1. Consider the surface which is the part of the sphere r? + y? + 2? = 4 that lies above the cone z = Vx? + y? and y > 0. Integrate the function H (x, y, z) = yz on this surface.

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. Consider the surface which is the part of the sphere r? + y? + 2? = 4 that lies above the cone
z = Vx? + y? and y > 0. Integrate the function H (x, y, z) = yz on this surface.
Transcribed Image Text:1. Consider the surface which is the part of the sphere r? + y? + 2? = 4 that lies above the cone z = Vx? + y? and y > 0. Integrate the function H (x, y, z) = yz on this surface.
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