Recent content by piepowah

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    Triple Integral over Region: Finding Volume with f(x,y,z) = z

    I finally got the values, 1/3, to match up! Thanks haruspex and LCKurtz for both of your help ^^. I appreciate it.
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    Triple Integral over Region: Finding Volume with f(x,y,z) = z

    For the first part, the projection is on the xy-plane, so shouldn't dz be first in the order of integration since z depends on both x and y? Sorry for the late response, it was 1 in the morning where I live so I went to sleep.
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    Triple Integral over Region: Finding Volume with f(x,y,z) = z

    By fixing z, do you mean making it constant, from 0 to 2, for the innermost integral?
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    Triple Integral over Region: Finding Volume with f(x,y,z) = z

    Yeah, I think by projection the question means slices parallel to the given plane. You can call the projection the domain/boundary of the plane, but it extends with a "height."
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    Triple Integral over Region: Finding Volume with f(x,y,z) = z

    Homework Statement Let W be the region bounded by y + z = 2, 2x = y, x = 0, and z = 0. Express and evaluate the triple integral of f (x, y, z) = z by projecting W onto the: (a) xy-plane (b) yz-plane (c) xz-plane.Homework Equations The function f (x, y, z) = z and the boundary W: {y + z = 2, 2x...
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