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Suppose a Solid Is the Region in Three-Space in the First

Question 30

Essay

Suppose a solid is the region in three-space in the first octant bounded by the plane x + y = 1 and the cylinder x2+z2=1x ^ { 2 } + z ^ { 2 } = 1 .If the density of this solid at a point (x, y, z)is given by δ(x,y,z)=z3\delta ( x , y , z ) = z ^ { 3 } , find its mass.

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