1. Set up [ƒƒ ƒ (x, y, z) dV on the portion of the sphere x² + y² + 2² ≤ 4, with x ≥ 0,3 ≥ 0 and z ≤ 0.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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1. Set up fff f (x, y, z) dV on the portion of the sphere x² + y² + z² ≤ 4, with x ≥ 0, y ≥ 0 and z ≤ 0.
Transcribed Image Text:1. Set up fff f (x, y, z) dV on the portion of the sphere x² + y² + z² ≤ 4, with x ≥ 0, y ≥ 0 and z ≤ 0.
Expert Solution
Step 1

The given portion of the sphere x2+y2+z24, with x0, y0 and z0.

We have to set up the triple integration.

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