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1: The region in the first octant bounded by the coordinate planes and the planes x+ z =1, y +2 z =2 Set up and

1: The region in the first octant bounded by the coordinate planes and the planes x+ z =1, y +2 z =2 Set up and evaluate six different triple integrals, each equivalent to the given problem. (That is, by dzdydx, dzdxdy, dydzdx, dydxdz, dxdzdy, dxdydz) The final answer should be the same for each. Problem 2: 2 2 Find the volume of the solid enclosed by the cone z= x + y and between the planes z=1 z=2 . Set up and evaluate the triple integral. -----------------------------------------------------------------------------------------------------------------The focus of these problems should be on the setup of the triple integrals. You can evaluate it simply with a calculator or math software, if you prefer. The setup of the triple integrals should include a step-by-step verbal description where needed. (As if you're explaining to a novice.) A brief verbal description of what is happening graphically in each problem must also be included. Including the graphs is welcome, but not necessary. Please write in a neat and organized manner. Thank you. \f\f

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