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Homework Help: Triple integral - solid tetradhedon

  1. Oct 28, 2005 #1
    Evaluate the triple integral [tex] \int \int \int xy*DV[/tex] where E is the solid
    tetrahedon with vertices (0,0,0), (4,0,0),(0,1,0),(0,0,7)

    first i'm going to find n:
    AB= <-4,1,0>
    AC= <-4,0,7>
    AB X AC = <7,28,4> = n

    so i get this equation: 7(x-4) + 28y + 4z = 0
    => 7x+28y+4z = 28

    so the bounds of z should be z = 0..28-7x-28y

    solving for y gives me the bounds for y = 0.. 1-1/4*x

    and the x bounds x = 0..1

    are my bounds correct?
  2. jcsd
  3. Oct 28, 2005 #2
    Don't forget that z had a coefficient of 4.
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