2. Let S denote the surface of the cube [0, 2] x [0, 2] x [0, 2], but with a small square removed, the square with corners (0,0,0), (1,0,0), (0, 1, 0), and (1, 1, 0). And let S be oriented with its top on the inside of the original cube. ComputeF-ds, where F(x, y, z) = y+z²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Use Gauss Theorem

2. Let S denote the surface of the cube [0, 2] × [0, 2] × [0, 2], but with
a small square removed, the square with corners (0, 0, 0), (1,0,0),
(0, 1, 0), and (1, 1,0). And let S be oriented with its top on the inside
of the original cube. Compute
1₂² F·dS, where F(x, y, z) = (
y²z
y+z²
xy-2z
Transcribed Image Text:2. Let S denote the surface of the cube [0, 2] × [0, 2] × [0, 2], but with a small square removed, the square with corners (0, 0, 0), (1,0,0), (0, 1, 0), and (1, 1,0). And let S be oriented with its top on the inside of the original cube. Compute 1₂² F·dS, where F(x, y, z) = ( y²z y+z² xy-2z
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