in all variables!

    However, denien, I would point out that [itex]\frac{x}{3}+ \frac{y}{4}+ \frac{z}{5}= 1[/itex] is not a solid! It may well give one boundary of a solid but where are the others? (Possibly the coordinate planes?)
    Last edited by a moderator: Mar 22, 2006
  5. Mar 22, 2006 #4
    Thanks...I'll have to straighten out my terminology. I just wanted to convey the fact that the given equation did not represent a solid.
  6. Mar 30, 2006 #5
    so, does it represent a plane instead?
  7. Mar 30, 2006 #6


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    Are any ranges of integration given?
  8. Mar 30, 2006 #7
    no. only given that equation.
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