Use the divergence theorem to evaluate the surface integral normal for S. ₂² F. Nd.S where F = xyzi+xyzj+ xyzk, S is the surface of the box 0 ≤x≤1,0 ≤ y ≤ 2,0 ≤ z≤ 3, and N is the outward unit

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
normal for S.
F. NdS where F
=
| xyzi + xyzj + xyzk, S is the surface of the box 0 ≤ x ≤ 1,0 ≤ y ≤ 2,0 ≤ z ≤ 3, and N is the outward unit
Transcribed Image Text:Use the divergence theorem to evaluate the surface integral normal for S. F. NdS where F = | xyzi + xyzj + xyzk, S is the surface of the box 0 ≤ x ≤ 1,0 ≤ y ≤ 2,0 ≤ z ≤ 3, and N is the outward unit
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