Question: 2. (10 points) Let W be the solid defined by 5 x + y, x + y 4, and z 1. (A) Sketch the

2. (10 points) Let W be the solid defined by 5 x + y, x + y 4, and z 1. (A) Sketch the solid in R and the projection of the solid onto the xy-plane In R. (solution) (B)-(F) Set up (but do not evaluate) an Iterated Integral to compute the volume of the solid using the following order of Integration. Do not use any translation of the solid. You split the solid using additions only when you have to do. (B) dydx (solution) (C) drde (solution) (D) dzdydx (solution) (E) dzdrde (solution) (F) dodode (solution) (G) Evaluate one of the Integrals above to find the volume of the solid. (solution) (H) Use the Cylindrical Coordinates to set up (Do not compute) Integral(s) to express the total mass of the solid if its mass density is the distance from the origin. (solution)

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