Use spherical coordinates. evaluate (5 - x2 - y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0. h

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Mathematics

Villegas

17 January, 20:00

Use spherical coordinates. evaluate (5 - x2 - y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0. h

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Pinto · Answer 1

the first octant inside the cylinder x2 + y2 = 16 and below the plane z = 3. 2 Sketch the solid whose volume is given by the integral. ∫ π/2. 0. ∫ 2. 0. ∫ 9-r2. 0 r dz dr dθ, and evaluate the integral. 3 Use spherical coordinates to evaluate. ∫∫∫. E z dV, where E lies between the spheres x2+y2+z2 = 1 and x2 + y2 + z2 = 4 in ...