please show all work Use cylindrical coordinates Evaluate SIS 30x2 + xy) dv, where is the...
Use cylindrical coordinates. Evaluate SIS x2 + y2 dv, where E is the region that lies inside the cylinder x2 + y2 = 4 and between the planes z = 3 and z = 12. x
Use cylindrical coordinates to evaluate the triple integral J Vi +y2 dV, where E is the solid bounded by the circular paraboloid z 16 -1(z2 +y2) and the xy-plane.
Use cylindrical coordinates to evaluate the triple integral ∭E √(x2+y2)dV where E is the solid bounded by the circular paraboloid z = 1-1(x2+y2) and the xy -plane.
(1 point) Use cylindrical coordinates to evaluate the triple integral 2dV, where E is the solid bounded by the circular paraboloid z = 16 – 16 (x2 + y²) and the xy -plane.
3. (34 pts) This question has three parts (a), (b) ad e atd are (a) Evaluste the integralJ)codA, where w (b) Evaluate I (y+2)dV, where E is the solid in the first octant that lies under the paraboloid 4y (c) Find The volume of the solid bounded by the paraboloids : 3a + 4-r-r 3y2 and z 3. (34 pts) This question has three parts (a), (b) ad e atd are (a) Evaluste the integralJ)codA, where w (b) Evaluate I...
3. Use spherical coordinates to evaluate the integral V dV where is the portion of the unit ball srº + y2 + 22 S 1 in the first octant.
4. Using spherical coordinates, evaluate the triple integral: ry: dl, where E lies between the spheres r2+94:2-4 and r2+92+ะ2-16 and above the cone V+v) or Recommend separating! 5. Using spherical coordinates, find the volume of the solid that lies within the sphere r2+y2+2 9, above the ry-plane, and below the cone ะ-V/r2 + y2 Reconnnend separating! 6. Using spherical coordinates, evaluate the triple integral: 2 + dV where E is the portion of the solid ball 2+2+2 s 4 that...
Use cylindrical coordinates. Evaluate the integral, where E is enclosed by the paraboloid z = 3 + x2 + y2, the cylinder x2 + y2 = 6, and the xy-plane. e dy
3. Use spherical coordinates: a) Evaluate IILr2 + ข้า dV where E is the solid region inside the sphere 12 + y2 + ~2-16 and above the cone 3r2 + 3y2 b) Find the centroid of the solid hemisphere of radius a, centered at the origin and lying above the xy- plane 3. Use spherical coordinates: a) Evaluate IILr2 + ข้า dV where E is the solid region inside the sphere 12 + y2 + ~2-16 and above the cone...