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2. Let S be the portion of the plane 4x + 2y + z = 4 which lies in the first octant. Suppose the density

2. Let S be the portion of the plane 4x + 2y + z = 4 which lies in the first octant.

Suppose the density of S is given by (x, y, z) = z with units of mass/area .

(a) Sketch S and the projection of S in the xy-plane.

(b) Find S (x, y, z) dS by evaluating a double integral with order dy dx. the has a subscript S on it

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