Q 3. If the density function of a solid object that occupies the region B is p(x, y, z), in units of mass per unit volume, at any given point (x, y, z), then the mass of the solid object is : /// p(x, y, z)dV. m В Determine the mass of the solid with density function p(x, y, z) = zx² + zy², which occupies the region bounded in the first octant by y² + z² = 9 and the plane y — Зх — 1.

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Q: b) Find the mass of the solid G in the first octant bounded by the planes y = X,X = 0,z = 0 and by…

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Q: 6. Find the mass of the upper half of the sphere r²+y² +z² 0, if the density at any point in the…

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Q: Find the mass of the solid that has density r(x,y,z) = y and is below the             surface z = 4…

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Q: 3. Find the mass and the center of mass of the lamina occupying the region D, which is the region…

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Q: (b) Find the mass of the surface S, where S is given by r(u, v) = (2uv, u²-v², u²+v²), (u, v) E D…

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Q: 7. Find the mass of the lamina occupying the region R = {(x, y) E R² : x² + y° 0, y < 0} given that…

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Q: 2. Find the mass of the surface x+ y + z = 6 that lies in the first octant and has density function…

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Q: 5. Find the z-coordinate of the centre of mass for solid G where G is the solid in the first octant…

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Q: Find Mass, Mx, My and ē and j of the Lamina bounded by R = {(x, y) | 1 < x < 9,1 < y < 9} and with…

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