Let W be the region bounded by the planes y = z, 2y + z
Question and Solution
Let W be the region bounded by the planes y = z, 2y + z = 3, and z = 0 for 0 ? x ? 4. (a) Express the triple integral W
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Let W be the region bounded by the planes y = z, 2y + z = 3, and z = 0 for 0 ? x ? 4. (a) Express the triple integral W f (x, y, z) dV as an iterated integral in the order dy dz dx (project W onto the yz-plane). (b) Evaluate the triple integral for f (x, y, z) = 1. (c) Compute the volume of W using geometry and check that the result coincides with the answer to (b).
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