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Q4. Evaluate SS (3x – 2y) dv, where is the region between the sphere x2 +...
Use spherical coordinates. Evaluate (4 − x2 − y2) dV, where H is the solid hemisphere...
Use spherical coordinates.
Evaluate
(4 − x2 − y2) dV, where H is
the solid hemisphere x2 + y2 + z2
≤ 16, z ≥ 0.
H
Use cylindrical coordinates. Evaluate SIS x2 + y2 dv, where E is the region that lies...
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
5. Evaluate /// (y +z) dV where E is bounded by x = 0, y =...
5. Evaluate /// (y +z) dV where E is bounded by x = 0, y = 0, x2 + y2 + z2 = 1, and x2 + y2 + 2?" = 9. Use spherical coordinates. Answer must be exact values.
Evaluate Sed = 25 and E 1 dV, where E lines between the spheres x2 +...
Evaluate Sed = 25 and E 1 dV, where E lines between the spheres x2 + y2 + x2 x2 + y2 + 22 = 36 in the first octant. x² + y2 + z2
Evaluate the integral, where E is the region that lies inside the cylinder x2 + y2...
Evaluate the integral, where E is the region that lies inside the cylinder x2 + y2 = 4 and between the planes z = -1 and z = 0. Use cylindrical coordinates. SSSE V.x2 + y2 DV =
(1 point) Use spherical coordinates to evaluate the triple integral dV, e-(x+y+z) E Vx2 + y2...
(1 point) Use spherical coordinates to evaluate the triple integral dV, e-(x+y+z) E Vx2 + y2 + z2 where E is the region bounded by the spheres x² + y2 + z2 = 4 and x² + y2 + z2 16. Answer =
Evaluate the following integral, Spz where S is the part of the sphere x2 + y2...
Evaluate the following integral, Spz where S is the part of the sphere x2 + y2 +z2 16 that lies above the cone z = V5V -
Evaluate the following integral, Spz where S is the part of the sphere x2 + y2 +z2 16 that lies above the cone z = V5V -
3. Use spherical coordinates: a) Evaluate IILr2 + ข้า dV where E is the solid region inside the s...
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...
6. Evaluate the surface integral // F.ds where the surface S is the sphere x2 +...
6. Evaluate the surface integral // F.ds where the surface S is the sphere x2 + y2 + z2 = 4 [ Ꭻ Ꭻs . and F = (xz, -2y, 3.c) with outward orientation. 7. Use the Divergence Theorem to recalculate the surface integral in problem 6.
11. Evaluate S. 'S*(1 + 3x2 + 2y?) dx dy. 12. Find the volume in the...
11. Evaluate S. 'S*(1 + 3x2 + 2y?) dx dy. 12. Find the volume in the first octant of the solid bounded by the cylinder y2 + z2 = 4 and the plane x = 2y. Graph for Problem 12 13. Find the volume under the paraboloid z = 4 - x2 - y2 and above the xy-plane. N Consider the solid region bounded above by the sphere x + y + z = 8 and bounded below by the...
Use spherical coordinates.
Evaluate
(4 − x2 − y2) dV, where H is
the solid hemisphere x2 + y2 + z2
≤ 16, z ≥ 0.
H
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
5. Evaluate /// (y +z) dV where E is bounded by x = 0, y = 0, x2 + y2 + z2 = 1, and x2 + y2 + 2?" = 9. Use spherical coordinates. Answer must be exact values.
Evaluate Sed = 25 and E 1 dV, where E lines between the spheres x2 + y2 + x2 x2 + y2 + 22 = 36 in the first octant. x² + y2 + z2
Evaluate the integral, where E is the region that lies inside the cylinder x2 + y2 = 4 and between the planes z = -1 and z = 0. Use cylindrical coordinates. SSSE V.x2 + y2 DV =
(1 point) Use spherical coordinates to evaluate the triple integral dV, e-(x+y+z) E Vx2 + y2 + z2 where E is the region bounded by the spheres x² + y2 + z2 = 4 and x² + y2 + z2 16. Answer =
Evaluate the following integral, Spz where S is the part of the sphere x2 + y2 +z2 16 that lies above the cone z = V5V -
Evaluate the following integral, Spz where S is the part of the sphere x2 + y2 +z2 16 that lies above the cone z = V5V -
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...
6. Evaluate the surface integral // F.ds where the surface S is the sphere x2 + y2 + z2 = 4 [ Ꭻ Ꭻs . and F = (xz, -2y, 3.c) with outward orientation. 7. Use the Divergence Theorem to recalculate the surface integral in problem 6.
11. Evaluate S. 'S*(1 + 3x2 + 2y?) dx dy. 12. Find the volume in the first octant of the solid bounded by the cylinder y2 + z2 = 4 and the plane x = 2y. Graph for Problem 12 13. Find the volume under the paraboloid z = 4 - x2 - y2 and above the xy-plane. N Consider the solid region bounded above by the sphere x + y + z = 8 and bounded below by the...
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