Use the divergence theorem to evaluate the surface integral missing z = 0, and N is the outward unit normal for S. F. Nd.S where F = 2yi - zj +3æk, S is the surface comprised of the five faces of the unit cube 0 ≤x≤ 1,0 ≤y≤ 1,0 ≤ z ≤ 1,

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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Use the divergence theorem to evaluate the surface integral
IJs
S
missing z = 0, and N is the outward unit normal for S.
F. N dS where F
: 2yi – zj + 3xk, S is the surface comprised of the five faces of the unit cube 0 ≤ x ≤ 1,0 ≤ y ≤ 1,0 ≤ z≤1,
Transcribed Image Text:Use the divergence theorem to evaluate the surface integral IJs S missing z = 0, and N is the outward unit normal for S. F. N dS where F : 2yi – zj + 3xk, S is the surface comprised of the five faces of the unit cube 0 ≤ x ≤ 1,0 ≤ y ≤ 1,0 ≤ z≤1,
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