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Evaluate the triple integral below where E is enclosed by the paraboloid 2= 4 - -...
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
Evaluate the triple integral. SSS E 8x dV, where E is bounded by the paraboloid x = 5y^2 + 5z^2 and the plane x = 5.
4. (20 points) Use integration in spherical coordinates to evaluate the triple integral where E is the region determined by x2 +y2 + z's 2z. 4. (20 points) Use integration in spherical coordinates to evaluate the triple integral where E is the region determined by x2 +y2 + z's 2z.
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.
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.
Evaluate the triple integral ∭ExdV where E is the solid bounded by the paraboloid x = 5y2 + 5z2 and x = 5.
Evaluate the triple integrals JR V and JSSR zdv, where R is the region bounded above by the sphere x2 +y2+22 : 4, below by the cone 3za_ x2 + y2, and such that y 2 0 Evaluate the triple integrals JR V and JSSR zdv, where R is the region bounded above by the sphere x2 +y2+22 : 4, below by the cone 3za_ x2 + y2, and such that y 2 0
JJJE Evaluate the triple integral (2 + xy) dV, where is the solid region above the paraboloid z = 22 + y2 and below the plane z = 9. O 817 O 547 O 1627 O 1087 O 727
5. (12 pts.) Evaluate the following triple integral where the region E lies above the cone 32+32 and below the sphere +y2 5. (12 pts.) Evaluate the following triple integral where the region E lies above the cone 32+32 and below the sphere +y2
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...