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Math Help - Need some help setting up a triple integral

  1. #1
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    Need some help setting up a triple integral

    Set up the triple integral to find the volume between the surfaces z=1, z=4, y=2-x, and y=x.

    Ok, so clearly the limits for z are 1 to 4, but I am not sure what the limits would be for y and x. Can someone help with this please? Thank you!
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  2. #2
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    So, you've got yourself a cylindrical shape (i.e., one variable doesn't really help to define the shape - in this case, z). How do the two curves y=2-x, and y=x look? Do they enclose an area? If so, where are the intersection points? That might give you some direction.
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