Suppose a solid mass is in the shape of the unit ball in R³, that is, the region with ² +y? + 2? < 1. Suppose its mass density is f(r, y, z) = 1 – VI² + y? + z². Find its total mass.

Q: Find the mass and center of mass of the solid E with the given density p. E is the cube 0 < x < a, 0…

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Q: Find the volume of the solid bounded by x+y2=3z, and x2+y2=6x.

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Q: Q3) Find volume of body from below z = x² + y² and above z = 1.

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Q: Find the mass of an object with density p(x, y) = x² if the object is a region D bounded by ² and 15…

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Q: Find the volume of the solid bounded z = x² + y², x² + y² = 1, and z = 0.

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Q: Consider a solid bounded by, x² + y²=16, z=y², z=0 and x=0 Calculate its volume.

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