Answered: Jevaluate the surface integral ff,…

Jevaluate the surface integral ff, (y²z2 i+ z?x² j+ z²y²k).n ds, where S is the part of the sphere x2 +y? +z2 =1, above the xy plane and bounded by this plane.

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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Question

evaluate the surface integral ff, (y?z2 i+ z²x² j + z²y²k).n ds ,
where S is the part of the sphere x2 + y? +z2 =1, above the xy plane and
bounded by this plane.

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