Question: Let W be the region bounded by the planes y = z, 2y + z = 3, and z = 0 for 0 x

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 f(x, y, z)dV as an iterated integral in the order dy dx dz (project W onto

(a) Express the triple integral (x, y,2)dV as an iterated integral in the order dy dx dz (project W onto the xz-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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