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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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