Question: ( 1 0 ) 7 . Use double integration i n polar coordinates t o find the volume o f the solid that lies below

(10)7. Use double integration in polar coordinates to find the volume of the solid that lies
below the surface z=ln(x2+y2) and above the circles x2+y2=1 and x2+y2=4
in the xy- plane.
(15)8. Set up the following triple integrals a{:Qdxdydz,b)Qdydzdx, and
cQdzdxdy where Qis the tetrahedron cut from the first octant by the
plane x+y+z=5. Evaluate all three sets of integrals.
(12)9. Find the volume of the solid bounded by the graphs of these equations: z=9-x2,
z=0,y=0, and y=2x.
(14)10. Find the mass and xof the region Q with density, =3, where Qis the solid region
bounded by4x+4y+2z=8,x=0,y=0, and z=0.
(12)11. Use cylindrical coordinates to find the mass of the ellipsoid Q given by4x2+4y2
+z2=16 lying above the xy-plane when its density is=2...... please solve ALL questions
( 1 0 ) 7 . Use double integration i n polar

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