Use spherical coordinates.
Evaluate
(4 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 16, z ≥ 0. | |
H |
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Use spherical coordinates. Evaluate (4 − x2 − y2) dV, where H is the solid hemisphere...
mmer 2019 3. Evaluate: M y2 dV where E the solid hemisphere x2 + y2 +z2 9 and y 2 0 indrnse) mmer 2019 3. Evaluate: M y2 dV where E the solid hemisphere x2 + y2 +z2 9 and y 2 0 indrnse)
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...
4. (9-22 - y2)dV where H is the solid hemisphere ? + 4. Evaluate SS y2 + 22 S 9,220
(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 =
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5. Use spherical coordinates to evaluate 1952/x + y? + dv ", over the solid bounded below by the cone z= V8 + y2 and, and above by the sphere z= 11- x2 - y2
Use spherical coordinates. Evaluate (8 -x2 -v-) dvV, where H is the solid hemispherexy2 4, 0. J JH Use spherical coordinates. Evaluate (8 -x2 -v-) dvV, where H is the solid hemispherexy2 4, 0. J JH
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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.