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= (2x, -y, x+z) and C the segments joining (1,0,1) and (0,1,0) and (0,0,1) * Let F = 2. Compute curl F and use it to evaluate F. dr using Stokes' Theorem. 85 - SS F. dr = curl F n dA

= (2x, -y, x+z) and C the segments joining (1,0,1) and (0,1,0) and (0,0,1) * Let F = 2. Compute curl F and use it to evaluate F. dr using Stokes' Theorem. 85 - SS F. dr = curl F n dA

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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C is the boundary of a rectangular region with vertices (1,2), (1,3), (3,2), (3,3) 1. Evaluate using Green's Theorem. * Let F = = (2x, -y, x+z) and C the segments joining (1,0,1) and (0,1,0) and (0,0,1) 2. Compute curl F and use it to evaluate F. dr using Stokes' Theorem. [Pdx + Q dy = f (x - 2) D W div F dV 85 F. dr = * Let F = (4x³z, 4y³z, 3z4) and W the sphere of radius 3. 3. Compute div F and use it to evaluate the flux of F across the boundary of W using fo FindA= dA curl F-n dA Ill div F dV
Transcribed Image Text:C is the boundary of a rectangular region with vertices (1,2), (1,3), (3,2), (3,3) 1. Evaluate using Green's Theorem. * Let F = = (2x, -y, x+z) and C the segments joining (1,0,1) and (0,1,0) and (0,0,1) 2. Compute curl F and use it to evaluate F. dr using Stokes' Theorem. [Pdx + Q dy = f (x - 2) D W div F dV 85 F. dr = * Let F = (4x³z, 4y³z, 3z4) and W the sphere of radius 3. 3. Compute div F and use it to evaluate the flux of F across the boundary of W using fo FindA= dA curl F-n dA Ill div F dV
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