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1. (16 points) Consider @, the solid bounded by the parabolic cylinder y = x2, the plane 2y + z = 8, and the plane
1. (16 points) Consider @, the solid bounded by the parabolic cylinder y = x2, the plane 2y + z = 8, and the plane z = 0. (a) Graph this using Desmos3d or some other software and sketch it below. (b) Set up the triple integral dV. What physical quantity might this triple integral represent? Hint: dedydr works here and z does NOT depend on r. (c) Evaluate the triple integral ( 23 av - note the integrand is not 1. What physical quantities might the integrand and therefore the triple integral represent
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