The disc S is the intersection of the massive sphere x2+ y2+ z2≤2 and the plane x = y. (a) Use spherical coordinates to find a parametrization of the surface S. (b) Calculate ∫∫xy dσ S
The disc S is the intersection of the massive sphere x2+ y2+ z2≤2 and the plane x = y. (a) Use spherical coordinates to find a parametrization of the surface S. (b) Calculate ∫∫xy dσ S
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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The disc S is the intersection of the massive sphere x2+ y2+ z2≤2 and the plane
x = y.
(a) Use spherical coordinates to find a parametrization of the surface S.
(b) Calculate ∫∫xy dσ
S
.
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