Given F = xi + yj + 2z k and assume that N is the outward directed normal field to the surface S given as the surface of the cube bounded by the planes x = 0, x = 1, y= 0, y=1,z = 0 and 2 = : 1. Evaluate the surface integral 11.P s F. NdS = -1/6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Given F = xi+yj+ 2z k and assume that N is the outward directed normal field to the surface
S given as the surface of the cube bounded by the planes x = 0, x = 1, y = 0, y = 1, z = 0
and 2 = 1.
Evaluate the surface integral
S. F
F. NdS
=
-1/6
Transcribed Image Text:Given F = xi+yj+ 2z k and assume that N is the outward directed normal field to the surface S given as the surface of the cube bounded by the planes x = 0, x = 1, y = 0, y = 1, z = 0 and 2 = 1. Evaluate the surface integral S. F F. NdS = -1/6
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